{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1 " -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 0" -1 256 1 {CSTYLE "" -1 -1 "Courier" 1 10 255 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 2" -1 257 1 {CSTYLE "" -1 -1 "Courier" 1 8 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "Normal" -1 259 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 260 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {PARA 258 "" 0 "" {TEXT 262 24 "Calculus Exploration 3: " }} {PARA 258 "" 0 "" {TEXT 263 34 "Tangents as Limits of Secant Lines" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$/*&%inIn~Example~1,~we~approximate~the ~slope~of~the~tangent~line~to~G\"\"\"-%\"fG6#%\"xGF&*$)F*\"\"#F&/*&%%~ at~GF&F*F&F&" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6: -%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F0 7$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$! 3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3 cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLL L02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z \"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-++ +3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Wo mm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3 q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^ ******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#> 7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb `1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G' *oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX') Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z* ****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\" 3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))****** *****f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\" \"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3!**********HL$=F0F\\\\l-F][l6&F_[l$\") !\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"3)***********4hL F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7$F\\\\l$\"3A+++++++5F07$$ \"3mmmm;')=(3\"F0$\"3%p;gK7MqC\"F07$$\"3WLL$e'40j6F0$\"3')eX-$>x>Y\"F0 7$$\"3ommm6hO[7F0$\"3*o^o^:.Pq\"F07$$\"3xmmm\"yYUL\"F0$\"3I<'**QVJq%>F 07$$\"3CLL$eF>(>9F0$\"3sdoz:K?*=#F07$$\"3kmm;>K'*)\\\"F0$\"3c\"\\hxXFP T#F07$$\"3/++]Kd,\"e\"F0$\"3GDUO0$4ik#F07$$\"3gmm;fX(em\"F0$\"3S\"pBZO Um)GF07$$\"3!*****\\U7Y]F0$\"3q;q.6F'**e$F07$$\"3#*******H,Q+?F0$\"3q**Gt LqSMQF07$$\"3)*******\\*3q3#F0$\"3)**\\.$o]&)zSF07$$\"3?+++q=\\q@F0$\" 3-,r-I(*Q;VF07$$\"3mmm;fBIYAF0$\"3!=p(Hje=JXF07$$\"30LLLj$[kL#F0$\"3MK KGT#*f'y%F07$$\"3?LLL`Q\"GT#F0$\"3NL\\1vy'H+&F07$$\"3o****\\s]k,DF0$\" 31CkELgla_F07$$\"3#HLLLvv-e#F0$\"3!G$>>+FWxaF07$$\"33++]sgamEF0$\"3KDk f$)\\(=s&F07$$\"3!)****\\'F07$$\"3JLL$eDBJ\"HF0$\"3If-X9&40U'F07$$\"3immmTc-)*HF0$\"3# pT.8*f1hmF07$$\"3Mmm;f`@'3$F0$\"3f\"p(ejl$4\"pF07$$\"3y****\\nZ)H;$F0$ \"3.v2IJ'\\%GrF07$$\"3YmmmJy*eC$F0$\"3'p6'R.(pLO(F07$$\"3')******R^bJL F0$\"3B*>;[7lgg(F07$$\"3f*****\\5a`T$F0$\"3*)\\'>jC&\\VyF07$$\"3o**** \\7RV'\\$F0$\"3#\\i.t4@K2)F07$$\"3k*****\\@fke$F0$\"3w[fj([#HG$)F07$$ \"3/LLL`4NnOF0$\"3OLzgwa[d&)F07$$\"3#*******\\,s`PF0$\"3d*\\*f7z>-))F0 7$$\"3[mm;zM)>$QF0$\"32\"HF5vVR-*F07$$\"3$*******pfa3Qwix22(37Ffz7$$\"\"&F*$\"30++++?LL7FfzF`\\l-%%TEXTG6'7$$\"'m; 9!\"&$\"\"$!\"\"Q$.836\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEFA ULTG\"#5-Ff\\m6'7$$\"'L$)=F[]m$\"'b!=#F[]mQ2f(x~+~.83)~-~f(x)F`]m%+ALI GNRIGHTGF`\\lFb]m-Ff\\m6(7$$\"$:\"!\"#$\"#oF^]mQ!F`]mF`^m%+ALIGNBELOWG F`\\lFb]m-Ff\\m6'7$$Fg[lF^]m$\"#lF^]mFi^mF`^mF`\\lFb]m-Ff\\m6(7$F^_m$ \"#bF^]mF_^mFa]mF`^mF`\\lFb]m-Ff\\m6(7$$\"\"#F^]m$\"#`F^]mFi^mF`^mFj^m F`\\lFb]m-Ff\\m6(7$$\"\")F^]m$\"$N&Ff^mFi^mF`^mFj^mF`\\lFb]m-F$6%7$7$$ \"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!***************=F0Fj`mF`\\lFd[l-F f\\m6'7$$Fg]mF^]m$\"#^F^]mF_]mFj^mF`\\lFb]m-Ff\\m6&7$Fbam$!#5F^]mQ&x~= ~1F`]mF\\[lFb]m-Ff\\m6$7$F`[lF`[lFi^m-F$6%7$7$F`[lF\\\\lF[\\lF\\[l-Fe[ l6#F]]m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lFbbm-F$6%7$7$F`[lFj\\lFi\\lF`\\lFb bm-F$6%7$7$F^\\lF`[lF]\\lF`\\lFbbm-%&TITLEG6$%5Slope~of~Secant~LineGFb ]m-%+AXESLABELSG6%%!GFgcm-Fc]m6#Ff]m-%*AXESTICKSG6$\"\"%F]dm-%%VIEWG6$ ;F($\"#MF^]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Cu rve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve \+ 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 " 6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=) F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$ $!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$ !3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3R LLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)***** >z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3- +++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3 Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$ !3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$! 3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%! #>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTj Yb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3 G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX ')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3 z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$ \"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))** *********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG 6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3%**********RWp\"F0F\\\\l-F][l6&F_[ l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"3'********* *H6(GF0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7$F\\\\l$\"3A+++++++5 F07$$\"3mmmm;')=(3\"F0$\"3]L8H'\\C\\B\"F07$$\"3WLL$e'40j6F0$\"3fe2#p;F07$$\"3xmmm\"yYUL\"F0$\"32MRR)*y g+>F07$$\"3CLL$eF>(>9F0$\"3'pOwbS348#F07$$\"3kmm;>K'*)\\\"F0$\"3UL9Dck UWBF07$$\"3/++]Kd,\"e\"F0$\"3!)*Hx-.7bc#F07$$\"3gmm;fX(em\"F0$\"3#H.,s /fTz#F07$$\"3!*****\\U7Y] \"*35lD$F07$$\"3ommmhb59>F0$\"3ELrd*e-IY$F07$$\"3#*******H,Q+?F0$\"3)* *>xuBkap$F07$$\"3)*******\\*3q3#F0$\"3.+!Q_R!))GRF07$$\"3?+++q=\\q@F0$ \"3i+G?9,#Q:%F07$$\"3mmm;fBIYAF0$\"3qLIjGp3eVF07$$\"30LLLj$[kL#F0$\"3+ m)*4G*z4g%F07$$\"3?LLL`Q\"GT#F0$\"3Uma(*e@u1[F07$$\"3o****\\s]k,DF0$\" 3K**o9\\D4Y]F07$$\"3#HLLLvv-e#F0$\"3gl9\"3?ezD&F07$$\"33++]sgamEF0$\"3 '3!pe*R3/\\&F07$$\"3!)****\\\"R\"\\ExF07$$\"3k*****\\@fke$F0$\"31+YEn\"f!pzF07$$\"3/LLL `4NnOF0$\"3!eY*p-r,(=)F07$$\"3#*******\\,s`PF0$\"3f+g'4sL(>%)F07$$\"3[ mm;zM)>$QF0$\"3#R$egl&41j)F07$$\"3$*******pfazq5-\"F fz7$$\"3FLL$e#pa-XF0$\"3oOU)QDSP/\"Ffz7$$\"3!*******Rv&)zXF0$\"37gx+N6 dk5Ffz7$$\"3%GLL$GUYoYF0$\"3oY!RbnX%)3\"Ffz7$$\"33mmm1^rZZF0$\"3>$p+# \\$*z46Ffz7$$\"34++]sI@K[F0$\"38!p1\">ocK6Ffz7$$\"34++]2%)38\\F0$\"33I /(G>eV:\"Ffz7$$\"\"&F*$\"33++++gxx6FfzF`\\l-%%TEXTG6'7$$\"'AZ8!\"&$\" \"$!\"\"Q$.696\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#5 -Ff\\m6'7$$\"'WWF[]mQ2f(x~+~.69)~-~f(x)F`]m%+ALIGNRIGHTGF` \\lFb]m-Ff\\m6(7$$\"$:\"!\"#$\"#oF^]mQ!F`]mF`^m%+ALIGNBELOWGF`\\lFb]m- Ff\\m6'7$$Fg[lF^]m$\"#lF^]mFi^mF`^mF`\\lFb]m-Ff\\m6(7$F^_m$\"#bF^]mF_^ mFa]mF`^mF`\\lFb]m-Ff\\m6(7$$\"\"#F^]m$\"#`F^]mFi^mF`^mFj^mF`\\lFb]m-F f\\m6(7$$\"\")F^]m$\"$N&Ff^mFi^mF`^mFj^mF`\\lFb]m-F$6%7$7$$\"3G+++++++ ]Fbr$\"3;+++++++_F07$$\"3!***************=F0Fj`mF`\\lFd[l-Ff\\m6'7$$Fg ]mF^]m$\"#^F^]mF_]mFj^mF`\\lFb]m-Ff\\m6&7$Fbam$!#5F^]mQ&x~=~1F`]mF\\[l Fb]m-Ff\\m6$7$F`[lF`[lFi^m-F$6%7$7$F`[lF\\\\lF[\\lF\\[l-Fe[l6#F]]m-F$6 %7$7$F\\\\lF`[lF[\\lF\\[lFbbm-F$6%7$7$F`[lFj\\lFi\\lF`\\lFbbm-F$6%7$7$ F^\\lF`[lF]\\lF`\\lFbbm-%&TITLEG6$%5Slope~of~Secant~LineGFb]m-%+AXESLA BELSG6%%!GFgcm-Fc]m6#Ff]m-%*AXESTICKSG6$\"\"%F]dm-%%VIEWG6$;F($\"#MF^] m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20 " }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6 %7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma% =\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lC F0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?# F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\" 3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$ \"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$ \"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)! #=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO( fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGE NLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\ mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$ $\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_ $Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q )H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q 6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&f S\"F0$\"3%)=5;,F07$$\"3PmmmmN F0$\"3T]ynAX\"3t$F07$$\"3CLLL8EX T4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))***********f:\" Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-F$6% 7$7$$Fg[lF*F\\\\l7$$\"3++++++qy:F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\ l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"37+++++H#\\#F0F`\\lFd[l-F$6%7$F [\\lFi\\lF`\\lFd[l-F$6$7SF[\\l7$$\"3mmmm;')=(3\"F0$\"3Ym@\"RTK[A\"F07$ $\"3WLL$e'40j6F0$\"3heZ3&*yX?9F07$$\"3ommm6hO[7F0$\"3&or$\\3#f/k\"F07$ $\"3xmmm\"yYUL\"F0$\"3#o,;M$)=>'=F07$$\"3CLL$eF>(>9F0$\"3?e')R**eK#3#F 07$$\"3kmm;>K'*)\\\"F0$\"3w\"*Gjj9n'G#F07$$\"3/++]Kd,\"e\"F0$\"3CD/Cf% f#)\\#F07$$\"3gmm;fX(em\"F0$\"3$=\\xp1%3F0$\"3'p@93( [>dLF07$$\"3#*******H,Q+?F0$\"3-+(HuBq'zNF07$$\"3)*******\\*3q3#F0$\"3 &**\\v#4\"fI!QF07$$\"3?+++q=\\q@F0$\"33+.D!oN$=SF07$$\"3mmm;fBIYAF0$\" 3Q\"\\f0VFQ@%F07$$\"30LLLj$[kL#F0$\"3yKS/IgGYWF07$$\"3?LLL`Q\"GT#F0$\" 3(H8_a&*3Kk%F07$$\"3o****\\s]k,DF0$\"3AC]+KrFs[F07$$\"3#HLLLvv-e#F0$\" 3cKJO#GT]2&F07$$\"33++]sgamEF0$\"3%\\-&p\"p0vH&F07$$\"3!)****\\u)G_hF07$$\"3Mmm;f`@'3$F0$\"3 %3\\HXo-(zjF07$$\"3y****\\nZ)H;$F0$\"3!Qd/,>nwd'F07$$\"3YmmmJy*eC$F0$ \"33;0azUZ\"z'F07$$\"3')******R^bJLF0$\"3'*)fmR#zN7qF07$$\"3f*****\\5a `T$F0$\"3W\\C-x%\\%GsF07$$\"3o****\\7RV'\\$F0$\"3vCY#e;HvV(F07$$\"3k** ***\\@fke$F0$\"3_\\$GJ^w'pwF07$$\"3/LLL`4NnOF0$\"3qJ6&)H7FyyF07$$\"3#* ******\\,s`PF0$\"3#**\\.Oh!*45)F07$$\"3[mm;zM)>$QF0$\"3o!H#*yZ2GI)F07$ $\"3$*******pfa.5Ffz7$$\"3!*******Rv&)zXF0$\"3))fA)RGMJ-\"Ffz7$$\"3%GLL$GUYoYF0$\"3; )3'4-K)f/\"Ffz7$$\"33mmm1^rZZF0$\"3[E5%oa>k1\"Ffz7$$\"34++]sI@K[F0$\"3 _-Dz_*3#)3\"Ffz7$$\"34++]2%)38\\F0$\"3`k!46Ffz7$$\"\"&F*$\"3(**** *****fZJ6FfzF`\\l-%%TEXTG6'7$$\"'N*G\"!\"&$\"\"$!\"\"Q$.586\"%+ALIGNAB OVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#5-Fc\\m6'7$$\"'qG;Fh\\m$\" '9Y$[G+X#= )F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07 $$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$ $!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3 RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)**** *>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3 -+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$! 3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$ $!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$ !3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3% !#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DT jYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\" 3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcm X')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\" 3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$ $\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))** *********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG 6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3,+++++)=S\"F0F\\\\l-F][l6&F_[l$\") !\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"33+++++Fl>F0F`\\ lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7$F\\\\l$\"2y***************F07$ $\"3mmmm;')=(3\"F0$\"3(**\\&[muT47F07$$\"3WLL$e'40j6F0$\"3-DaK%[I;R\"F 07$$\"3ommm6hO[7F0$\"3')\\5&*z![lf\"F07$$\"3xmmm\"yYUL\"F0$\"3')\\tT-S #G!=F07$$\"3CLL$eF>(>9F0$\"3\\C8VJ&>\"3?F07$$\"3kmm;>K'*)\\\"F0$\"3WCU [mZX)>#F07$$\"3/++]Kd,\"e\"F0$\"3WCWtxe`&R#F07$$\"3gmm;fX(em\"F0$\"3iC o\"\\Wd$*f#F07$$\"3!*****\\U7Y]\\?&3:,$F07$$\"3ommmhb59>F0$\"3E]:^25e&>$F07$$\"3#*******H,Q+?F0 $\"3w*pX/..GS$F07$$\"3)*******\\*3q3#F0$\"3(**\\:p#f(3h$F07$$\"3?+++q= \\q@F0$\"35+Vj+5UF07$$\"3?LLL`Q\"GT#F0$\"3K*z#=mMU$R%F07$$\"3o****\\s ]k,DF0$\"3mBq=$G'y1YF07$$\"3#HLLLvv-e#F0$\"3!*)zt\"H&[cz%F07$$\"33++]s gamEF0$\"3!\\-xgMgG+&F07$$\"3!)****\\'F07$$\"3YmmmJy*eC$F0$\"3u[=!Ha*R%R'F07$$\"3')* *****R^bJLF0$\"3-+Y@v*Q,g'F07$$\"3f*****\\5a`T$F0$\"3!zWe7([T,oF07$$\" 3o****\\7RV'\\$F0$\"3#Ri%4]'fh*pF07$$\"3k*****\\@fke$F0$\"3\\\\j\"R_!R 7sF07$$\"3/LLL`4NnOF0$\"3#))z,8e$o1uF07$$\"3#*******\\,s`PF0$\"3++N3\" *G89wF07$$\"3[mm;zM)>$QF0$\"3ZCcx)z7@!yF07$$\"3$*******pfa$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F 07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$! 3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$ !3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL, 6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+ ++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OL LLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$! 3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$ !3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$ $!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yi Ffp$\"3uQ(=z( *QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3> Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(F fp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(***** *fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$ \"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$ \"3PmmmmNF0$\"3T]ynAX\"3t$F07$$ \"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5 !#;7$$\"3!**************R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG $F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$ \"3++++++3z7F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$ 6%7$F]\\l7$F^\\l$\"3,+++++0O;F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6 $7S7$F\\\\l$\"3A+++++++5F07$$\"3mmmm;')=(3\"F0$\"3C+]Cw:r)>\"F07$$\"3W LL$e'40j6F0$\"3e]2Bc%4;P\"F07$$\"3ommm6hO[7F0$\"39+&*4070m:F07$$\"3xmm m\"yYUL\"F0$\"3k+l4S=yh(>9F0$\"3A]F07$$\"3kmm;> K'*)\\\"F0$\"3W]F!G2(=P@F07$$\"3/++]Kd,\"e\"F0$\"3f]2%f&H>CBF07$$\"3gm m;fX(em\"F0$\"3**\\nz2ZfF0$\"3Y+Xf&)zL$3$F07$$\"3#* ******H,Q+?F0$\"3?+IGaj'*zKF07$$\"3)*******\\*3q3#F0$\"3A+]%z4-uZ$F07$ $\"3?+++q=\\q@F0$\"3Q,q\"4-owm$F07$$\"3mmm;fBIYAF0$\"3=]nx1xWSQF07$$\" 30LLLj$[kL#F0$\"3++I([Y**e/%F07$$\"3?LLL`Q\"GT#F0$\"30+?8`S%*>UF07$$\" 3o****\\s]k,DF0$\"3(*\\Zt%G*RAWF07$$\"3#HLLLvv-e#F0$\"3O**>Upkg,YF07$$ \"33++]sgamEF0$\"3o]Z$Q:D#)z%F07$$\"3!)****\\g`F07 $$\"3immmTc-)*HF0$\"3i+D#*R-q`bF07$$\"3Mmm;f`@'3$F0$\"3I]n2DMpadF07$$ \"3y****\\nZ)H;$F0$\"3e]#4Oee'HfF07$$\"3YmmmJy*eC$F0$\"3^+::[di=hF07$$ \"3')******R^bJLF0$\"39+Sd>t%QJ'F07$$\"3f*****\\5a`T$F0$\"3d*\\02aL[]' F07$$\"3o****\\7RV'\\$F0$\"3s\\(y*HDi*o'F07$$\"3k*****\\@fke$F0$\"3y+l !p>*z%*oF07$$\"3/LLL`4NnOF0$\"3y+?ud&f\"zqF07$$\"3#*******\\,s`PF0$\"3 '4+lQf.gF(F07$$\"3[mm;zM)>$QF0$\"3!)\\(otatVX(F07$$\"3$*******pfa@JIb(f)F07$$\"36mmm,FT= WF0$\"3S*\\o$)Q/4z)F07$$\"3FLL$e#pa-XF0$\"3E^nm)paE)*)F07$$\"3!******* Rv&)zXF0$\"3#)**RT>L&)e\"*F07$$\"3%GLL$GUYoYF0$\"3w*\\%zAozg$*F07$$\"3 3mmm1^rZZF0$\"3)***Rg*\\<9a*F07$$\"34++]sI@K[F0$\"3)=vMN\"o*Rt*F07$$\" 34++]2%)38\\F0$\"3b^K`*y>$=**F07$$\"\"&F*$\"30+++++k65FfzF`\\l-%%TEXTG 6'7$$\"'3H:!\"&$\"\"$!\"\"Q$.286\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVET ICAG%(DEFAULTG\"#5-Ff\\m6'7$$\"'3H8F[]m$\"'-=8F[]mQ2f(x~+~.28)~-~f(x)F `]m%+ALIGNRIGHTGF`\\lFb]m-Ff\\m6(7$$\"$:\"!\"#$\"#oF^]mQ!F`]mF`^m%+ALI GNBELOWGF`\\lFb]m-Ff\\m6'7$$Fg[lF^]m$\"#lF^]mFi^mF`^mF`\\lFb]m-Ff\\m6( 7$F^_m$\"#bF^]mF_^mFa]mF`^mF`\\lFb]m-Ff\\m6(7$$\"\"#F^]m$\"#`F^]mFi^mF `^mFj^mF`\\lFb]m-Ff\\m6(7$$\"\")F^]m$\"$N&Ff^mFi^mF`^mFj^mF`\\lFb]m-F$ 6%7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!***************=F0Fj`mF`\\ lFd[l-Ff\\m6'7$$Fg]mF^]m$\"#^F^]mF_]mFj^mF`\\lFb]m-Ff\\m6&7$Fbam$!#5F^ ]mQ&x~=~1F`]mF\\[lFb]m-Ff\\m6$7$F`[lF`[lFi^m-F$6%7$7$F`[lF\\\\lF[\\lF \\[l-Fe[l6#F]]m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lFbbm-F$6%7$7$F`[lFj\\lFi\\ lF`\\lFbbm-F$6%7$7$F^\\lF`[lF]\\lF`\\lFbbm-%&TITLEG6$%5Slope~of~Secant ~LineGFb]m-%+AXESLABELSG6%%!GFgcm-Fc]m6#Ff]m-%*AXESTICKSG6$\"\"%F]dm-% %VIEWG6$;F($\"#MF^]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Cur ve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 1 8" "Curve 19" "Curve 20" }}{TEXT -1 0 "" }}{PARA 258 "" 0 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F *7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F 07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$! 3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$ !3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL, 6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+ ++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OL LLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$! 3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$ !3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$ $!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yi Ffp$\"3uQ(=z( *QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3> Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(F fp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(***** *fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$ \"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$ \"3PmmmmNF0$\"3T]ynAX\"3t$F07$$ \"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5 !#;7$$\"3!**************R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG $F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$ \"3%**********p]/\"F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[l Fd[l-F$6%7$F]\\l7$F^\\l$\"33+++++<#4\"F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\ lFd[l-F$6$7S7$F\\\\l$\"3A+++++++5F07$$\"3mmmm;')=(3\"F0$\"3A+!G'3UIy6F 07$$\"3WLL$e'40j6F0$\"3^+y;ZdWL8F07$$\"3ommm6hO[7F0$\"3F+G+L'=z]\"F07$ $\"3xmmm\"yYUL\"F0$\"3k+'z$Q![No\"F07$$\"3CLL$eF>(>9F0$\"3%**>]yqU$e=F 07$$\"3kmm;>K'*)\\\"F0$\"3C+YsT(*R??F07$$\"3/++]Kd,\"e\"F0$\"31+=f8/?) =#F07$$\"3gmm;fX(em\"F0$\"3#**>y%3,uhBF07$$\"3!*****\\U7Y]i$ fKsMDF07$$\"3QLLLV!pu$=F0$\"3$4SyBpdEr#F07$$\"3ommmhb59>F0$\"3#3!3$yV# QpGF07$$\"3#*******H,Q+?F0$\"3G+_0\"Q^4O!4LPF07$$\"3?LLL`Q\"GT#F0$\"3' **z?E%3E*)QF07$$\"3o****\\s]k,DF0$\"3C*Rl!RU#42%F07$$\"3#HLLLvv-e#F0$ \"31*z'fErsJUF07$$\"33++]sgamEF0$\"3#4S0,Q`\"3WF07$$\"3!)****\\?Y*G:wXF07$$\"3;LLLe/TMGF0$\"33++rjFW^ZF07$$\"3JLL$eDBJ\"HF0$\" 3o+%4Je8C\"\\F07$$\"3immmTc-)*HF0$\"3k+SBeB/'3&F07$$\"3Mmm;f`@'3$F0$\" 3m*>5\"eQRm_F07$$\"3y****\\nZ)H;$F0$\"3P+#G*o.RBaF07$$\"3YmmmJy*eC$F0$ \"3o*fr;!4&Hf&F07$$\"3')******R^bJLF0$\"3))*f0N_B\"odF07$$\"3f*****\\5 a`T$F0$\"3X*>*))ed\\RfF07$$\"3o****\\7RV'\\$F0$\"35+!>%3sI0hF07$$\"3k* ****\\@fke$F0$\"3!)*fVIb7%*G'F07$$\"3/LLL`4NnOF0$\"33+[g$RR[X'F07$$\"3 #*******\\,s`PF0$\"30+gbbyYJmF07$$\"3[mm;zM)>$QF0$\"3c+]B%\\>:z'F07$$ \"3$*******pfa`1QXuD&F07$$!3*****\\7;)=,?F0$\"3%eH!HB>q5SF07$$!3/++ DO\"3V(=F0$\"3sQ*zz:y:'HF07$$!3#******\\V'zVr?F07$$!3* *****\\d;%)G;F0$\"39jWd'y&*\\V\"F07$$!3!******\\!)H%*\\\"F0$\"3-z8:;Bj G()!#=7$$!3/+++vl[p8F0$\"32glMhT.+YFeo7$$!3\"******\\>iUC\"F0$\"3L2Z$= Cdc$>Feo7$$!3-++DhkaI6F0$\"3LM7]%y&>N`!#>7$$!3s******\\XF`**Feo$\"3_(e Gmh,'Rl!#A7$$!3u*******>#z2))Feo$\"3i&RQUtAY4%Fep7$$!3S++]7RKvuFeo$\"3 1z*z\">UF^F07$$\"3]****\\(QIKH\"Feo$\"31ixwfi!eQ#F07$$\"38* ***\\7:xWCFeo$\"3\\QS&*z#>)=FF07$$\"3E,++vuY)o$Feo$\"31\">X&3%fj0$F07$ $\"3!z******4FL(\\Feo$\"3?ZB#[%z)*oLF07$$\"3A)****\\d6.B'Feo$\"3)4h(HC GDFOF07$$\"3s****\\(o3lW(Feo$\"3'Hiy&Q+/@QF07$$\"35*****\\A))oz)Feo$\" 3MRJYRrJeRF07$$\"3e******Hk-,5F0$\"39hHCQo****RF07$$\"36+++D-eI6F0$\"3 E*>;c')>m%RF07$$\"3u***\\(=_(zC\"F0$\"3A'yQEXw-!QF07$$\"3M+++b*=jP\"F0 $\"3U4/zj$f=_$F07$$\"3g***\\(3/3(\\\"F0$\"3ZL`,M,\"f8$F07$$\"33++vB4JB ;F0$\"3_(H;P*QG#f#F07$$\"3u*****\\KCnu\"F0$\"39VaYTp$3\">F07$$\"3s*** \\(=n#f(=F0$\"3VQZ%GY/i-\"F07$$\"3P+++!)RO+?F0$!3Gtj'o$\\hwKFbs7$$\"30 ++]_!>w7#F0$!3!fk07pp$[7F07$$\"3O++v)Q?QD#F0$!3au%*RiXG(o#F07$$\"3G+++ 5jypBF0$!3%[8u&oN4*>%F07$$\"3<++]Ujp-DF0$!33,(\\4%>_nhF07$$\"3++++gEd@ EF0$!3%[2@cc:C:)F07$$\"39++v3'>$[FF0$!3]Rn\")e:Q^5F37$$\"37++D6EjpGF0$ !35=Y^*y#>-8F37$$\"\"$F*$F3F*-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\") -%+AXESLABELSG6$Q\"x6\"Q\"yFh[l-%%VIEWG6$;F(Fiz;$!\"%F*$\"\")F*" 1 2 0 1 10 0 2 6 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 30 "C ompile Secant Line Movie Code" }}{PARA 0 "" 0 "" {TEXT 256 110 "Click \+ in red area and press [Enter] to compile code.\nNext, close this secti on and proceed to the next section." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9881 "restart:\nwith(plottools):\nSecantLineMovie:=proc(e xpr,time,frame)\nlocal m,i,xleft,xright,yint_xleft_str,yint_xright_str ,\nelapsed_time,time_text,elapsed_time_str,dist_trav,dist_trav_str,\nv elocity,velocity_str,tsf_str,rp,endcolor,endlinestyle,h,h_approx,\nh_t xt,h_txt_digit,h_txt_t,t1,t2,y1,y2,sec_xright,tsf_xright_str,plottxtn, \nf,IN,tif,tsf,maincolor,movie_frame,reversemovie_frame,SecantLine:\nf :=unapply(expr,x);\nIN:=unapply(unapply(normal(f(x)-D(f)(x)*x),x),f): \ntif:=unapply(IN(f)(t),t):\ntsf:=unapply(D(f)(t),t):\nplottxtn:=10:\n Digits:=6:\nm:=21:\nfor i from 1 to m do\nxright:=time:\ntime_text:=co nvert(time,string):\nif xright >= 2 then\nsec_xright:=xright + .2:\nel if 1 <= xright and xright < 2 then\nsec_xright:=2:\nelif 0 <= xright a nd xright < 1 then\nsec_xright:=1.4:\nelif -1 <= xright and xright < 0 then\nsec_xright:=0:\nelif -2 <= xright and xright < -1 then \nsec_xr ight:=-.6:\nelif xright < -2 then \nsec_xright:=xright + .2:\nfi:\nh:= (sec_xright-xright)*(1.2)^(-i+1):\nh_approx:=evalf(trunc(100*h)/100,2) :\nif h_approx >= .1 then\nh_txt:=convert(h_approx,string):\nelse\nh_t xt_digit:=trunc(100*h_approx):\nh_txt:=`.0`||h_txt_digit:\nfi:\nt1:=ev alf(xright):\nt2:=evalf(xright+h):\ny1:=evalf(f(xright)):\ny2:=evalf(f (xright+h)):\nyint_xright_str:=convert(evalf(IN(f)(xright),3),string): \ntsf_xright_str:=convert(evalf(D(f)(xright),3),string):\nmaincolor:=n avy:\nendcolor:=red:\nrp[1]:=plot(f(t),t=-3..3.4,y=-3...7,\n#rp[1]:=pl ot(f(t),t=-2..2,y=-8...8,\n labels=[``,``],\n co lor=blue,linestyle=1):\nrp[2]:=plot([[t1,y1],[t2,y1]],linestyle=1,colo r=maincolor):\nrp[3]:=plot([[t2,y1],[t2,y2]],linestyle=1,color=maincol or):\nrp[4]:=plot([[t1,y1],[t2,y2]],linestyle=1,color=maincolor):\nrp[ 5]:=plot(((y2-y1)/(t2-t1))*t+f(t1)-((y2-y1)/(t2-t1))*t1,\n \+ t=t1..5,y=f(t1)...5,color=maincolor):\nif h_approx >= 0.3 then\nh_ txt_t:=(t1+t2)/2:\nelse\nh_txt_t:=t2+0.25:\nfi:\nrp[6]:=plots[textplot ]([h_txt_t,0.3,h_txt],\n font=[HELVETICA,DEFAUL T,plottxtn],\n color=maincolor,align=\{ABOVE,CE NTER\}):\nrp[7]:=plots[textplot]([t2+0.05,(y1+y2)/2,\n \+ `f(x + `||h_txt||`) - f(x)`],\n font=[H ELVETICA,DEFAULT,plottxtn],\n color=maincolor,a lign=\{RIGHT\}): \nrp[8]:=plots[textplot]([0,0,``]):\n\n# end movie_f rame[i] for i < m\nrp[9]:=plot([[xright,f(xright)],[xright,IN(f)(xrigh t)]],\n linestyle=1,color=red):\n#rp[10]:=plot([[xright,IN (f)(xright)],[0,IN(f)(xright)]],\n# linestyle=1,color=red) :\nrp[10]:=plot([[0,IN(f)(xright)],[-f(xright),xright]],\n \+ linestyle=1,color=red):\nrp[11]:=plot([[0,IN(f)(xright)],[xright,f(x right)]],\n linestyle=1,color=red):\n# movie_frame[i] for i < m\n#rp[12]:=plots[textplot]([1.15,6.8,`3`],\nrp[12]:=plots[textpl ot]([1.15,6.8,``],\n font=[HELVETICA,DEFAULT,pl ottxtn],\n color=maincolor,align=\{BELOW,RIGHT \}): \n#rp[13]:=plots[textplot]([0.1,6.5,`y = f(x) = -x + 3x + 2`],\nrp[13]:=plots[textplot]([0.1,6.5,``],\n \+ font=[HELVETICA,DEFAULT,plottxtn],\n \+ color=maincolor,align=\{RIGHT\}): \nif i < m then\nrp[14]:=plots[te xtplot]([0.1,5.5,`f(x + `||h_txt||`) - f(x)`],\n \+ font=[HELVETICA,DEFAULT,plottxtn],\n color=ma incolor,align=\{ABOVE,RIGHT\}): \nrp[15]:=plots[textplot]([0.2,5.3,``] ,\n font=[HELVETICA,DEFAULT,plottxtn],\n \+ color=maincolor,align=\{BELOW,RIGHT\}):\nrp[16]:=plot s[textplot]([0.8,5.35,``],\n font=[HELVETICA,DE FAULT,plottxtn],\n color=maincolor,align=\{BELO W,RIGHT\}):\n\nrp[17]:=plot([[.05,5.2],[1.9,5.2]],linestyle=1,color=ma incolor):\nrp[18]:=plots[textplot]([1.0,5.1,h_txt],\n \+ font=[HELVETICA,DEFAULT,plottxtn],\n col or=maincolor,align=\{BELOW,CENTER\}): \nelif i = m and 0 <= xright the n\nrp[14]:=plots[textplot]([0,0,``]):\nrp[15]:=plots[textplot]([0.2,5. 35,`slope`],\n font=[HELVETICA,DEFAULT,plottxtn ],\n color=endcolor,align=\{BELOW,RIGHT\}):\nrp [16]:=plots[textplot]([0.8,5.35,`=`],\n font=[H ELVETICA,DEFAULT,plottxtn], \+ color=endcolor,al ign=\{BELOW,RIGHT\}):\nrp[17]:=plots[textplot]([0,0,``]):\nrp[18]:=plo ts[textplot]([1.05,5.35,tsf_xright_str],\n font =[HELVETICA,DEFAULT,plottxtn],\n color=endcolor ,align=\{BELOW,RIGHT\}): \nelif i = m and xright < 0 then\nrp[14]:=plo ts[textplot]([0,0,``]):\nrp[15]:=plots[textplot]([-1.6,5.35,`slope`], \n font=[HELVETICA,DEFAULT,plottxtn],\n \+ color=endcolor,align=\{BELOW,RIGHT\}):\nrp[16]:=plots[ textplot]([-1.0,5.35,`=`],\n font=[HELVETICA,DE FAULT,plottxtn], \+ \+ co lor=endcolor,align=\{BELOW,RIGHT\}):\nrp[17]:=plots[textplot]([0,0,``] ):\nrp[18]:=plots[textplot]([-0.8,5.35,tsf_xright_str],\n \+ font=[HELVETICA,DEFAULT,plottxtn],\n \+ color=endcolor,align=\{BELOW,RIGHT\}): \nfi:\nif i = 1 and 0 <= xrigh t then\nrp[19]:=plots[textplot]([1.0,-1.0,\n `x = `||time_text],\n font=[HELVETICA,DEFAULT,plo ttxtn],\n color=blue,align=\{CENTER\}):\nelif i = 1 and xright < 0 then \nrp[19]:=plots[textplot]([-1.0,-1.0,\n \+ `Begin x = `||time_text],\n \+ font=[HELVETICA,DEFAULT,plottxtn],\n color=blue ,align=\{CENTER\}):\nelif 1 < i and 0 <= xright then\nrp[19]:=plots[te xtplot]([1.0,-1.0,\n `x = `||time_text],\n \+ font=[HELVETICA,DEFAULT,plottxtn],\n \+ color=blue,align=\{CENTER\}):\nelif 1 < i and xright < 0 then \nrp[19]:=plots[textplot]([-1.0,-1.0,\n `x = `| |time_text],\n font=[HELVETICA,DEFAULT,plottxtn ],\n color=blue,align=\{CENTER\}):\nfi:\n# end \+ movie_frame[i] for i < m\nrp[20]:=plot(tsf(t1)*t+tif(t1),t=-4..4,color =red):\n# movie_frame[i] for i < m\nif xright = -1 and i = m then\n#rp [21]:=plot(tsf(t1+.1)*t+tif(t1+.1),t=-4..4,thickness=3,color=red):\nrp [21]:=plot([[-3.5,.01],[3.6,.01]],thickness=2,color=red):\nelse\nrp[21 ]:=plots[textplot]([0,0,``]):\nfi:\nrp[22]:=plot([[0,f(xright)],[xrigh t,f(xright)]], color=blue,linestyle=3); \nrp[23]:=plot([[xright,0],[xright,f(xright)]], \+ color=blue,linestyle=3);\nrp[24]:=plot([[0,y2],[t2,y2]],lines tyle=3,color=maincolor):\nrp[25]:=plot([[t2,0],[t2,y1]],linestyle=3,co lor=maincolor):\n# end movie_frame[i] for i < m\nif t1 <= 0 and tsf(t1 ) <= 0 then\n rp[26]:=plots[textplot]([t1,f(t1)-2.0,`tangent`],\n \+ font=[HELVETICA,DEFAULT,plottxtn],\n \+ color=endcolor,align=\{BELOW,LEFT\}):\nelif t1 <= 0 and tsf (t1) > 0 then\n rp[26]:=plots[textplot]([t1,f(t1)+2.0,`tangent`],\n \+ font=[HELVETICA,DEFAULT,plottxtn],\n \+ color=endcolor,align=\{ABOVE,LEFT\}):\nelif t1 > 0 and ts f(t1) <= 0 then\n rp[26]:=plots[textplot]([t1,f(t1)+2.0,`tangent`],\n \+ font=[HELVETICA,DEFAULT,plottxtn],\n \+ color=endcolor,align=\{ABOVE,RIGHT\}):\nelif t1 > 0 and tsf(t1) > 0 then\n rp[26]:=plots[textplot]([t1,f(t1)+2.0,`tangent`], \n font=[HELVETICA,DEFAULT,plottxtn],\n \+ color=endcolor,align=\{ABOVE,CENTER\}):\nfi:\nrp[27] :=plots[textplot]([t2+0.05,tif(t2)+(f(t2)-tif(t2))/2,\n \+ `tangent triangle`],\n font=[HELVETI CA,DEFAULT,plottxtn],\n color=endcolor,align= \{BELOW,RIGHT\}): \nif i =1 then\nmovie_frame[i]:=plots[dis play](\n [seq(rp[j],j=1..8),\n seq(rp [j],j=12..19),\n seq(rp[j],j=21..25)]):\nelif 1 < i a nd i < m then\nmovie_frame[i]:=plots[display](\n [seq( rp[j],j=1..7),\n seq(rp[j],j=12..19),\n \+ seq(rp[j],j=21..25)]):\nelse\nmovie_frame[i]:=plots[display](\n \+ [seq(rp[j],j=1..1),\n seq(rp[j],j=12..2 3)\n\n # seq(rp[j],j=19..23),\n # seq( rp[j],j=20..23),\n # seq(rp[j],j=26..26)\n]):\nfi:\n#r eversemovie_frame[m-(i-1)]:=plots[display]([seq(rp[j],j=0..8)]): \nod :\nif frame = 0 then\n# Create Maple movie.\nSecantLine[frame]:=\n plo ts[display]([movie_frame[1],movie_frame[1],movie_frame[1],\n \+ seq(movie_frame[j],j=1..m), \+ \+ \+ \+ movie_frame[m],movie_frame[m],m ovie_frame[m]],\n #seq(reversemovie_frame[j],j=1..m), \n insequence = true,\n #scaling=const rained,\n #labels=[``,``],\n xtickmark s=5,ytickmarks=4,\n view=[-3..3.4,-3..7],\n \+ titlefont=[HELVETICA,DEFAULT,plottxtn],\n title= `Slope of Secant Line`):\nelse\n# Create individual frames to export t o *.gifs for Java movie.\nSecantLine[frame]:=\n plots[display]([movie_ frame[frame]],\n #scaling=constrained,\n \+ #labels=[``,``],\n xtickmarks=4,ytickmarks=4,\n \+ view=[-3..3.4,-3..7],\n titlefont=[HELVET ICA,DEFAULT,plottxtn],\n title=`Slope of Secant Line`) :\nfi:\nSecantLine[frame]\nend:" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 21 "Run Secant Line Movie" }}{PARA 0 "" 0 "" {TEXT 258 54 "Enter the d efining expression for the function f, and " }{TEXT -1 1 "\n" }{TEXT 259 54 "the x_val at which you want to compute the slope of f." } {TEXT -1 1 " " }}{EXCHG {PARA 0 "" 0 "" {TEXT 257 0 "" }{MPLTEXT 1 0 65 "f:=x->x^2: \nx_val:=1:\n'f'(x)=f(x);\nSecantLineMovie(f(x),x_val,0 );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG*$)F'\"\"#\"\"\"" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6&-%(ANIMATEG6=7 9-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F.7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F 47$$!3[mmma%=\"RFF4$\"332bp3*pF](F47$$!3ULLL@Uh-EF4$\"3?8l3&y+Ox'F47$$ !3OLLL\\^?lCF4$\"3a#e*HGkBxgF47$$!3Ymmme\"\\%GBF4$\"3H2b\\%[v;U&F47$$! 3cLLL\\)e;?#F4$\"3oyx%))o,t%[F47$$!3G+++G[Pq?F4$\"3uIgTG>X'G%F47$$!3RL LL02gM>F4$\"3mEWWwbFF47$$!3FLLL,6VP:F4$\"33EqM\"R%pjBF47$$!3%)*****> z\"R*R\"F4$\"3#4(p^(Q(He>F47$$!39+++!o&yg7F4$\"3%G1$*3`!e*e\"F47$$!3-+ ++3I@F6F4$\"313WSl\"41F\"F47$$!3OLLLDi\"f+\"F4$\"3ch))Q_u'=,\"F47$$!3W omm'=Eoh)!#=$\"3mVC7`$p\\U(Fjp7$$!3?lmmY$y\\R(Fjp$\"33&)owu/doaFjp7$$! 3q+++S)yO(fFjp$\"3UvjM))Q[oNFjp7$$!3eqmmYze:ZFjp$\"3m)zu#opnBAFjp7$$!3 ^******RGENLFjp$\"3@'[)=@yR76Fjp7$$!3d******>p'3-#Fjp$\"3%[G]$3J!R3%!# >7$$!3#*\\mmmmK%\\'Ffr$\"32cxL&)yiFjp$\"3uQ(=z(*QY(QFfr7$$\"3)\\mmmuX%zLFjp$\"3DTj Yb`1U6Fjp7$$\"3P******ziv2YFjp$\"3>Vze$zTJ7#Fjp7$$\"3%ommmIlV$fFjp$\"3 G'*oHf\"p;_$Fjp7$$\"3'o*****RA)[I(Fjp$\"3OPn-a/8O`Fjp7$$\"3q)*****zcmX ')Fjp$\"3'Q)H.0NvuuFjp7$$\"3j(******fUH%**Fjp$\"3ur%*oa2@'))*Fjp7$$\"3 z*****RuM$Q6F4$\"35XvR*)f!eH\"F47$$\"3aKLLD:wn7F4$\"3$y\\:^G>sg\"F47$$ \"3T+++SA&fS\"F4$\"3%)=5;,F47$$\"3PmmmmNF4$\"3T]ynAX\"3t$F47$$\"3CLLL8EXT4E$F4$\"3%o=P`\"RPj5!#;7$$\"3!**************R$F4$\"3))** *********f:\"Fjz-%'COLOURG6&%$RGBG$F.F.Fd[l$\"*++++\"!\")-%*LINESTYLEG 6#\"\"\"-F(6%7$7$$F[\\lF.F`\\l7$$\"\"#F.F`\\l-Fa[l6&Fc[l$\")!\\DP\"Fg[ lFf\\l$\")viobFg[lFh[l-F(6%7$Fa\\l7$Fb\\l$\"\"%F.Fd\\lFh[l-F(6%7$F_\\l F]]lFd\\lFh[l-F(6$7SF_\\l7$$\"3mmmm;')=(3\"F4$\"3A+++]ech7F47$$\"3WLL$ e'40j6F4$\"3O++](*G:*[\"F47$$\"3ommm6hO[7F4$\"3y*****\\L)4X(>9F4$\"3G****\\Fy:fAF47$$\"3k mm;>K'*)\\\"F4$\"3q****\\d'*)o\\#F47$$\"3/++]Kd,\"e\"F4$\"3:++](>ZIu#F 47$$\"3gmm;fX(em\"F4$\"3-++]xOi(*HF47$$\"3!*****\\U7Y]F4$\"3[+++&o;B u$F47$$\"3#*******H,Q+?F4$\"3x*******QS6+%F47$$\"3)*******\\*3q3#F4$\" 3O+++]o-hUF47$$\"3?+++q=\\q@F4$\"3k+++5cZ6XF47$$\"3mmm;fBIYAF4$\"3S++] xq!*QZF47$$\"30LLLj$[kL#F4$\"3<*******3X$4]F47$$\"3?LLL`Q\"GT#F4$\"30+ ++g:WQ_F47$$\"3o****\\s]k,DF4$\"3.****\\<_$\\]&F47$$\"3#HLLLvv-e#F4$\" 3x)*****fs#3u&F47$$\"33++]sgamEF4$\"3E++]<#Q'**fF47$$\"3!)****\\$QF4$\"3Y****\\P/&f\\*F47$$\"3$*******pfa`9VA\"Fjz7$$\"34++]sI@K[F4$\"3/++v@Rm \\7Fjz7$$\"34++]2%)38\\F4$\"3/++DAl#RF\"Fjz7$$\"\"&F.$\"#8F.Fd\\l-%%TE XTG6'7$$\"'++:!\"&$\"\"$!\"\"Q#1.6\"%+ALIGNABOVEGFd\\l-%%FONTG6%%*HELV ETICAG%(DEFAULTG\"#5-Fg\\m6'7$$\"$0#!\"#$\"'++DF\\]mQ1f(x~+~1.)~-~f(x) Fa]m%+ALIGNRIGHTGFd\\lFc]m-Fg\\m6$7$Fd[lFd[lQ!Fa]m-Fg\\m6(7$$\"$:\"F^^ m$\"#oF_]mFf^mFb^m%+ALIGNBELOWGFd\\lFc]m-Fg\\m6'7$$F[\\lF_]m$\"#lF_]mF f^mFb^mFd\\lFc]m-Fg\\m6(7$Fb_m$\"#bF_]mFa^mFb]mFb^mFd\\lFc]m-Fg\\m6(7$ $Fc\\lF_]m$\"#`F_]mFf^mFb^mF^_mFd\\lFc]m-Fg\\m6(7$$\"\")F_]m$\"$N&F^^m Ff^mFb^mF^_mFd\\lFc]m-F(6%7$7$$\"3G+++++++]Ffr$\"3;+++++++_F47$$\"3!** *************=F4F]amFd\\lFh[l-Fg\\m6'7$$Fh]mF_]m$\"#^F_]mF`]mF^_mFd\\l Fc]m-Fg\\m6&7$Feam$!#5F_]mQ&x~=~1Fa]mF`[lFc]mFc^m-F(6%7$7$Fd[lF`\\lF_ \\lF`[l-Fi[l6#F^]m-F(6%7$7$F`\\lFd[lF_\\lF`[lFbbm-F(6%7$7$Fd[lF^]lF]]l Fd\\lFbbm-F(6%7$7$Fb\\lFd[lFa\\lFd\\lFbbm-%+AXESLABELSG6%%!GFccm-Fd]m6 #Fg]m-%%VIEWG6$;F,Fb\\m;F,$\"\"(F.F&F&F&78F'-F(6%7$F_\\l7$$\"3!******* ***HL$=F4F`\\lFd\\lFh[l-F(6%7$Fadm7$Fbdm$\"3)***********4hLF4Fd\\lFh[l -F(6%7$F_\\lFgdmFd\\lFh[l-F(6$7S7$F`\\l$\"3A+++++++5F47$Fg]l$\"3%p;gK7 MqC\"F47$F\\^l$\"3')eX-$>x>Y\"F47$Fa^l$\"3*o^o^:.Pq\"F47$Ff^l$\"3I<'** QVJq%>F47$F[_l$\"3sdoz:K?*=#F47$F`_l$\"3c\"\\hxXFPT#F47$Fe_l$\"3GDUO0$ 4ik#F47$Fj_l$\"3S\"pBZOUm)GF47$F_`l$\"37DD@_VIEJF47$Fd`l$\"3=Lwakh#GP$ F47$Fi`l$\"3q;q.6F'**e$F47$F^al$\"3q**GtLqSMQF47$Fcal$\"3)**\\.$o]&)zS F47$Fhal$\"3-,r-I(*Q;VF47$F]bl$\"3!=p(Hje=JXF47$Fbbl$\"3MKKGT#*f'y%F47 $Fgbl$\"3NL\\1vy'H+&F47$F\\cl$\"31CkELgla_F47$Facl$\"3!G$>>+FWxaF47$Ff cl$\"3KDkf$)\\(=s&F47$F[dl$\"35vsf?BjafF47$F`dl$\"3#Ge4R=!\\(>'F47$Fed l$\"3If-X9&40U'F47$Fjdl$\"3#pT.8*f1hmF47$F_el$\"3f\"p(ejl$4\"pF47$Fdel $\"3.v2IJ'\\%GrF47$Fiel$\"3'p6'R.(pLO(F47$F^fl$\"3B*>;[7lgg(F47$Fcfl$ \"3*)\\'>jC&\\VyF47$Fhfl$\"3#\\i.t4@K2)F47$F]gl$\"3w[fj([#HG$)F47$Fbgl $\"3OLzgwa[d&)F47$Fggl$\"3d*\\*f7z>-))F47$F\\hl$\"32\"HF5vVR-*F47$Fahl $\"3O+,=B0Pm#*F47$Ffhl$\"3Ied,B_Z%\\*F47$F[il$\"3;Ddsf.\"Ht*F47$F`il$ \"3UK[$yGCg'**F47$Feil$\"3Zi!pmH25-\"Fjz7$Fjil$\"3qE-.&37X/\"Fjz7$F_jl $\"3a@8+E\"\\&o5Fjz7$Fdjl$\"3%e8P\"GrQ#4\"Fjz7$Fijl$\"3'*>3Qwix22(37Fjz7$Fb\\m$\"30++++?LL7FjzFd\\l-Fg\\m6'7$$\"'m;9F\\ ]mF]]mQ$.83Fa]mFb]mFd\\lFc]m-Fg\\m6'7$$\"'L$)=F\\]m$\"'b!=#F\\]mQ2f(x~ +~.83)~-~f(x)Fa]mFb^mFd\\lFc]mFg^mF__m-Fg\\m6(Fg_mF`_nFb]mFb^mFd\\lFc] mFj_mF``mFg`m-Fg\\m6'FdamFh^nF^_mFd\\lFc]mFhamFc^mF^bmFdbm-F(6%7$7$Fd[ lFhdmFgdmFd\\lFbbm-F(6%7$7$FbdmFd[lFadmFd\\lFbbmF`cmFfcm78F'-F(6%7$F_ \\l7$$\"3%**********RWp\"F4F`\\lFd\\lFh[l-F(6%7$Fa`n7$Fb`n$\"3'******* ***H6(GF4Fd\\lFh[l-F(6%7$F_\\lFg`nFd\\lFh[l-F(6$7SF`em7$Fg]l$\"3]L8H' \\C\\B\"F47$F\\^l$\"3fe2#p;F47$Ff^l$\"32MRR )*yg+>F47$F[_l$\"3'pOwbS348#F47$F`_l$\"3UL9DckUWBF47$Fe_l$\"3!)*Hx-.7b c#F47$Fj_l$\"3#H.,s/fTz#F47$F_`l$\"3<+\"*35lD$ F47$Fi`l$\"3ELrd*e-IY$F47$F^al$\"3)**>xuBkap$F47$Fcal$\"3.+!Q_R!))GRF4 7$Fhal$\"3i+G?9,#Q:%F47$F]bl$\"3qLIjGp3eVF47$Fbbl$\"3+m)*4G*z4g%F47$Fg bl$\"3Uma(*e@u1[F47$F\\cl$\"3K**o9\\D4Y]F47$Facl$\"3gl9\"3?ezD&F47$Ffc l$\"3'3!pe*R3/\\&F47$F[dl$\"3v*p/&efv6dF47$F`dl$\"37m;N:*3F%fF47$Fedl$ \"3?nvWDezahF47$Fjdl$\"3'QLK*4-c$Q'F47$F_el$\"3yKIN7@=@mF47$Fdel$\"3b* pUpnK!GoF47$Fiel$\"3eLfb`pV^qF47$F^fl$\"3o+;UJaB#G(F47$Fcfl$\"34+in9n- 3vF47$Fhfl$\"3I+l>\"R\"\\ExF47$F]gl$\"31+YEn\"f!pzF47$Fbgl$\"3!eY*p-r, (=)F47$Fggl$\"3f+g'4sL(>%)F47$F\\hl$\"3#R$egl&41j)F47$Fahl$\"3!4!oSjD: h))F47$Ffhl$\"3#oc,xbv!y!*F47$F[il$\"3q+$f-fA[I*F47$F`il$\"31m'o,E4l_* F47$Feil$\"35+DreYfe(*F47$Fjil$\"3cLT^\"[?@)**F47$F_jl$\"3Dty)>zq5-\"F jz7$Fdjl$\"3oOU)QDSP/\"Fjz7$Fijl$\"37gx+N6dk5Fjz7$F^[m$\"3oY!RbnX%)3\" Fjz7$Fc[m$\"3>$p+#\\$*z46Fjz7$Fh[m$\"38!p1\">ocK6Fjz7$F]\\m$\"33I/(G>e V:\"Fjz7$Fb\\m$\"33++++gxx6FjzFd\\l-Fg\\m6'7$$\"'AZ8F\\]mF]]mQ$.69Fa]m Fb]mFd\\lFc]m-Fg\\m6'7$$\"'WWF\\]mQ2f(x~+~.69)~-~f(x)Fa]m Fb^mFd\\lFc]mFg^mF__m-Fg\\m6(Fg_mF][oFb]mFb^mFd\\lFc]mFj_mF``mFg`m-Fg \\m6'FdamFejnF^_mFd\\lFc]mFhamFc^mF^bmFdbm-F(6%7$7$Fd[lFh`nFg`nFd\\lFb bm-F(6%7$7$Fb`nFd[lFa`nFd\\lFbbmF`cmFfcm78F'-F(6%7$F_\\l7$$\"3++++++qy :F4F`\\lFd\\lFh[l-F(6%7$F^\\o7$F_\\o$\"37+++++H#\\#F4Fd\\lFh[l-F(6%7$F _\\lFd\\oFd\\lFh[l-F(6$7SF_\\l7$Fg]l$\"3Ym@\"RTK[A\"F47$F\\^l$\"3heZ3& *yX?9F47$Fa^l$\"3&or$\\3#f/k\"F47$Ff^l$\"3#o,;M$)=>'=F47$F[_l$\"3?e')R **eK#3#F47$F`_l$\"3w\"*Gjj9n'G#F47$Fe_l$\"3CD/Cf%f#)\\#F47$Fj_l$\"3$= \\xp1%3dLF47$F^al$\"3-+(HuBq'zNF47$Fcal$\"3&**\\v#4\"fI!QF47$Fhal$\"33+.D!oN $=SF47$F]bl$\"3Q\"\\f0VFQ@%F47$Fbbl$\"3yKS/IgGYWF47$Fgbl$\"3(H8_a&*3Kk %F47$F\\cl$\"3AC]+KrFs[F47$Facl$\"3cKJO#GT]2&F47$Ffcl$\"3%\\-&p\"p0vH& F47$F[dl$\"3,u!HwTW$4bF47$F`dl$\"3O#e*z/fPIdF47$Fedl$\"3yd[e3=NLfF47$F jdl$\"35;%4>u)G_hF47$F_el$\"3%3\\HXo-(zjF47$Fdel$\"3!Qd/,>nwd'F47$Fiel $\"33;0azUZ\"z'F47$F^fl$\"3'*)fmR#zN7qF47$Fcfl$\"3W\\C-x%\\%GsF47$Fhfl $\"3vCY#e;HvV(F47$F]gl$\"3_\\$GJ^w'pwF47$Fbgl$\"3qJ6&)H7FyyF47$Fggl$\" 3#**\\.Oh!*45)F47$F\\hl$\"3o!H#*yZ2GI)F47$Fahl$\"3a*HzthYM_)F47$Ffhl$ \"3%oNEG&30J()F47$F[il$\"3/C*4t4d![*)F47$F`il$\"3KKGUm.Ag\"*F47$Feil$ \"3]Cc\"pkNBQ*F47$Fjil$\"3sku0h!fif*F47$F_jl$\"3S:3m\\m-:)*F47$Fdjl$\" 3t:x@t#)>.5Fjz7$Fijl$\"3))fA)RGMJ-\"Fjz7$F^[m$\"3;)3'4-K)f/\"Fjz7$Fc[m $\"3[E5%oa>k1\"Fjz7$Fh[m$\"3_-Dz_*3#)3\"Fjz7$F]\\m$\"3`k!46Fjz7$F b\\m$\"3(*********fZJ6FjzFd\\l-Fg\\m6'7$$\"'N*G\"F\\]mF]]mQ$.58Fa]mFb] mFd\\lFc]m-Fg\\m6'7$$\"'qG;F\\]m$\"'9Y#F4Fd\\lFh[l-F(6%7$F _\\lFahoFd\\lFh[l-F(6$7SF`em7$Fg]l$\"3L+qg:[U;7F47$F\\^l$\"3K]%\\/*[t/ 9F47$Fa^l$\"3U+dMk#4lh\"F47$Ff^l$\"3R+*fiT(oH=F47$F[_l$\"3o\\+jpB&=/#F 47$F`_l$\"3**\\'3/Wc&QAF47$Fe_l$\"3**\\a:7@BUCF47$Fj_l$\"3#*\\qB$ytGl# F47$F_`l$\"3u\\!3Q#*RG'GF47$Fd`l$\"3++Y]2f\")yIF47$Fi`l$\"3;+F]rw/pKF4 7$F^al$\"3G+Q\\\"e.K[$F47$Fcal$\"3W+qAO)Q#)p$F47$Fhal$\"3p+iA\\^Y0RF47 $F]bl$\"3))\\]1%\\YO4%F47$Fbbl$\"3Q*znVJ7uJ%F47$Fgbl$\"3\")*>vbJrp]%F4 7$F\\cl$\"3]\\Qm(\\tus%F47$Facl$\"3y)>p9HbE#\\F47$Ffcl$\"3@]Q#Rl+o8&F4 7$F[dl$\"3`\\v%*zwrS`F47$F`dl$\"3#)*\\-Vq$[`bF47$Fedl$\"3Q][-L$p)[dF47 $Fjdl$\"3M+NGH\">'ffF47$F_el$\"3g\\]WP*G&yhF47$Fdel$\"31]X(*o04pjF47$F iel$\"3Q+Hj^B!\\d'F47$F^fl$\"3i+k\"=1Evy'F47$Fcfl$\"3]*Hx1)o`&*pF47$Fh fl$\"31]AkV!)z'>(F47$F]gl$\"3/+f-^UE?uF47$Fbgl$\"3I+7Ux&e5i(F47$Fggl$ \"3*)***Q&z$\\a$yF47$F\\hl$\"3D\\i*4J>(H!)F47$Fahl$\"3E+A\\fw5U#)F47$F fhl$\"3B\\ehV&[>W)F47$F[il$\"3s\\%e!\\)R3l)F47$F`il$\"3!3+$)>Gp]&))F47 $Feil$\"3=\\iDr&y)o!*F47$Fjil$\"35*>j'GB![F*F47$F_jl$\"3[*4RG6*Q&[*F47 $Fdjl$\"3U\\!>@8KUp*F47$Fijl$\"3')*RSsF4Fd\\lFh[l-F(6%7$F_ \\lF^dpFd\\lFh[l-F(6$7S7$F`\\l$\"2y***************F47$Fg]l$\"3(**\\&[m uT47F47$F\\^l$\"3-DaK%[I;R\"F47$Fa^l$\"3')\\5&*z![lf\"F47$Ff^l$\"3')\\ tT-S#G!=F47$F[_l$\"3\\C8VJ&>\"3?F47$F`_l$\"3WCU[mZX)>#F47$Fe_l$\"3WCWt xe`&R#F47$Fj_l$\"3iCo\"\\Wd$*f#F47$F_`l$\"3,D$[PNDD!GF47$Fd`l$\"3K+>\\ ?&3:,$F47$Fi`l$\"3E]:^25e&>$F47$F^al$\"3w*pX/..GS$F47$Fcal$\"3(**\\:p# f(3h$F47$Fhal$\"35+Vj+ 5UF47$Fgbl$\"3K*z#=mMU$R%F47$F\\cl$\"3mBq=$G'y1YF47$Facl$\"3!*)zt\"H&[ cz%F47$Ffcl$\"3!\\-xgMgG+&F47$F[dl$\"3eu]4(*\\<+_F47$F`dl$\"3m\\iwN@01 aF47$Fedl$\"3)[_`ph6^f&F47$Fjdl$\"3S\\FY3y.*z&F47$F_el$\"3LC)G!4)f3,'F 47$Fdel$\"3]u0@$[^_>'F47$Fiel$\"3u[=!Ha*R%R'F47$F^fl$\"3-+Y@v*Q,g'F47$ Fcfl$\"3!zWe7([T,oF47$Fhfl$\"3#Ri%4]'fh*pF47$F]gl$\"3\\\\j\"R_!R7sF47$ Fbgl$\"3#))z,8e$o1uF47$Fggl$\"3++N3\"*G89wF47$F\\hl$\"3ZCcx)z7@!yF47$F ahl$\"3++L))*[Cw+)F47$Ffhl$\"33B]Jv\\*4?)F47$F[il$\"3wCRw\\G7.%)F47$F` il$\"3%))\\\\EzR2g)F47$Feil$\"3#QilwTEw!))F47$Fjil$\"3*))z9m#G)o+*F47$ F_jl$\"3u[h+%G^1@*F47$Fdjl$\"3(Q#)*oNCt7%*F47$Fijl$\"3e*f]n-C%)f*F47$F ^[m$\"3k[:RXvC6)*F47$Fc[m$\"3tf^vV*f,+\"Fjz7$Fh[m$\"3`-2nDaX?5Fjz7$F] \\m$\"3Sy\"F4Fd\\lFh[l-F(6%7$F_\\lF^`qFd\\lFh[l-F(6$7SFgdp7$Fg]l$\"3Tm 6%HdxN?\"F47$F\\^l$\"3W3RjI$42Q\"F47$Fa^l$\"3C;;zF47$F`_l$\"3'3Wk+@M];#F47$Fe_l$\"3Uu:(R W>mN#F47$Fj_l$\"3OTQ%p;dZb#F47$F_`l$\"3)[nD(f%fAv#F47$Fd`l$\"3AL%pR%[T bHF47$Fi`l$\"3s;6*p@aV8$F47$F^al$\"3^*HQ$pvzNLF47$Fcal$\"3v*\\Wu1o!QNF 47$Fhal$\"3Y+<=sJ*Ht$F47$F]bl$\"3@T=WTQ+5RF47$Fbbl$\"3OK1.[m[?TF47$Fgb l$\"3]KlG%>$z)H%F47$F\\cl$\"3,u4B'41i]%F47$Facl$\"3/Kb@f;!)*o%F47$Ffcl $\"3ou49!4N7*[F47$F[dl$\"3#Q#*Q7NZI3&F47$F`dl$\"3i#3nKK$=$G&F47$Fedl$ \"3w2yF@1(pY&F47$Fjdl$\"3#e\"R)405_m&F47$F_el$\"3?S=F/^7reF47$Fdel$\"3 uBM[jZP]gF47$Fiel$\"3M:o81$pRC'F47$F^fl$\"3>*RP>TrRW'F47$Fcfl$\"3p[bI` WjRmF47$Fhfl$\"3Bt`j1&[*GoF47$F]gl$\"3C[cp&[\\\"RqF47$Fbgl$\"3uKvW9W-G sF47$Fggl$\"3+*\\Oar)oHuF47$F\\hl$\"3-S5MXlU7wF47$Fahl$\"3M*p73E2A\"yF 47$Ffhl$\"3R0jzW`=+!)F47$F[il$\"3Yt?)fgwm>)F47$F`il$\"3gIQ7HFy)Q)F47$F eil$\"3'HP%eO+!**e)F47$Fjil$\"3)\\'y-2**f$y)F47$F_jl$\"3-9&[7+'o\")*)F 47$Fdjl$\"3#p](fU=8y\"*F47$Fijl$\"3u)R@(o^ke$*F47$F^[m$\"3C\"yx8\"Q`l& *F47$Fc[m$\"3Cjqqzud](*F47$Fh[m$\"3/t46DE(y%**F47$F]\\m$\"3K#eb`#4n85F jz7$Fb\\m$\"3$*********R'R.\"FjzFd\\l-Fg\\m6'7$$\"'Xn6F\\]mF]]mQ$.33Fa ]mFb]mFd\\lFc]m-Fg\\m6'7$$\"'!\\Q\"F\\]m$\"')4R\"F\\]mQ2f(x~+~.33)~-~f (x)Fa]mFb^mFd\\lFc]mFg^mF__m-Fg\\m6(Fg_mFdjqFb]mFb^mFd\\lFc]mFj_mF``mF g`m-Fg\\m6'FdamF\\jqF^_mFd\\lFc]mFhamFc^mF^bmFdbm-F(6%7$7$Fd[lF_`qF^`q Fd\\lFbbm-F(6%7$7$Fi_qFd[lFh_qFd\\lFbbmF`cmFfcm78F'-F(6%7$F_\\l7$$\"3+ +++++3z7F4F`\\lFd\\lFh[l-F(6%7$Fe[r7$Ff[r$\"3,+++++0O;F4Fd\\lFh[l-F(6% 7$F_\\lF[\\rFd\\lFh[l-F(6$7SF`em7$Fg]l$\"3C+]Cw:r)>\"F47$F\\^l$\"3e]2B c%4;P\"F47$Fa^l$\"39+&*4070m:F47$Ff^l$\"3k+l4S=yhF47$F`_l$\"3W]F!G2(=P@F47$Fe_l$\"3f]2%f&H>CBF47$Fj_l$\"3**\\nz2ZfUF47$F\\cl$\"3 (*\\Zt%G*RAWF47$Facl$\"3O**>Upkg,YF47$Ffcl$\"3o]Z$Q:D#)z%F47$F[dl$\"3% )\\UmPEX&)\\F47$F`dl$\"3Y+vev[!3=&F47$Fedl$\"3#3vpB@*>g`F47$Fjdl$\"3i+ D#*R-q`bF47$F_el$\"3I]n2DMpadF47$Fdel$\"3e]#4Oee'HfF47$Fiel$\"3^+::[di =hF47$F^fl$\"39+Sd>t%QJ'F47$Fcfl$\"3d*\\02aL[]'F47$Fhfl$\"3s\\(y*HDi*o 'F47$F]gl$\"3y+l!p>*z%*oF47$Fbgl$\"3y+?ud&f\"zqF47$Fggl$\"3'4+lQf.gF(F 47$F\\hl$\"3!)\\(otatVX(F47$Fahl$\"3A+qA?!z$\\wF47$Ffhl$\"3N\\Z0tR'G$y F47$F[il$\"3;]da<'eY-)F47$F`il$\"3q+]SRH<7#)F47$Feil$\"30](ok0$[3%)F47 $Fjil$\"3k**>@JIb(f)F47$F_jl$\"3S*\\o$)Q/4z)F47$Fdjl$\"3E^nm)paE)*)F47 $Fijl$\"3#)**RT>L&)e\"*F47$F^[m$\"3w*\\%zAozg$*F47$Fc[m$\"3)***Rg*\\<9 a*F47$Fh[m$\"3)=vMN\"o*Rt*F47$F]\\m$\"3b^K`*y>$=**F47$Fb\\m$\"30+++++k 65FjzFd\\l-Fg\\m6'7$$\"'3H:F\\]mF]]mQ$.28Fa]mFb]mFd\\lFc]m-Fg\\m6'7$$ \"'3H8F\\]m$\"'-=8F\\]mQ2f(x~+~.28)~-~f(x)Fa]mFb^mFd\\lFc]mFg^mF__m-Fg \\m6(Fg_mFafrFb]mFb^mFd\\lFc]mFj_mF``mFg`m-Fg\\m6'FdamFierF^_mFd\\lFc] mFhamFc^mF^bmFdbm-F(6%7$7$Fd[lF\\\\rF[\\rFd\\lFbbm-F(6%7$7$Ff[rFd[lFe[ rFd\\lFbbmF`cmFfcm78F'-F(6%7$F_\\l7$$\"3&**********pDB\"F4F`\\lFd\\lFh [l-F(6%7$Fbgr7$Fcgr$\"33+++++B>:F4Fd\\lFh[l-F(6%7$F_\\lFhgrFd\\lFh[l-F (6$7SF_\\l7$Fg]l$\"3imwzhbl%>\"F47$F\\^l$\"3!Q=+`KCSO\"F47$Fa^l$\"3ymZ e8s\\a:F47$Ff^l$\"3%pO8)zEBYF47$F`_l$\"3u;r%QI vR6#F47$Fe_l$\"31][1/T;(H#F47$Fj_l$\"3Q;VIB#=m[#F47$F_`l$\"3')\\1ygZYv EF47$Fd`l$\"3)Q8lnj;(pGF47$Fi`l$\"3`md'[z83/$F47$F^al$\"32+ajq'GMB$F47 $Fcal$\"3:+5fTW$oU$F47$Fhal$\"3i+Y7Rn@8OF47$F]bl$\"3Y;$G5spCy$F47$Fbbl $\"3)Gt5q)ys$)RF47$Fgbl$\"3%R$\\n_*>U:%F47$F\\cl$\"3)*\\?'fvUDN%F47$Fa cl$\"3+LpPT?4GXF47$Ffcl$\"3\\\\?aIup?ZF47$F[dl$\"3J]TB3L5/\\F47$F`dl$ \"3OLe1,\"oa4&F47$Fedl$\"3y$Q3&=2?r_F47$Fjdl$\"3ul@2(3_2Y&F47$F_el$\"3 /;$oloUwl&F47$Fdel$\"3h\\^AKl.HeF47$Fiel$\"3VmB-\"eYT,'F47$F^fl$\"3D*> hWP$Q0iF47$Fcfl$\"3M)*3un7Z#R'F47$Fhfl$\"3=]#pVU)[tlF47$F]gl$\"3A)pCU6 xWx'F47$Fbgl$\"3/KHR\"Ru]&pF47$Fggl$\"3?+q[K0!z9(F47$F\\hl$\"3O;z\"fnH EK(F47$Fahl$\"3E+Eq\"yaO^(F47$Ffhl$\"3%GQ6$>XR$p(F47$F[il$\"3')\\QwMVF \")yF47$F`il$\"3%>Lsc>h\\1)F47$Feil$\"3U[7$eJksD)F47$Fjil$\"3!\\E7j2vC W)F47$F_jl$\"3'e'p[H)z=j)F47$Fdjl$\"3]$)pn:ir>))F47$Fijl$\"3_*>`mM=B** )F47$F^[m$\"3)=V#*o')R,>*F47$Fc[m$\"3ek=%GztqO*F47$Fh[m$\"3i\\?ShAsb&* F47$F]\\m$\"31]j\"o\"HGO(*F47$Fb\\m$\"3.+++++KI**F4Fd\\l-Fg\\m6'7$$\"' d#[\"F\\]mF]]mQ$.23Fa]mFb]mFd\\lFc]m-Fg\\m6'7$$\"'d#G\"F\\]m$\"'if7F\\ ]mQ2f(x~+~.23)~-~f(x)Fa]mFb^mFd\\lFc]mFg^mF__m-Fg\\m6(Fg_mF^bsFb]mFb^m Fd\\lFc]mFj_mF``mFg`m-Fg\\m6'FdamFfasF^_mFd\\lFc]mFhamFc^mF^bmFdbm-F(6 %7$7$Fd[lFigrFhgrFd\\lFbbm-F(6%7$7$FcgrFd[lFbgrFd\\lFbbmF`cmFfcm78F'-F (6%7$F_\\l7$$\"3-+++++\"Q>\"F4F`\\lFd\\lFh[l-F(6%7$F_cs7$F`cs$\"3*)*** ******z^U\"F4Fd\\lFh[l-F(6%7$F_\\lFecsFd\\lFh[l-F(6$7SF_\\l7$Fg]l$\"3M LLC(Qu7>\"F47$F\\^l$\"3)p;X)37qd8F47$Fa^l$\"3DLVxvb'[a\"F47$Ff^l$\"3aL .i*eqKt\"F47$F[_l$\"3EmJKZ,y?>F47$F`_l$\"3/Ly?5bi%4#F47$Fe_l$\"33+&eRJ KYF#F47$Fj_l$\"3?L)**yg&zgCF47$F_`l$\"3y*\\'zt=OYEF47$Fd`l$\"3'pmkseRs $GF47$Fi`l$\"3#HL%=\"yk`+$F47$F^al$\"3++S>HRj%>$F47$Fcal$\"3y***4XB!o% Q$F47$Fhal$\"37+gSk]#yc$F47$F]bl$\"3*H$)Rb6QTt$F47$Fbbl$\"3Pm1[>/!>$RF 47$Fgbl$\"3GmEWJ5V*4%F47$F\\cl$\"3m)\\]+'*3VH%F47$Facl$\"37lEmZ*3oY%F4 7$Ffcl$\"3c*\\]Qxogl%F47$F[dl$\"3=+:V%)))GO[F47$F`dl$\"3wm;\\j'HV-&F47 $Fedl$\"3slrk)z4q>&F47$Fjdl$\"3)GL)o_'oKQ&F47$F_el$\"3qK)R\\DRnd&F47$F del$\"3K*\\TH)f:XdF47$Fiel$\"3NK.6j10FfF47$F^fl$\"35**>8mc'\\6'F47$Fcf l$\"3O)**[b$Q!))H'F47$Fhfl$\"3]*\\UsrwmZ'F47$F]gl$\"3q)*p'eAuTn'F47$Fb gl$\"3slEU@Xj^oF47$Fggl$\"3^++2l76TqF47$F\\hl$\"3ALefc`!G@(F47$Fahl$\" 33+g)*[B^+uF47$Ffhl$\"3MlrZ++8xvF47$F[il$\"3w*\\[jLY8$)F47$F_jl$\"3#= L;\\y8$*\\)F47$Fdjl$\"3ImJ*eW()Qo)F47$Fijl$\"3)4+_7Z\"\\`))F47$F^[m$\" 3Elw6Co(y/*F47$Fc[m$\"3,L`+,ut@#*F47$Fh[m$\"3%)*\\]%Q!4rS*F47$F]\\m$\" 37,NP[L`%e*F47$Fb\\m$\"3!***********>v(*F4Fd\\l-Fg\\m6'7$$\"'\"QW\"F\\ ]mF]]mQ$.19Fa]mFb]mFd\\lFc]m-Fg\\m6'7$$\"'\"QC\"F\\]m$\"'f77F\\]mQ2f(x ~+~.19)~-~f(x)Fa]mFb^mFd\\lFc]mFg^mF__m-Fg\\m6(Fg_mF[^tFb]mFb^mFd\\lFc ]mFj_mF``mFg`m-Fg\\m6'FdamFc]tF^_mFd\\lFc]mFhamFc^mF^bmFdbm-F(6%7$7$Fd [lFfcsFecsFd\\lFbbm-F(6%7$7$F`csFd[lF_csFd\\lFbbmF`cmFfcm78F'-F(6%7$F_ \\l7$$\"3/+++++^h6F4F`\\lFd\\lFh[l-F(6%7$F\\_t7$F]_t$\"3/+++++6\\8F4Fd \\lFh[l-F(6%7$F_\\lFb_tFd\\lFh[l-F(6$7SF_\\l7$Fg]l$\"3wm'pCoh%)=\"F47$ F\\^l$\"3Q$Q(o%=TCN\"F47$Fa^l$\"3sm>,&G`o`\"F47$Ff^l$\"3#owV%)y([AF47$F`_l$\"3q;vvc*G&y?F47$Fe_l$\"3;]!Gku))eD#F47$Fj _l$\"3\\;6i%\\9$RCF47$F_`l$\"3!*\\M6%*>:AEF47$Fd`l$\"3hLn#f$GA5GF47$Fi `l$\"3+n\\wNd(e(HF47$F^al$\"35+-?m;OiJF47$Fcal$\"3')**HyDLh\\LF47$Fhal $\"3y+)zm*\\1INF47$F]bl$\"3s;JV,C$Rp$F47$Fbbl$\"3SK&z_f'y))QF47$Fgbl$ \"3)Q8Mll`Q0%F47$F\\cl$\"3g[;,!*e'eC%F47$Facl$\"3?L,'=DHeT%F47$Ffcl$\" 3g\\;b(*fI-YF47$F[dl$\"3+]*et&f()zZF47$F`dl$\"3_Ke5#e^^'\\F47$Fedl$\"3 `#)RTUCHN^F47$Fjdl$\"3Gn\")[XB\")=`F47$F_el$\"3@:JXZzV4bF47$Fdel$\"3i \\>M%4y`n&F47$Fiel$\"3gm21**zfaeF47$F^fl$\"3_*f:tp\\(RgF47$Fcfl$\"3d*p @@^%)3A'F47$Fhfl$\"3%)\\_Af<9'R'F47$F]gl$\"3%)*4\"f^]t!f'F47$Fbgl$\"3Y K\"o'zdelnF47$Fggl$\"31+5.`iF_pF47$F\\hl$\"33:zbpbW@rF47$Fahl$\"3!*)z$ *fJ#R1tF47$Ffhl$\"3_#)H:\"z7/[(F47$F[il$\"3U[]THVJiwF47$F`il$\"3KL.kJj :SyF47$Feil$\"3z[7VE/ME!)F47$Fjil$\"3#eY>#Qyl0#)F47$F_jl$\"3Uk0;\"zN!* Q)F47$Fdjl$\"3W#yl?G&*3d)F47$Fijl$\"3u*f6qE0!Q()F47$F^[m$\"3JJ;6o@`H*) F47$Fc[m$\"3lkUm6h$35*F47$Fh[m$\"31];tW=[$G*F47$F]\\m$\"3A]vM;rHe%*F47 $Fb\\m$\"33+++++;Y'*F4Fd\\l-Fg\\m6'7$$\"'^69F\\]mF]]mQ$.16Fa]mFb]mFd\\ lFc]m-Fg\\m6'7$$\"'^67F\\]m$\"'cu6F\\]mQ2f(x~+~.16)~-~f(x)Fa]mFb^mFd\\ lFc]mFg^mF__m-Fg\\m6(Fg_mFhitFb]mFb^mFd\\lFc]mFj_mF``mFg`m-Fg\\m6'Fdam F`itF^_mFd\\lFc]mFhamFc^mF^bmFdbm-F(6%7$7$Fd[lFc_tFb_tFd\\lFbbm-F(6%7$ 7$F]_tFd[lF\\_tFd\\lFbbmF`cmFfcm78F'-F(6%7$F_\\l7$$\"3************eM6F 4F`\\lFd\\lFh[l-F(6%7$Fijt7$Fjjt$\"3/+++++H(G\"F4Fd\\lFh[l-F(6%7$F_\\l F_[uFd\\lFh[l-F(6$7SF_\\l7$Fg]l$\"3))**>fL$4h=\"F47$F\\^l$\"39+#H'p?/[ 8F47$Fa^l$\"37+#>tO_,`\"F47$Ff^l$\"3P+WF5)pMr\"F47$F[_l$\"3g*zAu(f\"f* =F47$F`_l$\"3#**R/\"Hp1l?F47$Fe_l$\"3;+_'>%H@SAF47$Fj_l$\"3%**z9!*>\\8 U#F47$F_`l$\"3x*z!z\\X!>g#F47$Fd`l$\"31+w8@zi(y#F47$Fi`l$\"37+7rnJ@^HF 47$F^al$\"3U*z#H59PNJF47$Fcal$\"3q**>JCeG?LF47$Fhal$\"3I+s-E^[)\\$F47$ F]bl$\"3u*z#yjrIgOF47$Fbbl$\"3#)*zO%=#HF&QF47$Fgbl$\"3h+7xQft:SF47$F\\ cl$\"3[*fbf]^`?%F47$Facl$\"3S*>N?T$>tVF47$Ffcl$\"3g+c^%eUtb%F47$F[dl$ \"3s*z-U9'pKZF47$F`dl$\"3M***Rz=fc\"\\F47$Fedl$\"3O*frpPwO3&F47$Fjdl$ \"3_**fn8c!\\E&F47$F_el$\"3[*ziq&=:`aF47$Fdel$\"35+[Jl2-Q_4_'F47$Fbgl$\"3O*>Z4l?Op'F47$Fggl$\"3q**RQ $)3)z(oF47$F\\hl$\"3'*****Gb'Q]/(F47$Fahl$\"34+KsDpnFsF47$Ffhl$\"3S)fn [ID&*R(F47$F[il$\"3m)>LpPc\"zvF47$F`il$\"3?**zW$eyZv(F47$Feil$\"3%))** \\yvQ'QzF47$Fjil$\"3F)>*4ezr:\")F47$F_jl$\"3S)fpk,2oH)F47$Fdjl$\"3#**z 1gc'Rw%)F47$Fijl$\"38+Ce52UT')F47$F^[m$\"33*>JK+d0$))F47$Fc[m$\"3?*R'3 eFs***)F47$Fh[m$\"3/+c.O()3!=*F47$F]\\m$\"3M*>86*>s_$*F47$Fb\\m$\"30++ +++CQ&*F4Fd\\l-Fg\\m6'7$$\"'f%Q\"F\\]mF]]mQ$.13Fa]mFb]mFd\\lFc]m-Fg\\m 6'7$$\"'f%=\"F\\]m$\"'kV6F\\]mQ2f(x~+~.13)~-~f(x)Fa]mFb^mFd\\lFc]mFg^m F__m-Fg\\m6(Fg_mFeeuFb]mFb^mFd\\lFc]mFj_mF``mFg`m-Fg\\m6'FdamF]euF^_mF d\\lFc]mFhamFc^mF^bmFdbm-F(6%7$7$Fd[lF`[uF_[uFd\\lFbbm-F(6%7$7$FjjtFd[ lFijtFd\\lFbbmF`cmFfcm78F'-F(6%7$F_\\l7$$\"3/+++++;76F4F`\\lFd\\lFh[l- F(6%7$Fffu7$Fgfu$\"36+++++!pB\"F4Fd\\lFh[l-F(6%7$F_\\lF\\guFd\\lFh[l-F (6$7SFgdp7$Fg]l$\"3gm'y&3j:%=\"F47$F\\^l$\"3QLX*zs*QW8F47$Fa^l$\"3XmyT m*)eC:F47$Ff^l$\"3cm]O#o#)fq\"F47$F[_l$\"3sKTklU^')=F47$F`_l$\"3Qm]*H: !*Q0#F47$Fe_l$\"3t*>d&*=)>FAF47$Fj_l$\"3yl%*))3OV1CF47$F_`l$\"3C*zez@% 4&e#F47$Fd`l$\"3yKpc9'o)oFF47$Fi`l$\"3Tm)HJ?P2$HF47$F^al$\"3H*z!Q&*G'H 6$F47$Fcal$\"3E**>$Q#o$fH$F47$Fhal$\"37+#R\"3hEsMF47$F]bl$\"3,?XF47$F[dl$\"3%*)z!*yNDNp% F47$F`dl$\"3;KLn$RoX([F47$Fedl$\"3tK4/;C#3/&F47$Fjdl$\"3ulEIR)\\,A&F47 $F_el$\"3*[Y(Qj'F47$Fggl$\"3c)*R-_vH;oF47$F\\hl$\" 3akmNDAg\")pF47$Fahl$\"3e*>&*f*QKirF47$Ffhl$\"3?Kp4/*oBL(F47$F[il$\"37 *>0Q$\\65vF47$F`il$\"3UJ8'o;%*Qo(F47$Feil$\"3!y**\\)=\\#e'yF47$Fjil$\" 3.ly*f&e/T!)F47$F_jl$\"3qkA&>dM-A)F47$Fdjl$\"3/L\"o[^RzR)F47$Fijl$\"3e *R'o,>Bh&)F47$F^[m$\"3uKl^/MQ[()F47$Fc[m$\"3xkqpRRx:*)F47$Fh[m$\"3)**f 6K;ZU4*F47$F]\\m$\"3=+_y5)o]E*F47$Fb\\m$\"3E*********R'[%*F4Fd\\l-Fg\\ m6'7$$\"';i8F\\]mF]]mQ$.11Fa]mFb]mFd\\lFc]m-Fg\\m6'7$$\"';i6F\\]m$\"'X =6F\\]mQ2f(x~+~.11)~-~f(x)Fa]mFb^mFd\\lFc]mFg^mF__m-Fg\\m6(Fg_mFbavFb] mFb^mFd\\lFc]mFj_mF``mFg`m-Fg\\m6'FdamFj`vF^_mFd\\lFc]mFhamFc^mF^bmFdb m-F(6%7$7$Fd[lF]guF\\guFd\\lFbbm-F(6%7$7$FgfuFd[lFffuFd\\lFbbmF`cmFfcm 78F'-F(6%7$F_\\l7$$\"35+++++Y$4\"F4F`\\lFd\\lFh[l-F(6%7$Fcbv7$Fdbv$\"3 3+++++l&>\"F4Fd\\lFh[l-F(6%7$F_\\lFibvFd\\lFh[l-F(6$7SF_\\l7$Fg]l$\"3m mh,A:_#=\"F47$F\\^l$\"3le^QADLT8F47$Fa^l$\"3`;T#=5K*>:F47$Ff^l$\"3+<)3 _b:(*p\"F47$F[_l$\"3+eAAHXky=F47$F`_l$\"3q\"pNEfMX/#F47$Fe_l$\"3KDGdWT I;AF47$Fj_l$\"3Q\"404Y[RR#F47$F_`l$\"3'\\#>mpI-rDF47$Fd`l$\"3eLW+qg;`F F47$Fi`l$\"3P;'[Qs(f8HF47$F^al$\"39+L%zw0U4$F47$Fcal$\"3-+&>gSbbF$F47$ Fhal$\"3E+nd&Q>.X$F47$F]bl$\"30#4.<#=-4OF47$Fbbl$\"3#Gj&GoVt(z$F47$Fgb l$\"3KLlq[')fdRF47$F\\cl$\"39CAA6)eN9%F47$Facl$\"3IKbyk];3VF47$Ffcl$\" 3cCAj8Uw)[%F47$F[dl$\"3WuEJ6ttgYF47$F`dl$\"3(Hezv>t,%[F47$Fedl$\"3TdS* \\N^\\+&F47$Fjdl$\"33;9_eoo#=&F47$F_el$\"3Y\"4L]4/tO&F47$Fdel$\"3cu@8U R,GbF47$Fiel$\"3y;$*yz\\e,dF47$F^fl$\"3o*RFc%3!4)eF47$Fcfl$\"3i\\![pVE j0'F47$Fhfl$\"31Cmw;(fgA'F47$F]gl$\"3O\\JF&e>XT'F47$Fbgl$\"3'>`<#f\"fQ e'F47$Fggl$\"31*\\6#*HlYw'F47$F\\hl$\"3I\"HA^`-&GpF47$Fahl$\"3\"**pd!4 *>w5(F47$Ffhl$\"3#pb()*)RbhF(F47$F[il$\"3!QKesaBBX(F47$F`il$\"3GK))z7, cCwF47$Feil$\"3kCc'[$e([!yF47$Fjil$\"31myC18ayzF47$F_jl$\"3U9gzL$Rh:)F 47$Fdjl$\"3*pv3+wmAL)F47$Fijl$\"3++9\"Gd4T\\)F47$F^[m$\"3q#GN-q*fz')F4 7$Fc[m$\"3![1Z9G/b%))F47$Fh[m$\"3pCA5oJRA!*F47$F]\\m$\"3IuX9.%)p\">*F4 7$Fb\\m$\"3'**********ROP*F4Fd\\l-Fg\\m6'7$$\"'YV8F\\]mF]]mQ$.09Fa]mFb ]mFd\\lFc]m-Fg\\m6'7$$\"'YV6F\\]m$\"'#y4\"F\\]mQ2f(x~+~.09)~-~f(x)Fa]m Fb^mFd\\lFc]mFg^mF__m-Fg\\m6(Fg_mF_]wFb]mFb^mFd\\lFc]mFj_mF``mFg`m-Fg \\m6'FdamFg\\wF^_mFd\\lFc]mFhamFc^mF^bmFdbm-F(6%7$7$Fd[lFjbvFibvFd\\lF bbm-F(6%7$7$FdbvFd[lFcbvFd\\lFbbmF`cmFfcm78F'-F(6%7$F_\\l7$$\"3-+++++* y2\"F4F`\\lFd\\lFh[l-F(6%7$F`^w7$Fa^w$\"31+++++&=;\"F4Fd\\lFh[l-F(6%7$ F_\\lFf^wFd\\lFh[l-F(6$7SFgdp7$Fg]l$\"3Cm,BU=<\"=\"F47$F\\^l$\"3]eSV$ \\3)Q8F47$Fa^l$\"3@;bT%R(3;:F47$Ff^l$\"3k;'G]TTXp\"F47$F[_l$\"3)zNK[FZ @(=F47$F`_l$\"3A\"*H+U1\"o.#F47$Fe_l$\"3lCP.@+J2AF47$Fj_l$\"3#4>HFsSOQ #F47$F_`l$\"3EC!G'HfSfDF47$Fd`l$\"3?LO@\\??SFF47$Fi`l$\"3;;SvptW**GF47 $F^al$\"3a**3`$))>(yIF47$Fcal$\"3I*\\tu]G(eKF47$Fhal$\"3;+\"H9<+AV$F47 $F]bl$\"37\">$=h!H(*e$F47$Fbbl$\"3/K7iZh/xPF47$Fgbl$\"3QKpD!HGd$RF47$F \\cl$\"3BB**\\XLJ?TF47$Facl$\"3yJR7'R-PG%F47$Ffcl$\"3sC*H/3mHY%F47$F[d l$\"3%Qxd+]nOj%F47$F`dl$\"3)>e%oBlx6[F47$Fedl$\"3odP*p?O`(\\F47$Fjdl$ \"3m:%)e@uv^^F47$F_el$\"3_!>t7[4]L&F47$Fdel$\"37u7$z$4`%\\&F47$Fiel$\" 3+:^N\"[=om&F47$F^fl$\"34*>g?P3[%eF47$Fcfl$\"30[ESbn$*=gF47$Fhfl$\"3oB 6!)>\\T(='F47$F]gl$\"3g[\\i'>\"[ujF47$Fbgl$\"3dJ*fkcoDa'F47$Fggl$\"3n) \\*G6x.AnF47$F\\hl$\"3q!zk3VjY)oF47$Fahl$\"3e)4UuHcC1(F47$Ffhl$\"3#4yLpQ%)F47$F^[m$\"30#o!)R(=\"Gi)F47$Fc[m$\"3Ekef^'*[ (y)F47$Fh[m$\"3EB*R(402j*)F47$F]\\m$\"3]ukf%zB68*F47$Fb\\m$\"3L******* **>*GI?F47$Fe_l$\"3')\\*4a9;(*>#F47$Fj_l$\"31$)3CUx$\\P#F47$F_`l$\"3#) \\&)=,uf\\DF47$Fd`l$\"3lms\")GjDHFF47$Fi`l$\"3CLI15+]()GF47$F^al$\"3%* *zJ_\"\\klIF47$Fcal$\"3%***p\\+8_WKF47$Fhal$\"3u+#)oU=!pT$F47$F]bl$\"3 Y$))[$*))RMd$F47$Fbbl$\"3!fY7vwy&fPF47$Fgbl$\"3\\mQ>8GE[IE%F47$Ffcl$\"3-]BEBV=TWF47$F[dl$\"3[\\IsX ?\"3h%F47$F`dl$\"3!f;%**y2!yy%F47$Fedl$\"3;;+/'oJ.&\\F47$Fjdl$\"3YL=XE KkD^F47$F_el$\"31$))GlkUxI&F47$Fdel$\"3i\\+-F2EmaF47$Fiel$\"3EL_p'fkuj &F47$F^fl$\"3Q+/QY\\L9eF47$Fcfl$\"3k)H]s2ot)fF47$Fhfl$\"3'*[ZcGlyahF47 $F]gl$\"3j**[ouhnSjF47$Fbgl$\"3^m)*\\*G1x]'F47$Fggl$\"31***G*)eYgo'F47 $F\\hl$\"3A$3#z1%\\w%oF47$Fahl$\"3k*>9;(RKCqF47$Ffhl$\"3)e,T&o4c!>(F47 $F[il$\"31]HMHlKktF47$F`il$\"3Em'zk79U`(F47$Feil$\"34\\(=jpq?r(F47$Fji l$\"3!>`G=rnL)yF47$F_jl$\"3uKM;^Oae!)F47$Fdjl$\"31R)F47$F^[m$\"3%\\O;l/l[d)F47$Fc[m$\"3cK<::q]Q()F47$Fh[m$\"3$ *\\B)[[$)H\"*)F47$F]\\m$\"3/]/6H(z*z!*F47$Fb\\m$\"3o*********R%f#*F4Fd \\l-Fg\\m6'7$$\"'\"\\J\"F\\]mF]]mQ$.06Fa]mFb]mFd\\lFc]m-Fg\\m6'7$$\"' \"\\6\"F\\]m$\"'-n5F\\]mQ2f(x~+~.06)~-~f(x)Fa]mFb^mFd\\lFc]mFg^mF__m-F g\\m6(Fg_mFidxFb]mFb^mFd\\lFc]mFj_mF``mFg`m-Fg\\m6'FdamFadxF^_mFd\\lFc ]mFhamFc^mF^bmFdbm-F(6%7$7$Fd[lFdjwFcjwFd\\lFbbm-F(6%7$7$F^jwFd[lF]jwF d\\lFbbmF`cmFfcm78F'-F(6%7$F_\\l7$$\"3)***********3a5F4F`\\lFd\\lFh[l- F(6%7$Fjex7$F[fx$\"3/+++++666F4Fd\\lFh[l-F(6%7$F_\\lF`fxFd\\lFh[l-F(6$ 7SF_\\l7$Fg]l$\"3wm\")pS-5z6F47$F\\^l$\"3[ee[-W$\\L\"F47$Fa^l$\"3Z;Bg: i=5:F47$Ff^l$\"3y;i\\6(*f'o\"F47$F[_l$\"3%zbQ[uu@'=F47$F`_l$\"3b\"f:fF b\\-#F47$Fe_l$\"3'\\_Hs30N>#F47$Fj_l$\"3]\"R.Ka>yO#F47$F_`l$\"3%\\A10( \\dTDF47$Fd`l$\"3nLSu%y..s#F47$Fi`l$\"3#p\")3;AGx(GF47$F^al$\"3y*4U;&3 &\\0$F47$Fcal$\"3T+:#[<,HB$F47$Fhal$\"3\"4!zf%G*Q/MF47$F]bl$\"3#=RHr\" p6gNF47$Fbbl$\"3!HV3X8#HXPF47$Fgbl$\"3`L<5L)f@!RF47$F\\cl$\"3KCtdeUj%3 %F47$Facl$\"3AKZAW]:YUF47$Ffcl$\"3'[KZd%*oLU%F47$F[dl$\"35vRV([=@f%F47 $F`dl$\"3Q$e%>J4>oZF47$Fedl$\"3Ye^V)R!))H\\F47$Fjdl$\"3_;CMKVG/^F47$F_ el$\"3o!RRV+TaG&F47$Fdel$\"33va&)>%QJW&F47$Fiel$\"3m;Z()[fX8cF47$F^fl$ \"3u*zL>i5%*y&F47$Fcfl$\"3)*[y'=%zahfF47$Fhfl$\"3eC,/]'*4GhF47$F]gl$\" 3W\\lnDp-8jF47$Fbgl$\"3cK(3yI#>zkF47$Fggl$\"3#**\\D0K4ml'F47$F\\hl$\"3 P\"z*R.bP0a8$*pF47$Ffhl$\"3ycY\\v<^erF47$F[il$\"3CD I\\LxPJtF47$F`il$\"3MKoX/eQ+vF47$Feil$\"3!R7.>f@tn(F47$Fjil$\"3Mm5`%yJ x%yF47$F_jl$\"3L:EQ>3+A!)F47$Fdjl$\"3!y0R'=o#[>)F47$Fijl$\"3a,=%H'fj`$ )F47$F^[m$\"3B$[:R;\\c`)F47$Fc[m$\"3=m9mSRW)p)F47$Fh[m$\"3/Et8Fr,s))F4 7$F]\\m$\"31wU.9)[\"Q!*F47$Fb\\m$\"3@+++++o;#*F4Fd\\l-Fg\\m6'7$$\"'4/8 F\\]mF]]mQ$.05Fa]mFb]mFd\\lFc]m-Fg\\m6'7$$\"'4/6F\\]m$\"'cb5F\\]mQ2f(x ~+~.05)~-~f(x)Fa]mFb^mFd\\lFc]mFg^mF__m-Fg\\m6(Fg_mFf`yFb]mFb^mFd\\lFc ]mFj_mF``mFg`m-Fg\\m6'FdamF^`yF^_mFd\\lFc]mFhamFc^mF^bmFdbm-F(6%7$7$Fd [lFafxF`fxFd\\lFbbm-F(6%7$7$F[fxFd[lFjexFd\\lFbbmF`cmFfcm78F'-F(6%7$F_ \\l7$$\"3%**********p]/\"F4F`\\lFd\\lFh[l-F(6%7$Fgay7$Fhay$\"33+++++<# 4\"F4Fd\\lFh[l-F(6%7$F_\\lF]byFd\\lFh[l-F(6$7SF`em7$Fg]l$\"3A+!G'3UIy6 F47$F\\^l$\"3^+y;ZdWL8F47$Fa^l$\"3F+G+L'=z]\"F47$Ff^l$\"3k+'z$Q![No\"F 47$F[_l$\"3%**>]yqU$e=F47$F`_l$\"3C+YsT(*R??F47$Fe_l$\"31+=f8/?)=#F47$ Fj_l$\"3#**>y%3,uhBF47$F_`l$\"3y*>i$fKsMDF47$Fd`l$\"3$4SyBpdEr#F47$Fi` l$\"3#3!3$yV#QpGF47$F^al$\"3G+_0\"Q^4O!4LPF47$Fgbl$ \"3'**z?E%3E*)QF47$F\\cl$\"3C*Rl!RU#42%F47$Facl$\"31*z'fErsJUF47$Ffcl$ \"3#4S0,Q`\"3WF47$F[dl$\"3q*>?Y*G:wXF47$F`dl$\"33++rjFW^ZF47$Fedl$\"3o +%4Je8C\"\\F47$Fjdl$\"3k+SBeB/'3&F47$F_el$\"3m*>5\"eQRm_F47$Fdel$\"3P+ #G*o.RBaF47$Fiel$\"3o*fr;!4&Hf&F47$F^fl$\"3))*f0N_B\"odF47$Fcfl$\"3X*> *))ed\\RfF47$Fhfl$\"35+!>%3sI0hF47$F]gl$\"3!)*fVIb7%*G'F47$Fbgl$\"33+[ g$RR[X'F47$Fggl$\"30+gbbyYJmF47$F\\hl$\"3c+]B%\\>:z'F47$Fahl$\"39,))[5 #)\\mpF47$Ffhl$\"31*RtgaR68(F47$F[il$\"3q*z.5=PKI(F47$F`il$\"33+?tvS\\ ruF47$Feil$\"3++]F^MkZwF47$Fjil$\"3J*zsdB'Hb=F4 7$F`_l$\"35]3e!3IXJQIF47$Fcal$\"3h**H)f@C[@$F47$Fhal$\"3Q+)*z/S#\\Q$F47$F ]bl$\"3p\\k*)34RRNF47$Fbbl$\"3p*>E#)*p1BPF47$Fgbl$\"3w*z?(QZmyQF47$F\\ cl$\"3[\\;-,>mfSF47$Facl$\"3W*zY%e]()>UF47$Ffcl$\"3=];c%GacR%F47$F[dl$ \"3s\\*))fnPIc%F47$F`dl$\"3()*\\s_o%oPZF47$Fedl$\"3%)\\1pe^1)*[F47$Fjd l$\"3O*\\@f;d52&F47$F_el$\"3C\\k\"HCZ2D&F47$Fdel$\"3Z\\><$)z;2aF47$Fie l$\"3O*4Mzm1hd&F47$F^fl$\"3E*fb*foj]dF47$Fcfl$\"3L*p,Jg!Q@fF47$Fhfl$\" 35\\_2aRe'3'F47$F]gl$\"3Y*4J*3T,qiF47$Fbgl$\"3`*za9EM[V'F47$Fggl$\"3`* *4Va\\\"3h'F47$F\\hl$\"3o\\79='z-x'F47$Fahl$\"3%)*z8dh;Y%pF47$Ffhl$\"3 C['HS9a'3rF47$F[il$\"3')[]QE17!G(F47$F`il$\"3s**p5a/wZuF47$Feil$\"3h[7 ohj)F47$Fh[m$\"3v\\;uBuG3))F47$F]\\m$\"3O\\v\"Q:uI(*)F47$Fb\\m$\"3i*** ******f,:*F4Fd\\l-Fg\\m6'7$$\"'c(G\"F\\]mF]]mQ$.03Fa]mFb]mFd\\lFc]m-Fg \\m6'7$$\"'c(3\"F\\]m$\"'EQ5F\\]mQ2f(x~+~.03)~-~f(x)Fa]mFb^mFd\\lFc]mF g^mF__m-Fg\\m6(Fg_mF`hzFb]mFb^mFd\\lFc]mFj_mF``mFg`m-Fg\\m6'FdamFhgzF^ _mFd\\lFc]mFhamFc^mF^bmFdbm-F(6%7$7$Fd[lF[^zFj]zFd\\lFbbm-F(6%7$7$Fe]z Fd[lFd]zFd\\lFbbmF`cmFfcm78F'-F(6%7$F_\\l7$$\"36+++++IJ5F4F`\\lFd\\lFh [l-F(6%7$Faiz7$Fbiz$\"3)**********zN1\"F4Fd\\lFh[l-F(6%7$F_\\lFgizFd\\ lFh[l-F(6$7SF_\\l7$Fg]l$\"3km6#*3r5x6F47$F\\^l$\"3f3pSdq?J8F47$Fa^l$\" 3\\;'*Gm&3X]\"F47$Ff^l$\"3#oJn+$)e*y;F47$F[_l$\"3#z+$>i*zD&=F47$F`_l$ \"3`Tasw*[N,#F47$Fe_l$\"31vXenIA!=#F47$Fj_l$\"3[T3y]wf_BF47$F_`l$\"3# \\n-lU>W_#F47$Fd`l$\"3TLMTU#f6q#F47$Fi`l$\"3Y;\"p%o<$o&GF47$F^al$\"3x* Hq=;#3KIF47$Fcal$\"3I+XA]@03KF47$Fhal$\"3a+(\\/%=jxLF47$F]bl$\"3&>%))> XkiJNF47$Fbbl$\"33LE#\\#4u9PF47$Fgbl$\"3%G`9%3H')pQF47$F\\cl$\"3)[(*>A l1.0%F47$Facl$\"3ILN]S*H+@%F47$Ffcl$\"3+v*HDqr_Q%F47$F[dl$\"37Df/,L9_X F47$F`dl$\"3>$3<\"3jDEZF47$Fedl$\"3G3o!3SYh)[F47$Fjdl$\"3/;R/!=F )F47$F^[m$\"3G#yb;2)y^%)F47$Fc[m$\"3_mIKt6x7')F47$Fh[m$\"3Kv**HOFT%y)F 47$F]\\m$\"3wD)QIh&p[*)F47$Fb\\m$\"3!)*********R_7*F4Fd\\l-Fg\\m6'7$$ \"'I\"G\"F\\]mF]]mFhgzFb]mFd\\lFc]m-Fg\\m6'7$$\"'I\"3\"F\\]m$\"'zJ5F\\ ]mF`hzFb^mFd\\lFc]mFg^mF__mFahzFj_mF``mFg`mFchzFhamFc^mF^bmFdbm-F(6%7$ 7$Fd[lFhizFgizFd\\lFbbm-F(6%7$7$FbizFd[lFaizFd\\lFbbmF`cmFfcm71F'Fg^mF __mFc^m-Fg\\m6(7$F]`mFe`mQ&slopeFa]mFb^mF^_m-Fa[l6&Fc[lFe[lFd[lFd[lFc] m-Fg\\m6(Fb`mQ\"=Fa]mFb^mF^_mFid[lFc]mFc^m-Fg\\m6(7$$\"$0\"F^^mFe`mQ#2 .Fa]mFb^mF^_mFid[lFc]mFham-F(6$7S7$$!\"%F.$!\"*F.7$$!3ommmmFiDQF4$!3CM LLLbC^')F47$$!35LLLo!)*Qn$F4$!3?mmmOhzZ$)F47$$!3nmmmwxE.NF4$!3WKLL`b`1 !)F47$$!3YmmmOk]JLF4$!3#HLLL(G,jwF47$$!3_LLL[9cgJF4$!30nmm'*G7@tF47$$! 3smmmhN2-IF4$!3XLLLBr9/qF47$$!3!******\\`oz$GF4$!3!)******pq$fn'F47$$! 3!omm;)3DoEF4$!3fLLLj<]OjF47$$!3?+++:v2*\\#F4$!3Q+++I]:)*fF47$$!3BLLL8 >1DBF4$!3YmmmEQ7]cF47$$!3kmmmw))yr@F4$!3HLLL`xdV`F47$$!3;+++S(R#**>F4$ !3I+++![z%)*\\F47$$!30++++@)f#=F4$!35++++U'>l%F47$$!3-+++gi,f;F4$!3/++ +?D.=VF47$$!3qmmm\"G&R2:F4$!3SLLLj0z9SF47$$!3XLLLtK5F8F4$!3!pmmma1Ul$F 47$$!3eLLL$HsV<\"F4$!3=nmm'eW([LF47$$!3+-++]&)4n**Fjp$!3S+++5(>M*HF47$ $!37PLLL\\[%R)Fjp$!3Unmm')p*)yEF47$$!3G)*****\\&y!pmFjp$!3l******4d\"Q L#F47$$!3Y******\\O3E]Fjp$!3*)******Hn@0?F47$$!3NKLLL3z6LFjp$!3[mmmm\" eBm\"F47$$!3sLLL$)[`P(******z-6j'Fjp$\" 3Q%******f0AE$Fjp7$$\"3q\"******4#32$)Fjp$\"3S$)*****>kTh'Fjp7$$\"3r$* ****\\#y'G**Fjp$\"3U()*****\\ct&)*Fjp7$$\"3G******H%=H<\"F4$\"3e)***** fo$eM\"F47$$\"35mmm1>qM8F4$\"3?KLL8QSp;F47$$\"3%)*******HSu]\"F4$\"3p* ******f!)[,#F47$$\"3'HLL$ep'Rm\"F4$\"3%fmmm\"R$zK#F47$$\"3')******R>4N =F4$\"3s******zQ=qEF47$$\"3#emm;@2h*>F4$\"3mJLLBW@#*HF47$$\"3]*****\\c 9W;#F4$\"3.******H\"H)GLF47$$\"3Lmmmmd'*GBF4$\"3mKLLL:$zl$F47$$\"3j*** **\\iN7]#F4$\"3E******\\7Z-SF47$$\"3aLLLt>:nEF4$\"32nmmYRIMVF47$$\"35L LL.a#o$GF4$\"3?mmm13ltYF47$$\"3ammm^Q40IF4$\"33LLL.x=5]F47$$\"3y****** z]rfJF4$\"3d******f,V>`F47$$\"3gmmmc%GpL$F4$\"3?LLL8p&Qn&F47$$\"3/LLL8 -V&\\$F4$\"33mmmE/'3*fF47$$\"3=+++XhUkOF4$\"3Q+++!H_)GjF47$$\"3=+++:o< EQF4$\"3O+++ION_mF47$F^]lF[dmFid[lFc^mF^bmFdbmF`cm-Fgcm6$;Fhe[lF^]lFjc mFdd[lFdd[lFdd[l-%&TITLEG6$%5Slope~of~Secant~LineGFc]m-%*AXESTICKSG6$F c\\mF_]l-Fgcm6$;F,$\"#MF_]mFjcm" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Cur ve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 1 8" "Curve 19" "Curve 20" "Curve 21" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 31 "Create Seca nt Line Movie Frames" }}{PARA 0 "" 0 "" {TEXT 260 54 "Enter the defini ng expression for the function f, and " }{TEXT -1 1 "\n" }{TEXT 261 54 "the x_val at which you want to compute the slope of f." }{TEXT -1 1 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 93 "f:=x->x^2: \nx_val:= 1:\nfor j from 1 to 21 do\n#'f'(x)=f(x);\nSecantLineMovie(f(x),x_val,j ):\nod;\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6;-%' CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F07$$ !3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OL LL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLL L\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02 gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R *R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I @F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm' =Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q++ +S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^*** ***RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$ !3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U 6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oH f\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp $\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z**** *RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+ ++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))********* **f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\" \"-F$6%7$7$$Fg[lF*F\\\\l7$$\"\"#F*F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\ l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"\"%F*F`\\lFd[l-F$6%7$F[\\lFi\\l F`\\lFd[l-F$6$7SF[\\l7$$\"3mmmm;')=(3\"F0$\"3A+++]ech7F07$$\"3WLL$e'40 j6F0$\"3O++](*G:*[\"F07$$\"3ommm6hO[7F0$\"3y*****\\L)4X(>9F0$\"3G****\\Fy:fAF07$$\"3kmm;> K'*)\\\"F0$\"3q****\\d'*)o\\#F07$$\"3/++]Kd,\"e\"F0$\"3:++](>ZIu#F07$$ \"3gmm;fX(em\"F0$\"3-++]xOi(*HF07$$\"3!*****\\U7Y]F0$\"3[+++&o;Bu$F0 7$$\"3#*******H,Q+?F0$\"3x*******QS6+%F07$$\"3)*******\\*3q3#F0$\"3O++ +]o-hUF07$$\"3?+++q=\\q@F0$\"3k+++5cZ6XF07$$\"3mmm;fBIYAF0$\"3S++]xq!* QZF07$$\"30LLLj$[kL#F0$\"3<*******3X$4]F07$$\"3?LLL`Q\"GT#F0$\"30+++g: WQ_F07$$\"3o****\\s]k,DF0$\"3.****\\<_$\\]&F07$$\"3#HLLLvv-e#F0$\"3x)* ****fs#3u&F07$$\"33++]sgamEF0$\"3E++]<#Q'**fF07$$\"3!)****\\$QF0$\"3Y****\\P/&f\\*F07$$\"3$*******pfa`9VA\"Ffz7$$\"34++]sI@K[F0$\"3/++v@Rm\\7Ffz7 $$\"34++]2%)38\\F0$\"3/++DAl#RF\"Ffz7$$\"\"&F*$\"#8F*F`\\l-%%TEXTG6'7$ $\"'++:!\"&$\"\"$!\"\"Q#1.6\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG% (DEFAULTG\"#5-Fc\\m6'7$$\"$0#!\"#$\"'++DFh\\mQ1f(x~+~1.)~-~f(x)F]]m%+A LIGNRIGHTGF`\\lF_]m-Fc\\m6$7$F`[lF`[lQ!F]]m-Fc\\m6(7$$\"$:\"Fj]m$\"#oF []mFb^mF^^m%+ALIGNBELOWGF`\\lF_]m-Fc\\m6'7$$Fg[lF[]m$\"#lF[]mFb^mF^^mF `\\lF_]m-Fc\\m6(7$F^_m$\"#bF[]mF]^mF^]mF^^mF`\\lF_]m-Fc\\m6(7$$F_\\lF[ ]m$\"#`F[]mFb^mF^^mFj^mF`\\lF_]m-Fc\\m6(7$$\"\")F[]m$\"$N&Fj]mFb^mF^^m Fj^mF`\\lF_]m-F$6%7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!********** *****=F0Fi`mF`\\lFd[l-Fc\\m6'7$$Fd]mF[]m$\"#^F[]mF\\]mFj^mF`\\lF_]m-Fc \\m6&7$Faam$!#5F[]mQ&x~=~1F]]mF\\[lF_]mF_^m-F$6%7$7$F`[lF\\\\lF[\\lF\\ [l-Fe[l6#Fj\\m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lF^bm-F$6%7$7$F`[lFj\\lFi\\l F`\\lF^bm-F$6%7$7$F^\\lF`[lF]\\lF`\\lF^bm-%&TITLEG6$%5Slope~of~Secant~ LineGF_]m-%+AXESLABELSG6%%!GFccm-F`]m6#Fc]m-%*AXESTICKSG6$F[]lF[]l-%%V IEWG6$;F($\"#MF[]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Cur ve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 1 8" "Curve 19" "Curve 20" "Curve 21" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#) \\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh -EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GB F0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0 $\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33Eq M\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\" 3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$ \"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(F fp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFf p$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p' 3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\" 3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7 $$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8 O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\" 3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F 0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!****** ********R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*+++ +\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3!**********HL$ =F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$ F^\\l$\"3)***********4hLF0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7$ F\\\\l$\"3A+++++++5F07$$\"3mmmm;')=(3\"F0$\"3%p;gK7MqC\"F07$$\"3WLL$e' 40j6F0$\"3')eX-$>x>Y\"F07$$\"3ommm6hO[7F0$\"3*o^o^:.Pq\"F07$$\"3xmmm\" yYUL\"F0$\"3I<'**QVJq%>F07$$\"3CLL$eF>(>9F0$\"3sdoz:K?*=#F07$$\"3kmm;> K'*)\\\"F0$\"3c\"\\hxXFPT#F07$$\"3/++]Kd,\"e\"F0$\"3GDUO0$4ik#F07$$\"3 gmm;fX(em\"F0$\"3S\"pBZOUm)GF07$$\"3!*****\\U7Y]F0$\"3q;q.6F'**e$F07$$\" 3#*******H,Q+?F0$\"3q**GtLqSMQF07$$\"3)*******\\*3q3#F0$\"3)**\\.$o]&) zSF07$$\"3?+++q=\\q@F0$\"3-,r-I(*Q;VF07$$\"3mmm;fBIYAF0$\"3!=p(Hje=JXF 07$$\"30LLLj$[kL#F0$\"3MKKGT#*f'y%F07$$\"3?LLL`Q\"GT#F0$\"3NL\\1vy'H+& F07$$\"3o****\\s]k,DF0$\"31CkELgla_F07$$\"3#HLLLvv-e#F0$\"3!G$>>+FWxaF 07$$\"33++]sgamEF0$\"3KDkf$)\\(=s&F07$$\"3!)****\\'F07$$\"3JLL$eDBJ\"HF0$\"3If-X9&40U' F07$$\"3immmTc-)*HF0$\"3#pT.8*f1hmF07$$\"3Mmm;f`@'3$F0$\"3f\"p(ejl$4\" pF07$$\"3y****\\nZ)H;$F0$\"3.v2IJ'\\%GrF07$$\"3YmmmJy*eC$F0$\"3'p6'R.( pLO(F07$$\"3')******R^bJLF0$\"3B*>;[7lgg(F07$$\"3f*****\\5a`T$F0$\"3*) \\'>jC&\\VyF07$$\"3o****\\7RV'\\$F0$\"3#\\i.t4@K2)F07$$\"3k*****\\@fke $F0$\"3w[fj([#HG$)F07$$\"3/LLL`4NnOF0$\"3OLzgwa[d&)F07$$\"3#*******\\, s`PF0$\"3d*\\*f7z>-))F07$$\"3[mm;zM)>$QF0$\"32\"HF5vVR-*F07$$\"3$***** **pfa3Qwix22(37Ffz7$$\"\"&F*$\"30++++?LL7FfzF` \\l-%%TEXTG6'7$$\"'m;9!\"&$\"\"$!\"\"Q$.836\"%+ALIGNABOVEGF`\\l-%%FONT G6%%*HELVETICAG%(DEFAULTG\"#5-Ff\\m6'7$$\"'L$)=F[]m$\"'b!=#F[]mQ2f(x~+ ~.83)~-~f(x)F`]m%+ALIGNRIGHTGF`\\lFb]m-Ff\\m6(7$$\"$:\"!\"#$\"#oF^]mQ! F`]mF`^m%+ALIGNBELOWGF`\\lFb]m-Ff\\m6'7$$Fg[lF^]m$\"#lF^]mFi^mF`^mF`\\ lFb]m-Ff\\m6(7$F^_m$\"#bF^]mF_^mFa]mF`^mF`\\lFb]m-Ff\\m6(7$$\"\"#F^]m$ \"#`F^]mFi^mF`^mFj^mF`\\lFb]m-Ff\\m6(7$$\"\")F^]m$\"$N&Ff^mFi^mF`^mFj^ mF`\\lFb]m-F$6%7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!************* **=F0Fj`mF`\\lFd[l-Ff\\m6'7$$Fg]mF^]m$\"#^F^]mF_]mFj^mF`\\lFb]m-Ff\\m6 &7$Fbam$!#5F^]mQ&x~=~1F`]mF\\[lFb]m-Ff\\m6$7$F`[lF`[lFi^m-F$6%7$7$F`[l F\\\\lF[\\lF\\[l-Fe[l6#F]]m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lFbbm-F$6%7$7$F `[lFj\\lFi\\lF`\\lFbbm-F$6%7$7$F^\\lF`[lF]\\lF`\\lFbbm-%&TITLEG6$%5Slo pe~of~Secant~LineGFb]m-%+AXESLABELSG6%%!GFgcm-Fc]m6#Ff]m-%*AXESTICKSG6 $\"\"%F]dm-%%VIEWG6$;F($\"#MF^]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve \+ 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17 " "Curve 18" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#) \\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh -EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GB F0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0 $\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33Eq M\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\" 3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$ \"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(F fp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFf p$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p' 3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\" 3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7 $$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8 O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\" 3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F 0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!****** ********R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*+++ +\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3%**********RWp \"F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7 $F^\\l$\"3'**********H6(GF0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7 $F\\\\l$\"3A+++++++5F07$$\"3mmmm;')=(3\"F0$\"3]L8H'\\C\\B\"F07$$\"3WLL $e'40j6F0$\"3fe2#p;F07$$\"3xmmm \"yYUL\"F0$\"32MRR)*yg+>F07$$\"3CLL$eF>(>9F0$\"3'pOwbS348#F07$$\"3kmm; >K'*)\\\"F0$\"3UL9DckUWBF07$$\"3/++]Kd,\"e\"F0$\"3!)*Hx-.7bc#F07$$\"3g mm;fX(em\"F0$\"3#H.,s/fTz#F07$$\"3!*****\\U7Y]\"*35lD$F07$$\"3ommmhb59>F0$\"3ELrd*e-IY$F07$$\"3 #*******H,Q+?F0$\"3)**>xuBkap$F07$$\"3)*******\\*3q3#F0$\"3.+!Q_R!))GR F07$$\"3?+++q=\\q@F0$\"3i+G?9,#Q:%F07$$\"3mmm;fBIYAF0$\"3qLIjGp3eVF07$ $\"30LLLj$[kL#F0$\"3+m)*4G*z4g%F07$$\"3?LLL`Q\"GT#F0$\"3Uma(*e@u1[F07$ $\"3o****\\s]k,DF0$\"3K**o9\\D4Y]F07$$\"3#HLLLvv-e#F0$\"3gl9\"3?ezD&F0 7$$\"33++]sgamEF0$\"3'3!pe*R3/\\&F07$$\"3!)****\\\"R\"\\ExF07$$\"3k*****\\@fke$F0$\"31+YE n\"f!pzF07$$\"3/LLL`4NnOF0$\"3!eY*p-r,(=)F07$$\"3#*******\\,s`PF0$\"3f +g'4sL(>%)F07$$\"3[mm;zM)>$QF0$\"3#R$egl&41j)F07$$\"3$*******pfazq5-\"Ffz7$$\"3FLL$e#pa-XF0$\"3oOU)QDSP/\"Ffz7$$\"3!****** *Rv&)zXF0$\"37gx+N6dk5Ffz7$$\"3%GLL$GUYoYF0$\"3oY!RbnX%)3\"Ffz7$$\"33m mm1^rZZF0$\"3>$p+#\\$*z46Ffz7$$\"34++]sI@K[F0$\"38!p1\">ocK6Ffz7$$\"34 ++]2%)38\\F0$\"33I/(G>eV:\"Ffz7$$\"\"&F*$\"33++++gxx6FfzF`\\l-%%TEXTG6 '7$$\"'AZ8!\"&$\"\"$!\"\"Q$.696\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETI CAG%(DEFAULTG\"#5-Ff\\m6'7$$\"'WWF[]mQ2f(x~+~.69)~-~f(x)F` ]m%+ALIGNRIGHTGF`\\lFb]m-Ff\\m6(7$$\"$:\"!\"#$\"#oF^]mQ!F`]mF`^m%+ALIG NBELOWGF`\\lFb]m-Ff\\m6'7$$Fg[lF^]m$\"#lF^]mFi^mF`^mF`\\lFb]m-Ff\\m6(7 $F^_m$\"#bF^]mF_^mFa]mF`^mF`\\lFb]m-Ff\\m6(7$$\"\"#F^]m$\"#`F^]mFi^mF` ^mFj^mF`\\lFb]m-Ff\\m6(7$$\"\")F^]m$\"$N&Ff^mFi^mF`^mFj^mF`\\lFb]m-F$6 %7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!***************=F0Fj`mF`\\l Fd[l-Ff\\m6'7$$Fg]mF^]m$\"#^F^]mF_]mFj^mF`\\lFb]m-Ff\\m6&7$Fbam$!#5F^] mQ&x~=~1F`]mF\\[lFb]m-Ff\\m6$7$F`[lF`[lFi^m-F$6%7$7$F`[lF\\\\lF[\\lF\\ [l-Fe[l6#F]]m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lFbbm-F$6%7$7$F`[lFj\\lFi\\lF `\\lFbbm-F$6%7$7$F^\\lF`[lF]\\lF`\\lFbbm-%&TITLEG6$%5Slope~of~Secant~L ineGFb]m-%+AXESLABELSG6%%!GFgcm-Fc]m6#Ff]m-%*AXESTICKSG6$\"\"%F]dm-%%V IEWG6$;F($\"#MF^]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Cur ve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 1 8" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$ \"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3 ?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2 b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgT G>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjB F07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3` !e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q _u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33& )owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)z u#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$ \"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmm uX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%o mmmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$ $\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa 2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y \\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!************* *R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\") -%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3++++++qy:F0F\\\\l-F][ l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"37+++ ++H#\\#F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7SF[\\l7$$\"3mmmm;')= (3\"F0$\"3Ym@\"RTK[A\"F07$$\"3WLL$e'40j6F0$\"3heZ3&*yX?9F07$$\"3ommm6h O[7F0$\"3&or$\\3#f/k\"F07$$\"3xmmm\"yYUL\"F0$\"3#o,;M$)=>'=F07$$\"3CLL $eF>(>9F0$\"3?e')R**eK#3#F07$$\"3kmm;>K'*)\\\"F0$\"3w\"*Gjj9n'G#F07$$ \"3/++]Kd,\"e\"F0$\"3CD/Cf%f#)\\#F07$$\"3gmm;fX(em\"F0$\"3$=\\xp1%3F0$\"3'p@93([>dLF07$$\"3#*******H,Q+?F0$\"3-+(HuBq'zNF0 7$$\"3)*******\\*3q3#F0$\"3&**\\v#4\"fI!QF07$$\"3?+++q=\\q@F0$\"33+.D! oN$=SF07$$\"3mmm;fBIYAF0$\"3Q\"\\f0VFQ@%F07$$\"30LLLj$[kL#F0$\"3yKS/Ig GYWF07$$\"3?LLL`Q\"GT#F0$\"3(H8_a&*3Kk%F07$$\"3o****\\s]k,DF0$\"3AC]+K rFs[F07$$\"3#HLLLvv-e#F0$\"3cKJO#GT]2&F07$$\"33++]sgamEF0$\"3%\\-&p\"p 0vH&F07$$\"3!)****\\u)G _hF07$$\"3Mmm;f`@'3$F0$\"3%3\\HXo-(zjF07$$\"3y****\\nZ)H;$F0$\"3!Qd/,> nwd'F07$$\"3YmmmJy*eC$F0$\"33;0azUZ\"z'F07$$\"3')******R^bJLF0$\"3'*)f mR#zN7qF07$$\"3f*****\\5a`T$F0$\"3W\\C-x%\\%GsF07$$\"3o****\\7RV'\\$F0 $\"3vCY#e;HvV(F07$$\"3k*****\\@fke$F0$\"3_\\$GJ^w'pwF07$$\"3/LLL`4NnOF 0$\"3qJ6&)H7FyyF07$$\"3#*******\\,s`PF0$\"3#**\\.Oh!*45)F07$$\"3[mm;zM )>$QF0$\"3o!H#*yZ2GI)F07$$\"3$*******pfa.5Ffz7$$\"3!*******Rv&)zXF0$\"3))fA)RGMJ-\"Ff z7$$\"3%GLL$GUYoYF0$\"3;)3'4-K)f/\"Ffz7$$\"33mmm1^rZZF0$\"3[E5%oa>k1\" Ffz7$$\"34++]sI@K[F0$\"3_-Dz_*3#)3\"Ffz7$$\"34++]2%)38\\F0$\"3`k! 46Ffz7$$\"\"&F*$\"3(*********fZJ6FfzF`\\l-%%TEXTG6'7$$\"'N*G\"!\"&$\" \"$!\"\"Q$.586\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#5 -Fc\\m6'7$$\"'qG;Fh\\m$\"'9Y$[G+X#=) F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$ $!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$ !3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3R LLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)***** >z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3- +++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3 Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$ !3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$! 3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%! #>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTj Yb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3 G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX ')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3 z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$ \"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))** *********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG 6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"33+++++D#[\"F0F\\\\l-F][l6&F_[l$\") !\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"31+++++2(>#F0F` \\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7$F\\\\l$\"3A+++++++5F07$$\"3m mmm;')=(3\"F0$\"3L+qg:[U;7F07$$\"3WLL$e'40j6F0$\"3K]%\\/*[t/9F07$$\"3o mmm6hO[7F0$\"3U+dMk#4lh\"F07$$\"3xmmm\"yYUL\"F0$\"3R+*fiT(oH=F07$$\"3C LL$eF>(>9F0$\"3o\\+jpB&=/#F07$$\"3kmm;>K'*)\\\"F0$\"3**\\'3/Wc&QAF07$$ \"3/++]Kd,\"e\"F0$\"3**\\a:7@BUCF07$$\"3gmm;fX(em\"F0$\"3#*\\qB$ytGl#F 07$$\"3!*****\\U7Y]F0$\"3;+F]rw/pKF07$$\"3#*******H,Q+?F0$\"3G+Q\\\"e .K[$F07$$\"3)*******\\*3q3#F0$\"3W+qAO)Q#)p$F07$$\"3?+++q=\\q@F0$\"3p+ iA\\^Y0RF07$$\"3mmm;fBIYAF0$\"3))\\]1%\\YO4%F07$$\"30LLLj$[kL#F0$\"3Q* znVJ7uJ%F07$$\"3?LLL`Q\"GT#F0$\"3\")*>vbJrp]%F07$$\"3o****\\s]k,DF0$\" 3]\\Qm(\\tus%F07$$\"3#HLLLvv-e#F0$\"3y)>p9HbE#\\F07$$\"33++]sgamEF0$\" 3@]Q#Rl+o8&F07$$\"3!)****\\'ffF07$$\"3Mmm;f`@'3$F0$\"3g\\]WP*G&yhF07$$\"3y****\\nZ)H; $F0$\"31]X(*o04pjF07$$\"3YmmmJy*eC$F0$\"3Q+Hj^B!\\d'F07$$\"3')******R^ bJLF0$\"3i+k\"=1Evy'F07$$\"3f*****\\5a`T$F0$\"3]*Hx1)o`&*pF07$$\"3o*** *\\7RV'\\$F0$\"31]AkV!)z'>(F07$$\"3k*****\\@fke$F0$\"3/+f-^UE?uF07$$\" 3/LLL`4NnOF0$\"3I+7Ux&e5i(F07$$\"3#*******\\,s`PF0$\"3*)***Q&z$\\a$yF0 7$$\"3[mm;zM)>$QF0$\"3D\\i*4J>(H!)F07$$\"3$*******pfaW)F07$$\"3w****\\#G2A3%F0$\"3s\\%e !\\)R3l)F07$$\"3;LLL$)G[kTF0$\"3!3+$)>Gp]&))F07$$\"3#)****\\7yh]UF0$\" 3=\\iDr&y)o!*F07$$\"3Kmmm')fdLVF0$\"35*>j'GB![F*F07$$\"36mmm,FT=WF0$\" 3[*4RG6*Q&[*F07$$\"3FLL$e#pa-XF0$\"3U\\!>@8KUp*F07$$\"3!*******Rv&)zXF 0$\"3')*RSs$[G+X#=) F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$ $!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$ !3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3R LLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)***** >z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3- +++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3 Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$ !3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$! 3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%! #>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTj Yb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3 G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX ')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3 z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$ \"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))** *********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG 6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3,+++++)=S\"F0F\\\\l-F][l6&F_[l$\") !\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"33+++++Fl>F0F`\\ lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7$F\\\\l$\"2y***************F07$ $\"3mmmm;')=(3\"F0$\"3(**\\&[muT47F07$$\"3WLL$e'40j6F0$\"3-DaK%[I;R\"F 07$$\"3ommm6hO[7F0$\"3')\\5&*z![lf\"F07$$\"3xmmm\"yYUL\"F0$\"3')\\tT-S #G!=F07$$\"3CLL$eF>(>9F0$\"3\\C8VJ&>\"3?F07$$\"3kmm;>K'*)\\\"F0$\"3WCU [mZX)>#F07$$\"3/++]Kd,\"e\"F0$\"3WCWtxe`&R#F07$$\"3gmm;fX(em\"F0$\"3iC o\"\\Wd$*f#F07$$\"3!*****\\U7Y]\\?&3:,$F07$$\"3ommmhb59>F0$\"3E]:^25e&>$F07$$\"3#*******H,Q+?F0 $\"3w*pX/..GS$F07$$\"3)*******\\*3q3#F0$\"3(**\\:p#f(3h$F07$$\"3?+++q= \\q@F0$\"35+Vj+5UF07$$\"3?LLL`Q\"GT#F0$\"3K*z#=mMU$R%F07$$\"3o****\\s ]k,DF0$\"3mBq=$G'y1YF07$$\"3#HLLLvv-e#F0$\"3!*)zt\"H&[cz%F07$$\"33++]s gamEF0$\"3!\\-xgMgG+&F07$$\"3!)****\\'F07$$\"3YmmmJy*eC$F0$\"3u[=!Ha*R%R'F07$$\"3')* *****R^bJLF0$\"3-+Y@v*Q,g'F07$$\"3f*****\\5a`T$F0$\"3!zWe7([T,oF07$$\" 3o****\\7RV'\\$F0$\"3#Ri%4]'fh*pF07$$\"3k*****\\@fke$F0$\"3\\\\j\"R_!R 7sF07$$\"3/LLL`4NnOF0$\"3#))z,8e$o1uF07$$\"3#*******\\,s`PF0$\"3++N3\" *G89wF07$$\"3[mm;zM)>$QF0$\"3ZCcx)z7@!yF07$$\"3$*******pfa$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3 ?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2 b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgT G>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjB F07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3` !e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q _u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33& )owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)z u#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$ \"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmm uX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%o mmmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$ $\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa 2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y \\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!************* *R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\") -%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3(************[L\"F0F \\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\ l$\"3++++++'>y\"F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7$F\\\\l$ \"2y***************F07$$\"3mmmm;')=(3\"F0$\"3Tm6%HdxN?\"F07$$\"3WLL$e' 40j6F0$\"3W3RjI$42Q\"F07$$\"3ommm6hO[7F0$\"3C;;z(>9F0$\"3s2gLMn+!)>F07$$\"3kmm;>K '*)\\\"F0$\"3'3Wk+@M];#F07$$\"3/++]Kd,\"e\"F0$\"3Uu:(RW>mN#F07$$\"3gmm ;fX(em\"F0$\"3OTQ%p;dZb#F07$$\"3!*****\\U7Y]F0$\"3s;6*p@aV8$F07$$\"3#** *****H,Q+?F0$\"3^*HQ$pvzNLF07$$\"3)*******\\*3q3#F0$\"3v*\\Wu1o!QNF07$ $\"3?+++q=\\q@F0$\"3Y+<=sJ*Ht$F07$$\"3mmm;fBIYAF0$\"3@T=WTQ+5RF07$$\"3 0LLLj$[kL#F0$\"3OK1.[m[?TF07$$\"3?LLL`Q\"GT#F0$\"3]KlG%>$z)H%F07$$\"3o ****\\s]k,DF0$\"3,u4B'41i]%F07$$\"3#HLLLvv-e#F0$\"3/Kb@f;!)*o%F07$$\"3 3++]sgamEF0$\"3ou49!4N7*[F07$$\"3!)****\\*RP>TrRW'F07$$\"3f*****\\5a`T$F0$\"3p[bI`WjRmF07$$ \"3o****\\7RV'\\$F0$\"3Bt`j1&[*GoF07$$\"3k*****\\@fke$F0$\"3C[cp&[\\\" RqF07$$\"3/LLL`4NnOF0$\"3uKvW9W-GsF07$$\"3#*******\\,s`PF0$\"3+*\\Oar) oHuF07$$\"3[mm;zM)>$QF0$\"3-S5MXlU7wF07$$\"3$*******pfa)F07$$\"3;LLL$)G[kTF0$\"3gIQ7HFy)Q)F07$$\"3#)****\\7yh]UF0$\"3'HP %eO+!**e)F07$$\"3Kmmm')fdLVF0$\"3)\\'y-2**f$y)F07$$\"36mmm,FT=WF0$\"3- 9&[7+'o\")*)F07$$\"3FLL$e#pa-XF0$\"3#p](fU=8y\"*F07$$\"3!*******Rv&)zX F0$\"3u)R@(o^ke$*F07$$\"3%GLL$GUYoYF0$\"3C\"yx8\"Q`l&*F07$$\"33mmm1^rZ ZF0$\"3Cjqqzud](*F07$$\"34++]sI@K[F0$\"3/t46DE(y%**F07$$\"34++]2%)38\\ F0$\"3K#eb`#4n85Ffz7$$\"\"&F*$\"3$*********R'R.\"FfzF`\\l-%%TEXTG6'7$$ \"'Xn6!\"&$\"\"$!\"\"Q$.336\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG% (DEFAULTG\"#5-Ff\\m6'7$$\"'!\\Q\"F[]m$\"')4R\"F[]mQ2f(x~+~.33)~-~f(x)F `]m%+ALIGNRIGHTGF`\\lFb]m-Ff\\m6(7$$\"$:\"!\"#$\"#oF^]mQ!F`]mF`^m%+ALI GNBELOWGF`\\lFb]m-Ff\\m6'7$$Fg[lF^]m$\"#lF^]mFi^mF`^mF`\\lFb]m-Ff\\m6( 7$F^_m$\"#bF^]mF_^mFa]mF`^mF`\\lFb]m-Ff\\m6(7$$\"\"#F^]m$\"#`F^]mFi^mF `^mFj^mF`\\lFb]m-Ff\\m6(7$$\"\")F^]m$\"$N&Ff^mFi^mF`^mFj^mF`\\lFb]m-F$ 6%7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!***************=F0Fj`mF`\\ lFd[l-Ff\\m6'7$$Fg]mF^]m$\"#^F^]mF_]mFj^mF`\\lFb]m-Ff\\m6&7$Fbam$!#5F^ ]mQ&x~=~1F`]mF\\[lFb]m-Ff\\m6$7$F`[lF`[lFi^m-F$6%7$7$F`[lF\\\\lF[\\lF \\[l-Fe[l6#F]]m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lFbbm-F$6%7$7$F`[lFj\\lFi\\ lF`\\lFbbm-F$6%7$7$F^\\lF`[lF]\\lF`\\lFbbm-%&TITLEG6$%5Slope~of~Secant ~LineGFb]m-%+AXESLABELSG6%%!GFgcm-Fc]m6#Ff]m-%*AXESTICKSG6$\"\"%F]dm-% %VIEWG6$;F($\"#MF^]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Cur ve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 1 8" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$ \"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3 ?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2 b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgT G>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjB F07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3` !e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q _u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33& )owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)z u#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$ \"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmm uX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%o mmmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$ $\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa 2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y \\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!************* *R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\") -%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3++++++3z7F0F\\\\l-F][ l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"3,+++ ++0O;F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7$F\\\\l$\"3A+++++++5 F07$$\"3mmmm;')=(3\"F0$\"3C+]Cw:r)>\"F07$$\"3WLL$e'40j6F0$\"3e]2Bc%4;P \"F07$$\"3ommm6hO[7F0$\"39+&*4070m:F07$$\"3xmmm\"yYUL\"F0$\"3k+l4S=yh< F07$$\"3CLL$eF>(>9F0$\"3A]F07$$\"3kmm;>K'*)\\\"F0$\"3W]F!G2(=P@ F07$$\"3/++]Kd,\"e\"F0$\"3f]2%f&H>CBF07$$\"3gmm;fX(em\"F0$\"3**\\nz2Zf F0$\"3Y+Xf&)zL$3$F07$$\"3#*******H,Q+?F0$\"3?+IGaj' *zKF07$$\"3)*******\\*3q3#F0$\"3A+]%z4-uZ$F07$$\"3?+++q=\\q@F0$\"3Q,q \"4-owm$F07$$\"3mmm;fBIYAF0$\"3=]nx1xWSQF07$$\"30LLLj$[kL#F0$\"3++I([Y **e/%F07$$\"3?LLL`Q\"GT#F0$\"30+?8`S%*>UF07$$\"3o****\\s]k,DF0$\"3(*\\ Zt%G*RAWF07$$\"3#HLLLvv-e#F0$\"3O**>Upkg,YF07$$\"33++]sgamEF0$\"3o]Z$Q :D#)z%F07$$\"3!)****\\g`F07$$\"3immmTc-)*HF0$\"3i+ D#*R-q`bF07$$\"3Mmm;f`@'3$F0$\"3I]n2DMpadF07$$\"3y****\\nZ)H;$F0$\"3e] #4Oee'HfF07$$\"3YmmmJy*eC$F0$\"3^+::[di=hF07$$\"3')******R^bJLF0$\"39+ Sd>t%QJ'F07$$\"3f*****\\5a`T$F0$\"3d*\\02aL[]'F07$$\"3o****\\7RV'\\$F0 $\"3s\\(y*HDi*o'F07$$\"3k*****\\@fke$F0$\"3y+l!p>*z%*oF07$$\"3/LLL`4Nn OF0$\"3y+?ud&f\"zqF07$$\"3#*******\\,s`PF0$\"3'4+lQf.gF(F07$$\"3[mm;zM )>$QF0$\"3!)\\(otatVX(F07$$\"3$*******pfa@JIb(f)F07$$\"36mmm,FT=WF0$\"3S*\\o$)Q/4z)F07$$ \"3FLL$e#pa-XF0$\"3E^nm)paE)*)F07$$\"3!*******Rv&)zXF0$\"3#)**RT>L&)e \"*F07$$\"3%GLL$GUYoYF0$\"3w*\\%zAozg$*F07$$\"33mmm1^rZZF0$\"3)***Rg* \\<9a*F07$$\"34++]sI@K[F0$\"3)=vMN\"o*Rt*F07$$\"34++]2%)38\\F0$\"3b^K` *y>$=**F07$$\"\"&F*$\"30+++++k65FfzF`\\l-%%TEXTG6'7$$\"'3H:!\"&$\"\"$! \"\"Q$.286\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#5-Ff \\m6'7$$\"'3H8F[]m$\"'-=8F[]mQ2f(x~+~.28)~-~f(x)F`]m%+ALIGNRIGHTGF`\\l Fb]m-Ff\\m6(7$$\"$:\"!\"#$\"#oF^]mQ!F`]mF`^m%+ALIGNBELOWGF`\\lFb]m-Ff \\m6'7$$Fg[lF^]m$\"#lF^]mFi^mF`^mF`\\lFb]m-Ff\\m6(7$F^_m$\"#bF^]mF_^mF a]mF`^mF`\\lFb]m-Ff\\m6(7$$\"\"#F^]m$\"#`F^]mFi^mF`^mFj^mF`\\lFb]m-Ff \\m6(7$$\"\")F^]m$\"$N&Ff^mFi^mF`^mFj^mF`\\lFb]m-F$6%7$7$$\"3G+++++++] Fbr$\"3;+++++++_F07$$\"3!***************=F0Fj`mF`\\lFd[l-Ff\\m6'7$$Fg] mF^]m$\"#^F^]mF_]mFj^mF`\\lFb]m-Ff\\m6&7$Fbam$!#5F^]mQ&x~=~1F`]mF\\[lF b]m-Ff\\m6$7$F`[lF`[lFi^m-F$6%7$7$F`[lF\\\\lF[\\lF\\[l-Fe[l6#F]]m-F$6% 7$7$F\\\\lF`[lF[\\lF\\[lFbbm-F$6%7$7$F`[lFj\\lFi\\lF`\\lFbbm-F$6%7$7$F ^\\lF`[lF]\\lF`\\lFbbm-%&TITLEG6$%5Slope~of~Secant~LineGFb]m-%+AXESLAB ELSG6%%!GFgcm-Fc]m6#Ff]m-%*AXESTICKSG6$\"\"%F]dm-%%VIEWG6$;F($\"#MF^]m ;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 " Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" " Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve \+ 14" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7 S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%= \"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF 0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F 0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3 mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\" 3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"3 13WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$ \"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFf p$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGENLF fp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmm mK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\" 3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ff p7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H. 0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0 $\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\" F0$\"3%)=5;,F07$$\"3PmmmmNF0$ \"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E $F0$\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))***********f:\"Ffz -%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7 $$Fg[lF*F\\\\l7$$\"3&**********pDB\"F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[l Fb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"33+++++B>:F0F`\\lFd[l-F$6%7 $F[\\lFi\\lF`\\lFd[l-F$6$7SF[\\l7$$\"3mmmm;')=(3\"F0$\"3imwzhbl%>\"F07 $$\"3WLL$e'40j6F0$\"3!Q=+`KCSO\"F07$$\"3ommm6hO[7F0$\"3ymZe8s\\a:F07$$ \"3xmmm\"yYUL\"F0$\"3%pO8)zEBY(>9F0$\"3'H)*R3'o0P>F07$ $\"3kmm;>K'*)\\\"F0$\"3u;r%QIvR6#F07$$\"3/++]Kd,\"e\"F0$\"31][1/T;(H#F 07$$\"3gmm;fX(em\"F0$\"3Q;VIB#=m[#F07$$\"3!*****\\U7Y]F0$\"3`md'[z83/$F 07$$\"3#*******H,Q+?F0$\"32+ajq'GMB$F07$$\"3)*******\\*3q3#F0$\"3:+5fT W$oU$F07$$\"3?+++q=\\q@F0$\"3i+Y7Rn@8OF07$$\"3mmm;fBIYAF0$\"3Y;$G5spCy $F07$$\"30LLLj$[kL#F0$\"3)Gt5q)ys$)RF07$$\"3?LLL`Q\"GT#F0$\"3%R$\\n_*> U:%F07$$\"3o****\\s]k,DF0$\"3)*\\?'fvUDN%F07$$\"3#HLLLvv-e#F0$\"3+LpPT ?4GXF07$$\"33++]sgamEF0$\"3\\\\?aIup?ZF07$$\"3!)****\\hWP$Q0iF07$$\"3f*****\\5a`T$F0$\"3M) *3un7Z#R'F07$$\"3o****\\7RV'\\$F0$\"3=]#pVU)[tlF07$$\"3k*****\\@fke$F0 $\"3A)pCU6xWx'F07$$\"3/LLL`4NnOF0$\"3/KHR\"Ru]&pF07$$\"3#*******\\,s`P F0$\"3?+q[K0!z9(F07$$\"3[mm;zM)>$QF0$\"3O;z\"fnHEK(F07$$\"3$*******pfa XR$p(F07$$\"3w****\\ #G2A3%F0$\"3')\\QwMVF\")yF07$$\"3;LLL$)G[kTF0$\"3%>Lsc>h\\1)F07$$\"3#) ****\\7yh]UF0$\"3U[7$eJksD)F07$$\"3Kmmm')fdLVF0$\"3!\\E7j2vCW)F07$$\"3 6mmm,FT=WF0$\"3'e'p[H)z=j)F07$$\"3FLL$e#pa-XF0$\"3]$)pn:ir>))F07$$\"3! *******Rv&)zXF0$\"3_*>`mM=B**)F07$$\"3%GLL$GUYoYF0$\"3)=V#*o')R,>*F07$ $\"33mmm1^rZZF0$\"3ek=%GztqO*F07$$\"34++]sI@K[F0$\"3i\\?ShAsb&*F07$$\" 34++]2%)38\\F0$\"31]j\"o\"HGO(*F07$$\"\"&F*$\"3.+++++KI**F0F`\\l-%%TEX TG6'7$$\"'d#[\"!\"&$\"\"$!\"\"Q$.236\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HE LVETICAG%(DEFAULTG\"#5-Fc\\m6'7$$\"'d#G\"Fh\\m$\"'if7Fh\\mQ2f(x~+~.23) ~-~f(x)F]]m%+ALIGNRIGHTGF`\\lF_]m-Fc\\m6(7$$\"$:\"!\"#$\"#oF[]mQ!F]]mF ]^m%+ALIGNBELOWGF`\\lF_]m-Fc\\m6'7$$Fg[lF[]m$\"#lF[]mFf^mF]^mF`\\lF_]m -Fc\\m6(7$F[_m$\"#bF[]mF\\^mF^]mF]^mF`\\lF_]m-Fc\\m6(7$$\"\"#F[]m$\"#` F[]mFf^mF]^mFg^mF`\\lF_]m-Fc\\m6(7$$\"\")F[]m$\"$N&Fc^mFf^mF]^mFg^mF` \\lF_]m-F$6%7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!***************= F0Fg`mF`\\lFd[l-Fc\\m6'7$$Fd]mF[]m$\"#^F[]mF\\]mFg^mF`\\lF_]m-Fc\\m6&7 $F_am$!#5F[]mQ&x~=~1F]]mF\\[lF_]m-Fc\\m6$7$F`[lF`[lFf^m-F$6%7$7$F`[lF \\\\lF[\\lF\\[l-Fe[l6#Fj\\m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lF_bm-F$6%7$7$F `[lFj\\lFi\\lF`\\lF_bm-F$6%7$7$F^\\lF`[lF]\\lF`\\lF_bm-%&TITLEG6$%5Slo pe~of~Secant~LineGF_]m-%+AXESLABELSG6%%!GFdcm-F`]m6#Fc]m-%*AXESTICKSG6 $\"\"%Fjcm-%%VIEWG6$;F($\"#MF[]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve \+ 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17 " "Curve 18" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#) \\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh -EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GB F0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0 $\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33Eq M\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\" 3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$ \"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(F fp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFf p$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p' 3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\" 3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7 $$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8 O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\" 3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F 0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!****** ********R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*+++ +\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3-+++++\"Q>\"F0 F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^ \\l$\"3*)*********z^U\"F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7SF[ \\l7$$\"3mmmm;')=(3\"F0$\"3MLLC(Qu7>\"F07$$\"3WLL$e'40j6F0$\"3)p;X)37q d8F07$$\"3ommm6hO[7F0$\"3DLVxvb'[a\"F07$$\"3xmmm\"yYUL\"F0$\"3aL.i*eqK t\"F07$$\"3CLL$eF>(>9F0$\"3EmJKZ,y?>F07$$\"3kmm;>K'*)\\\"F0$\"3/Ly?5bi %4#F07$$\"3/++]Kd,\"e\"F0$\"33+&eRJKYF#F07$$\"3gmm;fX(em\"F0$\"3?L)**y g&zgCF07$$\"3!*****\\U7Y]F0$\"3#HL%=\"yk`+$F07$$\"3#*******H,Q+?F0$\"3+ +S>HRj%>$F07$$\"3)*******\\*3q3#F0$\"3y***4XB!o%Q$F07$$\"3?+++q=\\q@F0 $\"37+gSk]#yc$F07$$\"3mmm;fBIYAF0$\"3*H$)Rb6QTt$F07$$\"30LLLj$[kL#F0$ \"3Pm1[>/!>$RF07$$\"3?LLL`Q\"GT#F0$\"3GmEWJ5V*4%F07$$\"3o****\\s]k,DF0 $\"3m)\\]+'*3VH%F07$$\"3#HLLLvv-e#F0$\"37lEmZ*3oY%F07$$\"33++]sgamEF0$ \"3c*\\]Qxogl%F07$$\"3!)****\\&F07$$\"3immmTc-)*HF 0$\"3)GL)o_'oKQ&F07$$\"3Mmm;f`@'3$F0$\"3qK)R\\DRnd&F07$$\"3y****\\nZ)H ;$F0$\"3K*\\TH)f:XdF07$$\"3YmmmJy*eC$F0$\"3NK.6j10FfF07$$\"3')******R^ bJLF0$\"35**>8mc'\\6'F07$$\"3f*****\\5a`T$F0$\"3O)**[b$Q!))H'F07$$\"3o ****\\7RV'\\$F0$\"3]*\\UsrwmZ'F07$$\"3k*****\\@fke$F0$\"3q)*p'eAuTn'F0 7$$\"3/LLL`4NnOF0$\"3slEU@Xj^oF07$$\"3#*******\\,s`PF0$\"3^++2l76TqF07 $$\"3[mm;zM)>$QF0$\"3ALefc`!G@(F07$$\"3$*******pfa8$)F07$$\"36mmm,FT=WF0$\"3#=L;\\ y8$*\\)F07$$\"3FLL$e#pa-XF0$\"3ImJ*eW()Qo)F07$$\"3!*******Rv&)zXF0$\"3 )4+_7Z\"\\`))F07$$\"3%GLL$GUYoYF0$\"3Elw6Co(y/*F07$$\"33mmm1^rZZF0$\"3 ,L`+,ut@#*F07$$\"34++]sI@K[F0$\"3%)*\\]%Q!4rS*F07$$\"34++]2%)38\\F0$\" 37,NP[L`%e*F07$$\"\"&F*$\"3!***********>v(*F0F`\\l-%%TEXTG6'7$$\"'\"QW \"!\"&$\"\"$!\"\"Q$.196\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEF AULTG\"#5-Fc\\m6'7$$\"'\"QC\"Fh\\m$\"'f77Fh\\mQ2f(x~+~.19)~-~f(x)F]]m% +ALIGNRIGHTGF`\\lF_]m-Fc\\m6(7$$\"$:\"!\"#$\"#oF[]mQ!F]]mF]^m%+ALIGNBE LOWGF`\\lF_]m-Fc\\m6'7$$Fg[lF[]m$\"#lF[]mFf^mF]^mF`\\lF_]m-Fc\\m6(7$F[ _m$\"#bF[]mF\\^mF^]mF]^mF`\\lF_]m-Fc\\m6(7$$\"\"#F[]m$\"#`F[]mFf^mF]^m Fg^mF`\\lF_]m-Fc\\m6(7$$\"\")F[]m$\"$N&Fc^mFf^mF]^mFg^mF`\\lF_]m-F$6%7 $7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!***************=F0Fg`mF`\\lFd [l-Fc\\m6'7$$Fd]mF[]m$\"#^F[]mF\\]mFg^mF`\\lF_]m-Fc\\m6&7$F_am$!#5F[]m Q&x~=~1F]]mF\\[lF_]m-Fc\\m6$7$F`[lF`[lFf^m-F$6%7$7$F`[lF\\\\lF[\\lF\\[ l-Fe[l6#Fj\\m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lF_bm-F$6%7$7$F`[lFj\\lFi\\lF `\\lF_bm-F$6%7$7$F^\\lF`[lF]\\lF`\\lF_bm-%&TITLEG6$%5Slope~of~Secant~L ineGF_]m-%+AXESLABELSG6%%!GFdcm-F`]m6#Fc]m-%*AXESTICKSG6$\"\"%Fjcm-%%V IEWG6$;F($\"#MF[]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Cur ve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 1 8" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$ \"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3 ?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2 b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgT G>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjB F07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3` !e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q _u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33& )owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)z u#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$ \"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmm uX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%o mmmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$ $\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa 2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y \\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!************* *R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\") -%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3/+++++^h6F0F\\\\l-F][ l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"3/+++ ++6\\8F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7SF[\\l7$$\"3mmmm;')=( 3\"F0$\"3wm'pCoh%)=\"F07$$\"3WLL$e'40j6F0$\"3Q$Q(o%=TCN\"F07$$\"3ommm6 hO[7F0$\"3sm>,&G`o`\"F07$$\"3xmmm\"yYUL\"F0$\"3#owV%)y([A(>9F0$\"3&Hy%[.+C2>F07$$\"3kmm;>K'*)\\\"F0$\"3q;vvc*G&y?F07$$\"3/++ ]Kd,\"e\"F0$\"3;]!Gku))eD#F07$$\"3gmm;fX(em\"F0$\"3\\;6i%\\9$RCF07$$\" 3!*****\\U7Y]:AEF07$$\"3QLLLV!pu$=F0$\"3hLn#f$GA5GF07$ $\"3ommmhb59>F0$\"3+n\\wNd(e(HF07$$\"3#*******H,Q+?F0$\"35+-?m;OiJF07$ $\"3)*******\\*3q3#F0$\"3')**HyDLh\\LF07$$\"3?+++q=\\q@F0$\"3y+)zm*\\1 INF07$$\"3mmm;fBIYAF0$\"3s;JV,C$Rp$F07$$\"30LLLj$[kL#F0$\"3SK&z_f'y))Q F07$$\"3?LLL`Q\"GT#F0$\"3)Q8Mll`Q0%F07$$\"3o****\\s]k,DF0$\"3g[;,!*e'e C%F07$$\"3#HLLLvv-e#F0$\"3?L,'=DHeT%F07$$\"33++]sgamEF0$\"3g\\;b(*fI-Y F07$$\"3!)****\\M %4y`n&F07$$\"3YmmmJy*eC$F0$\"3gm21**zfaeF07$$\"3')******R^bJLF0$\"3_*f :tp\\(RgF07$$\"3f*****\\5a`T$F0$\"3d*p@@^%)3A'F07$$\"3o****\\7RV'\\$F0 $\"3%)\\_Af<9'R'F07$$\"3k*****\\@fke$F0$\"3%)*4\"f^]t!f'F07$$\"3/LLL`4 NnOF0$\"3YK\"o'zdelnF07$$\"3#*******\\,s`PF0$\"31+5.`iF_pF07$$\"3[mm;z M)>$QF0$\"33:zbpbW@rF07$$\"3$*******pfa#Qyl0#)F07$$\"36mmm,FT=WF0$\"3Uk0;\"zN!*Q)F07$$\"3 FLL$e#pa-XF0$\"3W#yl?G&*3d)F07$$\"3!*******Rv&)zXF0$\"3u*f6qE0!Q()F07$ $\"3%GLL$GUYoYF0$\"3JJ;6o@`H*)F07$$\"33mmm1^rZZF0$\"3lkUm6h$35*F07$$\" 34++]sI@K[F0$\"31];tW=[$G*F07$$\"34++]2%)38\\F0$\"3A]vM;rHe%*F07$$\"\" &F*$\"33+++++;Y'*F0F`\\l-%%TEXTG6'7$$\"'^69!\"&$\"\"$!\"\"Q$.166\"%+AL IGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#5-Fc\\m6'7$$\"'^67Fh \\m$\"'cu6Fh\\mQ2f(x~+~.16)~-~f(x)F]]m%+ALIGNRIGHTGF`\\lF_]m-Fc\\m6(7$ $\"$:\"!\"#$\"#oF[]mQ!F]]mF]^m%+ALIGNBELOWGF`\\lF_]m-Fc\\m6'7$$Fg[lF[] m$\"#lF[]mFf^mF]^mF`\\lF_]m-Fc\\m6(7$F[_m$\"#bF[]mF\\^mF^]mF]^mF`\\lF_ ]m-Fc\\m6(7$$\"\"#F[]m$\"#`F[]mFf^mF]^mFg^mF`\\lF_]m-Fc\\m6(7$$\"\")F[ ]m$\"$N&Fc^mFf^mF]^mFg^mF`\\lF_]m-F$6%7$7$$\"3G+++++++]Fbr$\"3;+++++++ _F07$$\"3!***************=F0Fg`mF`\\lFd[l-Fc\\m6'7$$Fd]mF[]m$\"#^F[]mF \\]mFg^mF`\\lF_]m-Fc\\m6&7$F_am$!#5F[]mQ&x~=~1F]]mF\\[lF_]m-Fc\\m6$7$F `[lF`[lFf^m-F$6%7$7$F`[lF\\\\lF[\\lF\\[l-Fe[l6#Fj\\m-F$6%7$7$F\\\\lF`[ lF[\\lF\\[lF_bm-F$6%7$7$F`[lFj\\lFi\\lF`\\lF_bm-F$6%7$7$F^\\lF`[lF]\\l F`\\lF_bm-%&TITLEG6$%5Slope~of~Secant~LineGF_]m-%+AXESLABELSG6%%!GFdcm -F`]m6#Fc]m-%*AXESTICKSG6$\"\"%Fjcm-%%VIEWG6$;F($\"#MF[]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Cur ve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Cur ve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15 " "Curve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20" }}}{PARA 13 " " 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"! $\"\"*F*7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp 3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBx gF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t %[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$ !3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F0 7$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F0 7$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U( Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[o NFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR 76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32 cxL&)yiFfp$\" 3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YF fp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o***** RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3 j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH \"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$ F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\" RPj5!#;7$$\"3!**************R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$ RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l 7$$\"3************eM6F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc [lFd[l-F$6%7$F]\\l7$F^\\l$\"3/+++++H(G\"F0F`\\lFd[l-F$6%7$F[\\lFi\\lF` \\lFd[l-F$6$7SF[\\l7$$\"3mmmm;')=(3\"F0$\"3))**>fL$4h=\"F07$$\"3WLL$e' 40j6F0$\"39+#H'p?/[8F07$$\"3ommm6hO[7F0$\"37+#>tO_,`\"F07$$\"3xmmm\"yY UL\"F0$\"3P+WF5)pMr\"F07$$\"3CLL$eF>(>9F0$\"3g*zAu(f\"f*=F07$$\"3kmm;> K'*)\\\"F0$\"3#**R/\"Hp1l?F07$$\"3/++]Kd,\"e\"F0$\"3;+_'>%H@SAF07$$\"3 gmm;fX(em\"F0$\"3%**z9!*>\\8U#F07$$\"3!*****\\U7Y]g#F 07$$\"3QLLLV!pu$=F0$\"31+w8@zi(y#F07$$\"3ommmhb59>F0$\"37+7rnJ@^HF07$$ \"3#*******H,Q+?F0$\"3U*z#H59PNJF07$$\"3)*******\\*3q3#F0$\"3q**>JCeG? LF07$$\"3?+++q=\\q@F0$\"3I+s-E^[)\\$F07$$\"3mmm;fBIYAF0$\"3u*z#yjrIgOF 07$$\"30LLLj$[kL#F0$\"3#)*zO%=#HF&QF07$$\"3?LLL`Q\"GT#F0$\"3h+7xQft:SF 07$$\"3o****\\s]k,DF0$\"3[*fbf]^`?%F07$$\"3#HLLLvv-e#F0$\"3S*>N?T$>tVF 07$$\"33++]sgamEF0$\"3g+c^%eUtb%F07$$\"3!)****\\Q_4_'F07$$\"3/LLL`4NnOF0$\"3O*>Z4l?Op'F07$$\"3#*******\\,s`PF0 $\"3q**RQ$)3)z(oF07$$\"3[mm;zM)>$QF0$\"3'*****Gb'Q]/(F07$$\"3$*******p faLpPc\"zvF07$$\"3;LLL$)G[kTF0$\"3?**zW$eyZv(F07$$\"3#)** **\\7yh]UF0$\"3%))**\\yvQ'QzF07$$\"3Kmmm')fdLVF0$\"3F)>*4ezr:\")F07$$ \"36mmm,FT=WF0$\"3S)fpk,2oH)F07$$\"3FLL$e#pa-XF0$\"3#**z1gc'Rw%)F07$$ \"3!*******Rv&)zXF0$\"38+Ce52UT')F07$$\"3%GLL$GUYoYF0$\"33*>JK+d0$))F0 7$$\"33mmm1^rZZF0$\"3?*R'3eFs***)F07$$\"34++]sI@K[F0$\"3/+c.O()3!=*F07 $$\"34++]2%)38\\F0$\"3M*>86*>s_$*F07$$\"\"&F*$\"30+++++CQ&*F0F`\\l-%%T EXTG6'7$$\"'f%Q\"!\"&$\"\"$!\"\"Q$.136\"%+ALIGNABOVEGF`\\l-%%FONTG6%%* HELVETICAG%(DEFAULTG\"#5-Fc\\m6'7$$\"'f%=\"Fh\\m$\"'kV6Fh\\mQ2f(x~+~.1 3)~-~f(x)F]]m%+ALIGNRIGHTGF`\\lF_]m-Fc\\m6(7$$\"$:\"!\"#$\"#oF[]mQ!F]] mF]^m%+ALIGNBELOWGF`\\lF_]m-Fc\\m6'7$$Fg[lF[]m$\"#lF[]mFf^mF]^mF`\\lF_ ]m-Fc\\m6(7$F[_m$\"#bF[]mF\\^mF^]mF]^mF`\\lF_]m-Fc\\m6(7$$\"\"#F[]m$\" #`F[]mFf^mF]^mFg^mF`\\lF_]m-Fc\\m6(7$$\"\")F[]m$\"$N&Fc^mFf^mF]^mFg^mF `\\lF_]m-F$6%7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!*************** =F0Fg`mF`\\lFd[l-Fc\\m6'7$$Fd]mF[]m$\"#^F[]mF\\]mFg^mF`\\lF_]m-Fc\\m6& 7$F_am$!#5F[]mQ&x~=~1F]]mF\\[lF_]m-Fc\\m6$7$F`[lF`[lFf^m-F$6%7$7$F`[lF \\\\lF[\\lF\\[l-Fe[l6#Fj\\m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lF_bm-F$6%7$7$F `[lFj\\lFi\\lF`\\lF_bm-F$6%7$7$F^\\lF`[lF]\\lF`\\lF_bm-%&TITLEG6$%5Slo pe~of~Secant~LineGF_]m-%+AXESLABELSG6%%!GFdcm-F`]m6#Fc]m-%*AXESTICKSG6 $\"\"%Fjcm-%%VIEWG6$;F($\"#MF[]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve \+ 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17 " "Curve 18" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#) \\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh -EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GB F0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0 $\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33Eq M\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\" 3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$ \"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(F fp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFf p$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p' 3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\" 3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7 $$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8 O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\" 3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F 0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!****** ********R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*+++ +\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3/+++++;76F0F\\ \\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$ \"36+++++!pB\"F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7S7$F\\\\l$\"2 y***************F07$$\"3mmmm;')=(3\"F0$\"3gm'y&3j:%=\"F07$$\"3WLL$e'40 j6F0$\"3QLX*zs*QW8F07$$\"3ommm6hO[7F0$\"3XmyTm*)eC:F07$$\"3xmmm\"yYUL \"F0$\"3cm]O#o#)fq\"F07$$\"3CLL$eF>(>9F0$\"3sKTklU^')=F07$$\"3kmm;>K'* )\\\"F0$\"3Qm]*H:!*Q0#F07$$\"3/++]Kd,\"e\"F0$\"3t*>d&*=)>FAF07$$\"3gmm ;fX(em\"F0$\"3yl%*))3OV1CF07$$\"3!*****\\U7Y]F0$\"3Tm)HJ?P2$HF07$$\"3#* ******H,Q+?F0$\"3H*z!Q&*G'H6$F07$$\"3)*******\\*3q3#F0$\"3E**>$Q#o$fH$ F07$$\"3?+++q=\\q@F0$\"37+#R\"3hEsMF07$$\"3mmm;fBIYAF0$\"3,?XF07$$\"3!)****\\(Qj'F07$$\"3#*******\\,s`PF0$ \"3c)*R-_vH;oF07$$\"3[mm;zM)>$QF0$\"3akmNDAg\")pF07$$\"3$*******pfa&*f*QKirF07$$\"3#HLLeg`!)*RF0$\"3?Kp4/*oBL(F07$$\"3w****\\#G2A 3%F0$\"37*>0Q$\\65vF07$$\"3;LLL$)G[kTF0$\"3UJ8'o;%*Qo(F07$$\"3#)****\\ 7yh]UF0$\"3!y**\\)=\\#e'yF07$$\"3Kmmm')fdLVF0$\"3.ly*f&e/T!)F07$$\"36m mm,FT=WF0$\"3qkA&>dM-A)F07$$\"3FLL$e#pa-XF0$\"3/L\"o[^RzR)F07$$\"3!*** ****Rv&)zXF0$\"3e*R'o,>Bh&)F07$$\"3%GLL$GUYoYF0$\"3uKl^/MQ[()F07$$\"33 mmm1^rZZF0$\"3xkqpRRx:*)F07$$\"34++]sI@K[F0$\"3)**f6K;ZU4*F07$$\"34++] 2%)38\\F0$\"3=+_y5)o]E*F07$$\"\"&F*$\"3E*********R'[%*F0F`\\l-%%TEXTG6 '7$$\"';i8!\"&$\"\"$!\"\"Q$.116\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETI CAG%(DEFAULTG\"#5-Ff\\m6'7$$\"';i6F[]m$\"'X=6F[]mQ2f(x~+~.11)~-~f(x)F` ]m%+ALIGNRIGHTGF`\\lFb]m-Ff\\m6(7$$\"$:\"!\"#$\"#oF^]mQ!F`]mF`^m%+ALIG NBELOWGF`\\lFb]m-Ff\\m6'7$$Fg[lF^]m$\"#lF^]mFi^mF`^mF`\\lFb]m-Ff\\m6(7 $F^_m$\"#bF^]mF_^mFa]mF`^mF`\\lFb]m-Ff\\m6(7$$\"\"#F^]m$\"#`F^]mFi^mF` ^mFj^mF`\\lFb]m-Ff\\m6(7$$\"\")F^]m$\"$N&Ff^mFi^mF`^mFj^mF`\\lFb]m-F$6 %7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!***************=F0Fj`mF`\\l Fd[l-Ff\\m6'7$$Fg]mF^]m$\"#^F^]mF_]mFj^mF`\\lFb]m-Ff\\m6&7$Fbam$!#5F^] mQ&x~=~1F`]mF\\[lFb]m-Ff\\m6$7$F`[lF`[lFi^m-F$6%7$7$F`[lF\\\\lF[\\lF\\ [l-Fe[l6#F]]m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lFbbm-F$6%7$7$F`[lFj\\lFi\\lF `\\lFbbm-F$6%7$7$F^\\lF`[lF]\\lF`\\lFbbm-%&TITLEG6$%5Slope~of~Secant~L ineGFb]m-%+AXESLABELSG6%%!GFgcm-Fc]m6#Ff]m-%*AXESTICKSG6$\"\"%F]dm-%%V IEWG6$;F($\"#MF^]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Cur ve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 1 8" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$ \"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3 ?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2 b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgT G>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjB F07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3` !e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q _u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33& )owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)z u#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$ \"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmm uX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%o mmmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$ $\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa 2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y \\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!************* *R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\") -%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"35+++++Y$4\"F0F\\\\l-F ][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"33+ ++++l&>\"F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7SF[\\l7$$\"3mmmm;' )=(3\"F0$\"3mmh,A:_#=\"F07$$\"3WLL$e'40j6F0$\"3le^QADLT8F07$$\"3ommm6h O[7F0$\"3`;T#=5K*>:F07$$\"3xmmm\"yYUL\"F0$\"3+<)3_b:(*p\"F07$$\"3CLL$e F>(>9F0$\"3+eAAHXky=F07$$\"3kmm;>K'*)\\\"F0$\"3q\"pNEfMX/#F07$$\"3/++] Kd,\"e\"F0$\"3KDGdWTI;AF07$$\"3gmm;fX(em\"F0$\"3Q\"404Y[RR#F07$$\"3!** ***\\U7Y]mpI-rDF07$$\"3QLLLV!pu$=F0$\"3eLW+qg;`FF07$$\"3om mmhb59>F0$\"3P;'[Qs(f8HF07$$\"3#*******H,Q+?F0$\"39+L%zw0U4$F07$$\"3)* ******\\*3q3#F0$\"3-+&>gSbbF$F07$$\"3?+++q=\\q@F0$\"3E+nd&Q>.X$F07$$\" 3mmm;fBIYAF0$\"30#4.<#=-4OF07$$\"30LLLj$[kL#F0$\"3#Gj&GoVt(z$F07$$\"3? LLL`Q\"GT#F0$\"3KLlq[')fdRF07$$\"3o****\\s]k,DF0$\"39CAA6)eN9%F07$$\"3 #HLLLvv-e#F0$\"3IKbyk];3VF07$$\"33++]sgamEF0$\"3cCAj8Uw)[%F07$$\"3!)** **\\t,%[F07$$\"3JLL$e DBJ\"HF0$\"3TdS*\\N^\\+&F07$$\"3immmTc-)*HF0$\"33;9_eoo#=&F07$$\"3Mmm; f`@'3$F0$\"3Y\"4L]4/tO&F07$$\"3y****\\nZ)H;$F0$\"3cu@8UR,GbF07$$\"3Ymm mJy*eC$F0$\"3y;$*yz\\e,dF07$$\"3')******R^bJLF0$\"3o*RFc%3!4)eF07$$\"3 f*****\\5a`T$F0$\"3i\\![pVEj0'F07$$\"3o****\\7RV'\\$F0$\"31Cmw;(fgA'F0 7$$\"3k*****\\@fke$F0$\"3O\\JF&e>XT'F07$$\"3/LLL`4NnOF0$\"3'>`<#f\"fQe 'F07$$\"3#*******\\,s`PF0$\"31*\\6#*HlYw'F07$$\"3[mm;zM)>$QF0$\"3I\"HA ^`-&GpF07$$\"3$*******pfaw5(F07$$\"3#HLLeg`!)*RF0$\" 3#pb()*)RbhF(F07$$\"3w****\\#G2A3%F0$\"3!QKesaBBX(F07$$\"3;LLL$)G[kTF0 $\"3GK))z7,cCwF07$$\"3#)****\\7yh]UF0$\"3kCc'[$e([!yF07$$\"3Kmmm')fdLV F0$\"31myC18ayzF07$$\"36mmm,FT=WF0$\"3U9gzL$Rh:)F07$$\"3FLL$e#pa-XF0$ \"3*pv3+wmAL)F07$$\"3!*******Rv&)zXF0$\"3++9\"Gd4T\\)F07$$\"3%GLL$GUYo YF0$\"3q#GN-q*fz')F07$$\"33mmm1^rZZF0$\"3![1Z9G/b%))F07$$\"34++]sI@K[F 0$\"3pCA5oJRA!*F07$$\"34++]2%)38\\F0$\"3IuX9.%)p\">*F07$$\"\"&F*$\"3'* *********ROP*F0F`\\l-%%TEXTG6'7$$\"'YV8!\"&$\"\"$!\"\"Q$.096\"%+ALIGNA BOVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#5-Fc\\m6'7$$\"'YV6Fh\\m$ \"'#y4\"Fh\\mQ2f(x~+~.09)~-~f(x)F]]m%+ALIGNRIGHTGF`\\lF_]m-Fc\\m6(7$$ \"$:\"!\"#$\"#oF[]mQ!F]]mF]^m%+ALIGNBELOWGF`\\lF_]m-Fc\\m6'7$$Fg[lF[]m $\"#lF[]mFf^mF]^mF`\\lF_]m-Fc\\m6(7$F[_m$\"#bF[]mF\\^mF^]mF]^mF`\\lF_] m-Fc\\m6(7$$\"\"#F[]m$\"#`F[]mFf^mF]^mFg^mF`\\lF_]m-Fc\\m6(7$$\"\")F[] m$\"$N&Fc^mFf^mF]^mFg^mF`\\lF_]m-F$6%7$7$$\"3G+++++++]Fbr$\"3;+++++++_ F07$$\"3!***************=F0Fg`mF`\\lFd[l-Fc\\m6'7$$Fd]mF[]m$\"#^F[]mF \\]mFg^mF`\\lF_]m-Fc\\m6&7$F_am$!#5F[]mQ&x~=~1F]]mF\\[lF_]m-Fc\\m6$7$F `[lF`[lFf^m-F$6%7$7$F`[lF\\\\lF[\\lF\\[l-Fe[l6#Fj\\m-F$6%7$7$F\\\\lF`[ lF[\\lF\\[lF_bm-F$6%7$7$F`[lFj\\lFi\\lF`\\lF_bm-F$6%7$7$F^\\lF`[lF]\\l F`\\lF_bm-%&TITLEG6$%5Slope~of~Secant~LineGF_]m-%+AXESLABELSG6%%!GFdcm -F`]m6#Fc]m-%*AXESTICKSG6$\"\"%Fjcm-%%VIEWG6$;F($\"#MF[]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Cur ve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Cur ve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15 " "Curve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20" }}}{PARA 13 " " 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"! $\"\"*F*7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp 3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBx gF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t %[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$ !3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F0 7$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F0 7$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U( Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[o NFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR 76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32 cxL&)yiFfp$\" 3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YF fp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o***** RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3 j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH \"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$ F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\" RPj5!#;7$$\"3!**************R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$ RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l 7$$\"3-+++++*y2\"F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd [l-F$6%7$F]\\l7$F^\\l$\"31+++++&=;\"F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lF d[l-F$6$7S7$F\\\\l$\"2y***************F07$$\"3mmmm;')=(3\"F0$\"3Cm,BU= <\"=\"F07$$\"3WLL$e'40j6F0$\"3]eSV$\\3)Q8F07$$\"3ommm6hO[7F0$\"3@;bT%R (3;:F07$$\"3xmmm\"yYUL\"F0$\"3k;'G]TTXp\"F07$$\"3CLL$eF>(>9F0$\"3)zNK[ FZ@(=F07$$\"3kmm;>K'*)\\\"F0$\"3A\"*H+U1\"o.#F07$$\"3/++]Kd,\"e\"F0$\" 3lCP.@+J2AF07$$\"3gmm;fX(em\"F0$\"3#4>HFsSOQ#F07$$\"3!*****\\U7Y]F0$\"3 ;;SvptW**GF07$$\"3#*******H,Q+?F0$\"3a**3`$))>(yIF07$$\"3)*******\\*3q 3#F0$\"3I*\\tu]G(eKF07$$\"3?+++q=\\q@F0$\"3;+\"H9<+AV$F07$$\"3mmm;fBIY AF0$\"37\">$=h!H(*e$F07$$\"30LLLj$[kL#F0$\"3/K7iZh/xPF07$$\"3?LLL`Q\"G T#F0$\"3QKpD!HGd$RF07$$\"3o****\\s]k,DF0$\"3BB**\\XLJ?TF07$$\"3#HLLLvv -e#F0$\"3yJR7'R-PG%F07$$\"33++]sgamEF0$\"3sC*H/3mHY%F07$$\"3!)****\\e%oBlx6[F07$$\"3JLL$eDBJ\" HF0$\"3odP*p?O`(\\F07$$\"3immmTc-)*HF0$\"3m:%)e@uv^^F07$$\"3Mmm;f`@'3$ F0$\"3_!>t7[4]L&F07$$\"3y****\\nZ)H;$F0$\"37u7$z$4`%\\&F07$$\"3YmmmJy* eC$F0$\"3+:^N\"[=om&F07$$\"3')******R^bJLF0$\"34*>g?P3[%eF07$$\"3f**** *\\5a`T$F0$\"30[ESbn$*=gF07$$\"3o****\\7RV'\\$F0$\"3oB6!)>\\T(='F07$$ \"3k*****\\@fke$F0$\"3g[\\i'>\"[ujF07$$\"3/LLL`4NnOF0$\"3dJ*fkcoDa'F07 $$\"3#*******\\,s`PF0$\"3n)\\*G6x.AnF07$$\"3[mm;zM)>$QF0$\"3q!zk3VjY)o F07$$\"3$*******pfa#4yLpQ%)F07$$\"3%GLL$GUYoYF0$\"30# o!)R(=\"Gi)F07$$\"33mmm1^rZZF0$\"3Ekef^'*[(y)F07$$\"34++]sI@K[F0$\"3EB *R(402j*)F07$$\"34++]2%)38\\F0$\"3]ukf%zB68*F07$$\"\"&F*$\"3L********* >$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F 07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$! 3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$ !3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL, 6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+ ++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OL LLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$! 3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$ !3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$ $!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yi Ffp$\"3uQ(=z( *QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3> Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(F fp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(***** *fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$ \"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$ \"3PmmmmNF0$\"3T]ynAX\"3t$F07$$ \"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5 !#;7$$\"3!**************R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG $F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$ \"3-+++++\"\\1\"F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[ l-F$6%7$F]\\l7$F^\\l$\"34+++++.M6F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l -F$6$7SF[\\l7$$\"3mmmm;')=(3\"F0$\"3YL.,(GK+=\"F07$$\"3WLL$e'40j6F0$\" 31<1J(>9F0$\"3G;s*Qahm'=F07$$\"3kmm;>K'*)\\\"F0$ \"3=$[GF>*GI?F07$$\"3/++]Kd,\"e\"F0$\"3')\\*4a9;(*>#F07$$\"3gmm;fX(em \"F0$\"31$)3CUx$\\P#F07$$\"3!*****\\U7Y]F0$\"3CLI15+]()GF07$$\"3#*** ****H,Q+?F0$\"3%**zJ_\"\\klIF07$$\"3)*******\\*3q3#F0$\"3%***p\\+8_WKF 07$$\"3?+++q=\\q@F0$\"3u+#)oU=!pT$F07$$\"3mmm;fBIYAF0$\"3Y$))[$*))RMd$ F07$$\"30LLLj$[kL#F0$\"3!fY7vwy&fPF07$$\"3?LLL`Q\"GT#F0$\"3\\mQ>8GE[IE%F0 7$$\"33++]sgamEF0$\"3-]BEBV=TWF07$$\"3!)****\\$QF0$\"3A$3#z1%\\w%oF07$$\"3$*******pfa9;(RKCqF07$$\"3#HLLeg`!)*RF0$\"3)e,T&o4c!>(F07$$\"3w****\\#G2 A3%F0$\"31]HMHlKktF07$$\"3;LLL$)G[kTF0$\"3Em'zk79U`(F07$$\"3#)****\\7y h]UF0$\"34\\(=jpq?r(F07$$\"3Kmmm')fdLVF0$\"3!>`G=rnL)yF07$$\"36mmm,FT= WF0$\"3uKM;^Oae!)F07$$\"3FLL$e#pa-XF0$\"31R)F07$$\"3%GLL$GUYoYF0$\"3%\\O;l/l[d)F07$$\"33mmm1^r ZZF0$\"3cK<::q]Q()F07$$\"34++]sI@K[F0$\"3$*\\B)[[$)H\"*)F07$$\"34++]2% )38\\F0$\"3/]/6H(z*z!*F07$$\"\"&F*$\"3o*********R%f#*F0F`\\l-%%TEXTG6' 7$$\"'\"\\J\"!\"&$\"\"$!\"\"Q$.066\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELV ETICAG%(DEFAULTG\"#5-Fc\\m6'7$$\"'\"\\6\"Fh\\m$\"'-n5Fh\\mQ2f(x~+~.06) ~-~f(x)F]]m%+ALIGNRIGHTGF`\\lF_]m-Fc\\m6(7$$\"$:\"!\"#$\"#oF[]mQ!F]]mF ]^m%+ALIGNBELOWGF`\\lF_]m-Fc\\m6'7$$Fg[lF[]m$\"#lF[]mFf^mF]^mF`\\lF_]m -Fc\\m6(7$F[_m$\"#bF[]mF\\^mF^]mF]^mF`\\lF_]m-Fc\\m6(7$$\"\"#F[]m$\"#` F[]mFf^mF]^mFg^mF`\\lF_]m-Fc\\m6(7$$\"\")F[]m$\"$N&Fc^mFf^mF]^mFg^mF` \\lF_]m-F$6%7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!***************= F0Fg`mF`\\lFd[l-Fc\\m6'7$$Fd]mF[]m$\"#^F[]mF\\]mFg^mF`\\lF_]m-Fc\\m6&7 $F_am$!#5F[]mQ&x~=~1F]]mF\\[lF_]m-Fc\\m6$7$F`[lF`[lFf^m-F$6%7$7$F`[lF \\\\lF[\\lF\\[l-Fe[l6#Fj\\m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lF_bm-F$6%7$7$F `[lFj\\lFi\\lF`\\lF_bm-F$6%7$7$F^\\lF`[lF]\\lF`\\lF_bm-%&TITLEG6$%5Slo pe~of~Secant~LineGF_]m-%+AXESLABELSG6%%!GFdcm-F`]m6#Fc]m-%*AXESTICKSG6 $\"\"%Fjcm-%%VIEWG6$;F($\"#MF[]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve \+ 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17 " "Curve 18" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#) \\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh -EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GB F0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0 $\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33Eq M\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\" 3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$ \"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(F fp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFf p$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p' 3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\" 3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7 $$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8 O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\" 3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F 0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!****** ********R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*+++ +\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"3)***********3a 5F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$ F^\\l$\"3/+++++666F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7SF[\\l7$$ \"3mmmm;')=(3\"F0$\"3wm\")pS-5z6F07$$\"3WLL$e'40j6F0$\"3[ee[-W$\\L\"F0 7$$\"3ommm6hO[7F0$\"3Z;Bg:i=5:F07$$\"3xmmm\"yYUL\"F0$\"3y;i\\6(*f'o\"F 07$$\"3CLL$eF>(>9F0$\"3%zbQ[uu@'=F07$$\"3kmm;>K'*)\\\"F0$\"3b\"f:fFb\\ -#F07$$\"3/++]Kd,\"e\"F0$\"3'\\_Hs30N>#F07$$\"3gmm;fX(em\"F0$\"3]\"R.K a>yO#F07$$\"3!*****\\U7Y]F0$\"3#p\")3;AGx(GF07$$\"3#*******H,Q+?F0$\"3 y*4U;&3&\\0$F07$$\"3)*******\\*3q3#F0$\"3T+:#[<,HB$F07$$\"3?+++q=\\q@F 0$\"3\"4!zf%G*Q/MF07$$\"3mmm;fBIYAF0$\"3#=RHr\"p6gNF07$$\"30LLLj$[kL#F 0$\"3!HV3X8#HXPF07$$\"3?LLL`Q\"GT#F0$\"3`L<5L)f@!RF07$$\"3o****\\s]k,D F0$\"3KCtdeUj%3%F07$$\"3#HLLLvv-e#F0$\"3AKZAW]:YUF07$$\"33++]sgamEF0$ \"3'[KZd%*oLU%F07$$\"3!)****\\J4>oZF07$$\"3JLL$eDBJ\"HF0$\"3Ye^V)R!))H\\F07$$\"3immmTc-)*HF 0$\"3_;CMKVG/^F07$$\"3Mmm;f`@'3$F0$\"3o!RRV+TaG&F07$$\"3y****\\nZ)H;$F 0$\"33va&)>%QJW&F07$$\"3YmmmJy*eC$F0$\"3m;Z()[fX8cF07$$\"3')******R^bJ LF0$\"3u*zL>i5%*y&F07$$\"3f*****\\5a`T$F0$\"3)*[y'=%zahfF07$$\"3o**** \\7RV'\\$F0$\"3eC,/]'*4GhF07$$\"3k*****\\@fke$F0$\"3W\\lnDp-8jF07$$\"3 /LLL`4NnOF0$\"3cK(3yI#>zkF07$$\"3#*******\\,s`PF0$\"3#**\\D0K4ml'F07$$ \"3[mm;zM)>$QF0$\"3P\"z*R.bP0a8$*pF0 7$$\"3#HLLeg`!)*RF0$\"3ycY\\v<^erF07$$\"3w****\\#G2A3%F0$\"3CDI\\LxPJt F07$$\"3;LLL$)G[kTF0$\"3MKoX/eQ+vF07$$\"3#)****\\7yh]UF0$\"3!R7.>f@tn( F07$$\"3Kmmm')fdLVF0$\"3Mm5`%yJx%yF07$$\"36mmm,FT=WF0$\"3L:EQ>3+A!)F07 $$\"3FLL$e#pa-XF0$\"3!y0R'=o#[>)F07$$\"3!*******Rv&)zXF0$\"3a,=%H'fj`$ )F07$$\"3%GLL$GUYoYF0$\"3B$[:R;\\c`)F07$$\"33mmm1^rZZF0$\"3=m9mSRW)p)F 07$$\"34++]sI@K[F0$\"3/Et8Fr,s))F07$$\"34++]2%)38\\F0$\"31wU.9)[\"Q!*F 07$$\"\"&F*$\"3@+++++o;#*F0F`\\l-%%TEXTG6'7$$\"'4/8!\"&$\"\"$!\"\"Q$.0 56\"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#5-Fc\\m6'7$$ \"'4/6Fh\\m$\"'cb5Fh\\mQ2f(x~+~.05)~-~f(x)F]]m%+ALIGNRIGHTGF`\\lF_]m-F c\\m6(7$$\"$:\"!\"#$\"#oF[]mQ!F]]mF]^m%+ALIGNBELOWGF`\\lF_]m-Fc\\m6'7$ $Fg[lF[]m$\"#lF[]mFf^mF]^mF`\\lF_]m-Fc\\m6(7$F[_m$\"#bF[]mF\\^mF^]mF]^ mF`\\lF_]m-Fc\\m6(7$$\"\"#F[]m$\"#`F[]mFf^mF]^mFg^mF`\\lF_]m-Fc\\m6(7$ $\"\")F[]m$\"$N&Fc^mFf^mF]^mFg^mF`\\lF_]m-F$6%7$7$$\"3G+++++++]Fbr$\"3 ;+++++++_F07$$\"3!***************=F0Fg`mF`\\lFd[l-Fc\\m6'7$$Fd]mF[]m$ \"#^F[]mF\\]mFg^mF`\\lF_]m-Fc\\m6&7$F_am$!#5F[]mQ&x~=~1F]]mF\\[lF_]m-F c\\m6$7$F`[lF`[lFf^m-F$6%7$7$F`[lF\\\\lF[\\lF\\[l-Fe[l6#Fj\\m-F$6%7$7$ F\\\\lF`[lF[\\lF\\[lF_bm-F$6%7$7$F`[lFj\\lFi\\lF`\\lF_bm-F$6%7$7$F^\\l F`[lF]\\lF`\\lF_bm-%&TITLEG6$%5Slope~of~Secant~LineGF_]m-%+AXESLABELSG 6%%!GFdcm-F`]m6#Fc]m-%*AXESTICKSG6$\"\"%Fjcm-%%VIEWG6$;F($\"#MF[]m;F($ \"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curv e 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curv e 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20" }}} {PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$ $!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RF F0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\" 3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\" 3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mE WWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4( p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WS l\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3m VC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\" 3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$ \"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK% \\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P* *****ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$ $\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0Nv uuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\" 35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$ \"3%)=5;,F07$$\"3PmmmmNF0$\"3 T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0 $\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))***********f:\"Ffz-%' COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$F g[lF*F\\\\l7$$\"3%**********p]/\"F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb \\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$\"33+++++<#4\"F0F`\\lFd[l-F$6%7 $F[\\lFi\\lF`\\lFd[l-F$6$7S7$F\\\\l$\"3A+++++++5F07$$\"3mmmm;')=(3\"F0 $\"3A+!G'3UIy6F07$$\"3WLL$e'40j6F0$\"3^+y;ZdWL8F07$$\"3ommm6hO[7F0$\"3 F+G+L'=z]\"F07$$\"3xmmm\"yYUL\"F0$\"3k+'z$Q![No\"F07$$\"3CLL$eF>(>9F0$ \"3%**>]yqU$e=F07$$\"3kmm;>K'*)\\\"F0$\"3C+YsT(*R??F07$$\"3/++]Kd,\"e \"F0$\"31+=f8/?)=#F07$$\"3gmm;fX(em\"F0$\"3#**>y%3,uhBF07$$\"3!*****\\ U7Y]i$fKsMDF07$$\"3QLLLV!pu$=F0$\"3$4SyBpdEr#F07$$\"3ommmhb5 9>F0$\"3#3!3$yV#QpGF07$$\"3#*******H,Q+?F0$\"3G+_0\"Q^4O!4LPF07$$\"3?L LL`Q\"GT#F0$\"3'**z?E%3E*)QF07$$\"3o****\\s]k,DF0$\"3C*Rl!RU#42%F07$$ \"3#HLLLvv-e#F0$\"31*z'fErsJUF07$$\"33++]sgamEF0$\"3#4S0,Q`\"3WF07$$\" 3!)****\\?Y*G:wXF07$$\"3;LLLe/TMGF0$\"33++rjFW^ZF07$$\"3 JLL$eDBJ\"HF0$\"3o+%4Je8C\"\\F07$$\"3immmTc-)*HF0$\"3k+SBeB/'3&F07$$\" 3Mmm;f`@'3$F0$\"3m*>5\"eQRm_F07$$\"3y****\\nZ)H;$F0$\"3P+#G*o.RBaF07$$ \"3YmmmJy*eC$F0$\"3o*fr;!4&Hf&F07$$\"3')******R^bJLF0$\"3))*f0N_B\"odF 07$$\"3f*****\\5a`T$F0$\"3X*>*))ed\\RfF07$$\"3o****\\7RV'\\$F0$\"35+!> %3sI0hF07$$\"3k*****\\@fke$F0$\"3!)*fVIb7%*G'F07$$\"3/LLL`4NnOF0$\"33+ [g$RR[X'F07$$\"3#*******\\,s`PF0$\"30+gbbyYJmF07$$\"3[mm;zM)>$QF0$\"3c +]B%\\>:z'F07$$\"3$*******pfa$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F 07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$! 3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$ !3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL, 6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+ ++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OL LLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$! 3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$ !3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$ $!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yi Ffp$\"3uQ(=z( *QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3> Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(F fp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(***** *fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$ \"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$ \"3PmmmmNF0$\"3T]ynAX\"3t$F07$$ \"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5 !#;7$$\"3!**************R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG $F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$ \"3/+++++cP5F0F\\\\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$ 6%7$F]\\l7$F^\\l$\"3)**********Hl2\"F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lF d[l-F$6$7SF[\\l7$$\"3mmmm;')=(3\"F0$\"3-+I+%H]w<\"F07$$\"3WLL$e'40j6F0 $\"3S]S#\\'GAK8F07$$\"3ommm6hO[7F0$\"3\")*Hlr)e01:F07$$\"3xmmm\"yYUL\" F0$\"33+r^(=T5o\"F07$$\"3CLL$eF>(>9F0$\"3u\\9G8[>b=F07$$\"3kmm;>K'*)\\ \"F0$\"35]3eF0$\"35+$=hkED'GF07$$\"3#*** ****H,Q+?F0$\"3#**>!3IXJQIF07$$\"3)*******\\*3q3#F0$\"3h**H)f@C[@$F07$ $\"3?+++q=\\q@F0$\"3Q+)*z/S#\\Q$F07$$\"3mmm;fBIYAF0$\"3p\\k*)34RRNF07$ $\"30LLLj$[kL#F0$\"3p*>E#)*p1BPF07$$\"3?LLL`Q\"GT#F0$\"3w*z?(QZmyQF07$ $\"3o****\\s]k,DF0$\"3[\\;-,>mfSF07$$\"3#HLLLvv-e#F0$\"3W*zY%e]()>UF07 $$\"33++]sgamEF0$\"3=];c%GacR%F07$$\"3!)****\\<$)z;2aF07$$\"3YmmmJy*eC$F0$\"3O*4Mzm 1hd&F07$$\"3')******R^bJLF0$\"3E*fb*foj]dF07$$\"3f*****\\5a`T$F0$\"3L* p,Jg!Q@fF07$$\"3o****\\7RV'\\$F0$\"35\\_2aRe'3'F07$$\"3k*****\\@fke$F0 $\"3Y*4J*3T,qiF07$$\"3/LLL`4NnOF0$\"3`*za9EM[V'F07$$\"3#*******\\,s`PF 0$\"3`**4Va\\\"3h'F07$$\"3[mm;zM)>$QF0$\"3o\\79='z-x'F07$$\"3$*******p fahj)F07$$\"34++]sI@K[F0$\"3v\\;uBuG3))F07$$\"34 ++]2%)38\\F0$\"3O\\v\"Q:uI(*)F07$$\"\"&F*$\"3i*********f,:*F0F`\\l-%%T EXTG6'7$$\"'c(G\"!\"&$\"\"$!\"\"Q$.036\"%+ALIGNABOVEGF`\\l-%%FONTG6%%* HELVETICAG%(DEFAULTG\"#5-Fc\\m6'7$$\"'c(3\"Fh\\m$\"'EQ5Fh\\mQ2f(x~+~.0 3)~-~f(x)F]]m%+ALIGNRIGHTGF`\\lF_]m-Fc\\m6(7$$\"$:\"!\"#$\"#oF[]mQ!F]] mF]^m%+ALIGNBELOWGF`\\lF_]m-Fc\\m6'7$$Fg[lF[]m$\"#lF[]mFf^mF]^mF`\\lF_ ]m-Fc\\m6(7$F[_m$\"#bF[]mF\\^mF^]mF]^mF`\\lF_]m-Fc\\m6(7$$\"\"#F[]m$\" #`F[]mFf^mF]^mFg^mF`\\lF_]m-Fc\\m6(7$$\"\")F[]m$\"$N&Fc^mFf^mF]^mFg^mF `\\lF_]m-F$6%7$7$$\"3G+++++++]Fbr$\"3;+++++++_F07$$\"3!*************** =F0Fg`mF`\\lFd[l-Fc\\m6'7$$Fd]mF[]m$\"#^F[]mF\\]mFg^mF`\\lF_]m-Fc\\m6& 7$F_am$!#5F[]mQ&x~=~1F]]mF\\[lF_]m-Fc\\m6$7$F`[lF`[lFf^m-F$6%7$7$F`[lF \\\\lF[\\lF\\[l-Fe[l6#Fj\\m-F$6%7$7$F\\\\lF`[lF[\\lF\\[lF_bm-F$6%7$7$F `[lFj\\lFi\\lF`\\lF_bm-F$6%7$7$F^\\lF`[lF]\\lF`\\lF_bm-%&TITLEG6$%5Slo pe~of~Secant~LineGF_]m-%+AXESLABELSG6%%!GFdcm-F`]m6#Fc]m-%*AXESTICKSG6 $\"\"%Fjcm-%%VIEWG6$;F($\"#MF[]m;F($\"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve \+ 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17 " "Curve 18" "Curve 19" "Curve 20" }}}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6:-%'CURVESG6%7S7$$!\"$\"\"!$\"\"*F*7$$!3ULLL8#) \\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RFF0$\"332bp3*pF](F07$$!3ULLL@Uh -EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\"3a#e*HGkBxgF07$$!3Ymmme\"\\%GB F0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\"3oyx%))o,t%[F07$$!3G+++G[Pq?F0 $\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mEWWwbFF07$$!3FLLL,6VP:F0$\"33Eq M\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4(p^(Q(He>F07$$!39+++!o&yg7F0$\" 3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WSl\"41F\"F07$$!3OLLLDi\"f+\"F0$ \"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3mVC7`$p\\U(Ffp7$$!3?lmmY$y\\R(F fp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\"3UvjM))Q[oNFfp7$$!3eqmmYze:ZFf p$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$\"3@'[)=@yR76Ffp7$$!3d******>p' 3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK%\\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\" 3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P******ziv2YFfp$\"3>Vze$zTJ7#Ffp7 $$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$$\"3'o*****RA)[I(Ffp$\"3OPn-a/8 O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0NvuuFfp7$$\"3j(******fUH%**Ffp$\" 3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\"35XvR*)f!eH\"F07$$\"3aKLLD:wn7F 0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$\"3%)=5;,F07$$\"3PmmmmNF0$\"3T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0$\"3%o=P`\"RPj5!#;7$$\"3!****** ********R$F0$\"3))***********f:\"Ffz-%'COLOURG6&%$RGBG$F*F*F`[l$\"*+++ +\"!\")-%*LINESTYLEG6#\"\"\"-F$6%7$7$$Fg[lF*F\\\\l7$$\"36+++++IJ5F0F\\ \\l-F][l6&F_[l$\")!\\DP\"Fc[lFb\\l$\")viobFc[lFd[l-F$6%7$F]\\l7$F^\\l$ \"3)**********zN1\"F0F`\\lFd[l-F$6%7$F[\\lFi\\lF`\\lFd[l-F$6$7SF[\\l7$ $\"3mmmm;')=(3\"F0$\"3km6#*3r5x6F07$$\"3WLL$e'40j6F0$\"3f3pSdq?J8F07$$ \"3ommm6hO[7F0$\"3\\;'*Gm&3X]\"F07$$\"3xmmm\"yYUL\"F0$\"3#oJn+$)e*y;F0 7$$\"3CLL$eF>(>9F0$\"3#z+$>i*zD&=F07$$\"3kmm;>K'*)\\\"F0$\"3`Tasw*[N,# F07$$\"3/++]Kd,\"e\"F0$\"31vXenIA!=#F07$$\"3gmm;fX(em\"F0$\"3[T3y]wf_B F07$$\"3!*****\\U7Y]W_#F07$$\"3QLLLV!pu$=F0$\"3TLMTU#f6 q#F07$$\"3ommmhb59>F0$\"3Y;\"p%o<$o&GF07$$\"3#*******H,Q+?F0$\"3x*Hq=; #3KIF07$$\"3)*******\\*3q3#F0$\"3I+XA]@03KF07$$\"3?+++q=\\q@F0$\"3a+( \\/%=jxLF07$$\"3mmm;fBIYAF0$\"3&>%))>XkiJNF07$$\"30LLLj$[kL#F0$\"33LE# \\#4u9PF07$$\"3?LLL`Q\"GT#F0$\"3%G`9%3H')pQF07$$\"3o****\\s]k,DF0$\"3) [(*>Al1.0%F07$$\"3#HLLLvv-e#F0$\"3ILN]S*H+@%F07$$\"33++]sgamEF0$\"3+v* HDqr_Q%F07$$\"3!)****\\$3< \"3jDEZF07$$\"3JLL$eDBJ\"HF0$\"3G3o!3SYh)[F07$$\"3immmTc-)*HF0$\"3/;R< m%4'e]F07$$\"3Mmm;f`@'3$F0$\"3VS)G77]xB&F07$$\"3y****\\nZ)H;$F0$\"31C/ 2)e#p$R&F07$$\"3YmmmJy*eC$F0$\"3=;GWCZ6ibF07$$\"3')******R^bJLF0$\"3]* RL9F6ht&F07$$\"3f*****\\5a`T$F0$\"3u[v-ZHL1fF07$$\"3o****\\7RV'\\$F0$ \"3Ou.!3$ QF0$\"3#=/m5OOEv'F07$$\"3$*******pfa/!=F)F07$$\"3%G LL$GUYoYF0$\"3G#yb;2)y^%)F07$$\"33mmm1^rZZF0$\"3_mIKt6x7')F07$$\"34++] sI@K[F0$\"3Kv**HOFT%y)F07$$\"34++]2%)38\\F0$\"3wD)QIh&p[*)F07$$\"\"&F* $\"3!)*********R_7*F0F`\\l-%%TEXTG6'7$$\"'I\"G\"!\"&$\"\"$!\"\"Q$.036 \"%+ALIGNABOVEGF`\\l-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#5-Fc\\m6'7$$\"' I\"3\"Fh\\m$\"'zJ5Fh\\mQ2f(x~+~.03)~-~f(x)F]]m%+ALIGNRIGHTGF`\\lF_]m-F c\\m6(7$$\"$:\"!\"#$\"#oF[]mQ!F]]mF]^m%+ALIGNBELOWGF`\\lF_]m-Fc\\m6'7$ $Fg[lF[]m$\"#lF[]mFf^mF]^mF`\\lF_]m-Fc\\m6(7$F[_m$\"#bF[]mF\\^mF^]mF]^ mF`\\lF_]m-Fc\\m6(7$$\"\"#F[]m$\"#`F[]mFf^mF]^mFg^mF`\\lF_]m-Fc\\m6(7$ $\"\")F[]m$\"$N&Fc^mFf^mF]^mFg^mF`\\lF_]m-F$6%7$7$$\"3G+++++++]Fbr$\"3 ;+++++++_F07$$\"3!***************=F0Fg`mF`\\lFd[l-Fc\\m6'7$$Fd]mF[]m$ \"#^F[]mF\\]mFg^mF`\\lF_]m-Fc\\m6&7$F_am$!#5F[]mQ&x~=~1F]]mF\\[lF_]m-F c\\m6$7$F`[lF`[lFf^m-F$6%7$7$F`[lF\\\\lF[\\lF\\[l-Fe[l6#Fj\\m-F$6%7$7$ F\\\\lF`[lF[\\lF\\[lF_bm-F$6%7$7$F`[lFj\\lFi\\lF`\\lF_bm-F$6%7$7$F^\\l F`[lF]\\lF`\\lF_bm-%&TITLEG6$%5Slope~of~Secant~LineGF_]m-%+AXESLABELSG 6%%!GFdcm-F`]m6#Fc]m-%*AXESTICKSG6$\"\"%Fjcm-%%VIEWG6$;F($\"#MF[]m;F($ \"\"(F*" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curv e 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curv e 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20" }}} {PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "63-%'CURVESG6%7S7$ $!\"$\"\"!$\"\"*F*7$$!3ULLL8#)\\gG!#<$\"3-#>$[G+X#=)F07$$!3[mmma%=\"RF F0$\"332bp3*pF](F07$$!3ULLL@Uh-EF0$\"3?8l3&y+Ox'F07$$!3OLLL\\^?lCF0$\" 3a#e*HGkBxgF07$$!3Ymmme\"\\%GBF0$\"3H2b\\%[v;U&F07$$!3cLLL\\)e;?#F0$\" 3oyx%))o,t%[F07$$!3G+++G[Pq?F0$\"3uIgTG>X'G%F07$$!3RLLL02gM>F0$\"3mE WWwbFF07$$!3FLLL,6VP:F0$\"33EqM\"R%pjBF07$$!3%)*****>z\"R*R\"F0$\"3#4( p^(Q(He>F07$$!39+++!o&yg7F0$\"3%G1$*3`!e*e\"F07$$!3-+++3I@F6F0$\"313WS l\"41F\"F07$$!3OLLLDi\"f+\"F0$\"3ch))Q_u'=,\"F07$$!3Womm'=Eoh)!#=$\"3m VC7`$p\\U(Ffp7$$!3?lmmY$y\\R(Ffp$\"33&)owu/doaFfp7$$!3q+++S)yO(fFfp$\" 3UvjM))Q[oNFfp7$$!3eqmmYze:ZFfp$\"3m)zu#opnBAFfp7$$!3^******RGENLFfp$ \"3@'[)=@yR76Ffp7$$!3d******>p'3-#Ffp$\"3%[G]$3J!R3%!#>7$$!3#*\\mmmmK% \\'Fbr$\"32cxL&)yiFfp$\"3uQ(=z(*QY(QFbr7$$\"3)\\mmmuX%zLFfp$\"3DTjYb`1U6Ffp7$$\"3P* *****ziv2YFfp$\"3>Vze$zTJ7#Ffp7$$\"3%ommmIlV$fFfp$\"3G'*oHf\"p;_$Ffp7$ $\"3'o*****RA)[I(Ffp$\"3OPn-a/8O`Ffp7$$\"3q)*****zcmX')Ffp$\"3'Q)H.0Nv uuFfp7$$\"3j(******fUH%**Ffp$\"3ur%*oa2@'))*Ffp7$$\"3z*****RuM$Q6F0$\" 35XvR*)f!eH\"F07$$\"3aKLLD:wn7F0$\"3$y\\:^G>sg\"F07$$\"3T+++SA&fS\"F0$ \"3%)=5;,F07$$\"3PmmmmNF0$\"3 T]ynAX\"3t$F07$$\"3CLLL8EXT4E$F0 $\"3%o=P`\"RPj5!#;7$$\"3!**************R$F0$\"3))***********f:\"Ffz-%' COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%*LINESTYLEG6#\"\"\"-%%TEXTG6(7 $$\"$:\"!\"#$\"#o!\"\"Q!6\"%+ALIGNRIGHTG%+ALIGNBELOWG-F][l6&F_[l$\")! \\DP\"Fc[lFh\\l$\")viobFc[l-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#5-Fi[l6' 7$$Fg[lFa\\l$\"#lFa\\lFb\\lFd\\lFf\\lF\\]l-Fi[l6$7$F`[lF`[lFb\\l-Fi[l6 (7$$\"\"#Fa\\l$\"$N&F^\\lQ&slopeFc\\lFd\\lFe\\l-F][l6&F_[lFa[lF`[lF`[l F\\]l-Fi[l6(7$$\"\")Fa\\lF`^lQ\"=Fc\\lFd\\lFe\\lFc^lF\\]lFh]l-Fi[l6(7$ $\"$0\"F^\\lF`^lQ#2.Fc\\lFd\\lFe\\lFc^lF\\]l-Fi[l6&7$$Fa]lFa\\l$!#5Fa \\lQ&x~=~1Fc\\lF\\[lF\\]l-F$6$7S7$$!\"%F*$!\"*F*7$$!3ommmmFiDQF0$!3CML LLbC^')F07$$!35LLLo!)*Qn$F0$!3?mmmOhzZ$)F07$$!3nmmmwxE.NF0$!3WKLL`b`1! )F07$$!3YmmmOk]JLF0$!3#HLLL(G,jwF07$$!3_LLL[9cgJF0$!30nmm'*G7@tF07$$!3 smmmhN2-IF0$!3XLLLBr9/qF07$$!3!******\\`oz$GF0$!3!)******pq$fn'F07$$!3 !omm;)3DoEF0$!3fLLLj<]OjF07$$!3?+++:v2*\\#F0$!3Q+++I]:)*fF07$$!3BLLL8> 1DBF0$!3YmmmEQ7]cF07$$!3kmmmw))yr@F0$!3HLLL`xdV`F07$$!3;+++S(R#**>F0$! 3I+++![z%)*\\F07$$!30++++@)f#=F0$!35++++U'>l%F07$$!3-+++gi,f;F0$!3/+++ ?D.=VF07$$!3qmmm\"G&R2:F0$!3SLLLj0z9SF07$$!3XLLLtK5F8F0$!3!pmmma1Ul$F0 7$$!3eLLL$HsV<\"F0$!3=nmm'eW([LF07$$!3+-++]&)4n**Ffp$!3S+++5(>M*HF07$$ !37PLLL\\[%R)Ffp$!3Unmm')p*)yEF07$$!3G)*****\\&y!pmFfp$!3l******4d\"QL #F07$$!3Y******\\O3E]Ffp$!3*)******Hn@0?F07$$!3NKLLL3z6LFfp$!3[mmmm\"e Bm\"F07$$!3sLLL$)[`P(******z-6j'Ffp$\"3Q% ******f0AE$Ffp7$$\"3q\"******4#32$)Ffp$\"3S$)*****>kTh'Ffp7$$\"3r$**** *\\#y'G**Ffp$\"3U()*****\\ct&)*Ffp7$$\"3G******H%=H<\"F0$\"3e)*****fo$ eM\"F07$$\"35mmm1>qM8F0$\"3?KLL8QSp;F07$$\"3%)*******HSu]\"F0$\"3p**** ***f!)[,#F07$$\"3'HLL$ep'Rm\"F0$\"3%fmmm\"R$zK#F07$$\"3')******R>4N=F0 $\"3s******zQ=qEF07$$\"3#emm;@2h*>F0$\"3mJLLBW@#*HF07$$\"3]*****\\c9W; #F0$\"3.******H\"H)GLF07$$\"3Lmmmmd'*GBF0$\"3mKLLL:$zl$F07$$\"3j***** \\iN7]#F0$\"3E******\\7Z-SF07$$\"3aLLLt>:nEF0$\"32nmmYRIMVF07$$\"35LLL .a#o$GF0$\"3?mmm13ltYF07$$\"3ammm^Q40IF0$\"33LLL.x=5]F07$$\"3y******z] rfJF0$\"3d******f,V>`F07$$\"3gmmmc%GpL$F0$\"3?LLL8p&Qn&F07$$\"3/LLL8-V &\\$F0$\"33mmmE/'3*fF07$$\"3=+++XhUkOF0$\"3Q+++!H_)GjF07$$\"3=+++:o " 0 "" {MPLTEXT 1 0 0 "" }}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 9 "Example 1" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1466 "f:=x->x^2:\n`f '`:=D(f):\na:=1:\n`In Example 1 , we approximate the slope of the tangent line to `*'f'(x)=f(x),` at ` *x=a;\n`For the function `*'f'(x)=f(x),x=a,`the six graphs above provi de us with`;\n`the following sequence of approximations to the slope o f the tangent line:`;\n('f'(x+.83)-'f'(x))/`.83`=evalf((f(a+.83)-f(a)) /.83,4),\n('f'(x+.69)-'f'(x))/`.69`=evalf((f(a+.69)-f(a))/.69,4),\n('f '(x+.58)-'f'(x))/`.58`=evalf((f(a+.58)-f(a))/.58,4);\n('f'(x+.40)-'f'( x))/`.40`=evalf((f(a+.40)-f(a))/.40,4),\n('f'(x+.28)-'f'(x))/`.28`=eva lf((f(a+.28)-f(a))/.28,4),\n('f'(x+.04)-'f'(x))/`.04`=evalf((f(a+.04)- f(a))/.04,4)\n;\n`Apparently, if`*'f'(x)=f(x),x=a,`then`,\nLimit(('f'( x+h)-'f'(x))/h,h=0)=limit((f(a+h)-f(a))/h,h=0);\n`Let's see if we can \+ prove this, but first a little algebra:`;\n('f'(x+h)-'f'(x))/h=(f(x+h) -f(x))/h;\n``=(expand(f(x+h))-f(` x`))/h;\n``=(expand(f(x+h))-f(x))/h; \n``=sort(factor((expand(f(x+h))-f(x))/h));\n`So, we have shown that ` ;\nLimit(('f'(x+h)-'f'(x))/h,h=0)=Limit((f(x+h)-f(x))/h,h=0);\nLimit(( 'f'(x+h)-'f'(x))/h,h=0)=Limit(sort(factor((expand(f(x+h))-f(x))/h)),h= 0);\nLimit(('f'(x+h)-'f'(x))/h,h=0)=limit(sort(factor((expand(f(x+h))- f(x))/h)),h=0);\n`Thus, 2 is the slope of the tangent line to `*'f'(x) =f(x), `at`*x=a;\n`Notice that we have found a general formula for the slope`; \n`of the tangent line to `*'f'(x)=f(x),` that works for any \+ x !`;``;\n`Definition of Tangent Slope Function (Derivative): `;\n`ts f(x) = `*`f'`(x)=Limit(('f'(x+h)-'f'(x))/h,h=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&%inIn~Example~1,~we~approximate~the~slope~of~the~tan gent~line~to~G\"\"\"-%\"fG6#%\"xGF&*$)F*\"\"#F&/*&%%~at~GF&F*F&F&" }} {PARA 11 "" 1 "" {XPPMATH 20 "6%/*&%2For~the~function~G\"\"\"-%\"fG6#% \"xGF&*$)F*\"\"#F&/F*F&%Ethe~six~graphs~above~provide~us~withG" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#%eothe~following~sequence~of~approxima tions~to~the~slope~of~the~tangent~line:G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%/*&,&-%\"fG6#,&%\"xG\"\"\"$\"#$)!\"#F+F+-F'6#F*!\"\"F+%$.83GF1$ \"%JG!\"$/*&,&-F'6#,&F*F+$\"#pF.F+F+F/F1F+%$.69GF1$\"%*o#F5/*&,&-F'6#, &F*F+$\"#eF.F+F+F/F1F+%$.58GF1$\"%zDF5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%/*&,&-%\"fG6#,&%\"xG\"\"\"$\"#S!\"#F+F+-F'6#F*!\"\"F+%$.40GF1$\" %+C!\"$/*&,&-F'6#,&F*F+$\"#GF.F+F+F/F1F+%$.28GF1$\"%yAF5/*&,&-F'6#,&F* F+$\"\"%F.F+F+F/F1F+%$.04GF1$\"$0#F." }}{PARA 11 "" 1 "" {XPPMATH 20 " 6&/*&%/Apparently,~ifG\"\"\"-%\"fG6#%\"xGF&*$)F*\"\"#F&/F*F&%%thenG/-% &LimitG6$*&,&-F(6#,&F*F&%\"hGF&F&F'!\"\"F&F9F:/F9\"\"!F-" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#%fnLet's~see~if~we~can~prove~this,~but~first~a~l ittle~algebra:G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*&,&-%\"fG6#,&%\"x G\"\"\"%\"hGF+F+-F'6#F*!\"\"F+F,F/*&,&*$)F)\"\"#F+F+*$)F*F4F+F/F+F,F/ " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%!G*&,**$)%\"xG\"\"#\"\"\"F+*(F*F +F)F+%\"hGF+F+*$)F-F*F+F+*$)%#~xGF*F+!\"\"F+F-F3" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%!G*&,&*(\"\"#\"\"\"%\"xGF)%\"hGF)F)*$)F+F(F)F)F)F+!\" \"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%!G,&*&\"\"#\"\"\"%\"xGF(F(%\"h GF(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%8So,~we~have~shown~that~G" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/-%&LimitG6$*&,&-%\"fG6#,&%\"xG\"\"\"% \"hGF.F.-F*6#F-!\"\"F.F/F2/F/\"\"!-F%6$*&,&*$)F,\"\"#F.F.*$)F-F;F.F2F. F/F2F3" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%&LimitG6$*&,&-%\"fG6#,&% \"xG\"\"\"%\"hGF.F.-F*6#F-!\"\"F.F/F2/F/\"\"!-F%6$,&*&\"\"#F.F-F.F.F/F .F3" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%&LimitG6$*&,&-%\"fG6#,&%\"xG \"\"\"%\"hGF.F.-F*6#F-!\"\"F.F/F2/F/\"\"!,$*&\"\"#F.F-F.F." }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&%MThus,~2~is~the~slope~of~the~tangent~lin e~to~G\"\"\"-%\"fG6#%\"xGF&*$)F*\"\"#F&/*&%#atGF&F*F&F&" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#%ZNotice~that~we~have~found~a~general~formula~fo r~the~slopeG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&%8of~the~tangent~li ne~to~G\"\"\"-%\"fG6#%\"xGF&*$)F*\"\"#F&%8~that~works~for~any~x~!G" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#%!G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #%UDefinition~of~Tangent~Slope~Function~(Derivative):~~G" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#/*&%*tsf(x)~=~G\"\"\"-%#f'G6#%\"xGF&-%&LimitG6$* &,&-%\"fG6#,&F*F&%\"hGF&F&-F1F)!\"\"F&F4F6/F4\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT 265 9 "E xercises" }{TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" } {TEXT 266 11 "Exercise 1." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 137 "n:=1: \nf:=x->x^3:\n``||n||`. `*'f'(x)=f(x),`f'`(x)=Limit(('f'(x+h)-'f'(x))/ h,h=0);\n`So, to get started f'`(x)=Limit((f(x+h)-f(x))/h,h=0);\n" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$/*&%$1.~G\"\"\"-%\"fG6#%\"xGF&*$)F*\" \"$F&/-%#f'GF)-%&LimitG6$*&,&-F(6#,&F*F&%\"hGF&F&F'!\"\"F&F9F:/F9\"\"! " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%7So,~to~get~started~~f'G6#%\"xG -%&LimitG6$*&,&*$),&F'\"\"\"%\"hGF0\"\"$F0F0*$)F'F2F0!\"\"F0F1F5/F1\" \"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " " 0 "" {TEXT 267 11 "Exercise 2." }{TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 142 "n:=2:\nf:=x->x^3-x:\n``||n||`. `*'f'(x)=f(x),`f'`(x) =Limit(('f'(x+h)-'f'(x))/h,h=0);\n`So, to get started f'`(x)=Limit((f (x+h)-f(` x`))/h,h=0);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&%$2.~G \"\"\"-%\"fG6#%\"xGF&,&*$)F*\"\"$F&F&F*!\"\"/-%#f'GF)-%&LimitG6$*&,&-F (6#,&F*F&%\"hGF&F&F'F/F&F;F//F;\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#/-%7So,~to~get~started~~f'G6#%\"xG-%&LimitG6$*&,,*$),&F'\"\"\"%\"hGF 0\"\"$F0F0F'!\"\"F1F3*$)%#~xGF2F0F3F6F0F0F1F3/F1\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 268 11 "Exercise 3." }{TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 147 "n:=3:\nf:=x->-x^3+3*x+2:\n``||n||`. `*'f'(x)=f(x),`f'`(x)=Limit(( 'f'(x+h)-'f'(x))/h,h=0);\n`So, to get started f'`(x)=Limit((f(x+h)-f( ` x`))/h,h=0);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&%$3.~G\"\"\"-% \"fG6#%\"xGF&,(*$)F*\"\"$F&!\"\"*&F.F&F*F&F&\"\"#F&/-%#f'GF)-%&LimitG6 $*&,&-F(6#,&F*F&%\"hGF&F&F'F/F&F=F//F=\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%7So,~to~get~started~~f'G6#%\"xG-%&LimitG6$*&,,*$),&F '\"\"\"%\"hGF0\"\"$F0!\"\"*&F2F0F'F0F0*&F2F0F1F0F0*$)%#~xGF2F0F0*&F2F0 F8F0F3F0F1F3/F1\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} }{EXCHG {PARA 0 "" 0 "" {TEXT 269 11 "Exercise 4." }{TEXT -1 0 "" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 350 "n:=4:\nf:=x->-x^3+3*x+2:\n``||n||` . Let`,'f'(x)=f(x),`then using the tangent slope function`;\n`found in Exercise 3 above, find the equation of the tangent line`;\n`to the cu rve below at each of the following values:`;\n x = -2, -1.6, -1, 0, 1, 1.6, 2;`Also, accurately sketch each tangent line on the plot below.` ;\n\nplot(f(x),x=-3..3,y=-4..8,color=blue);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%%'4.~LetG/-%\"fG6#%\"xG,(*$)F(\"\"$\"\"\"!\"\"*&F,F-F(F -F-\"\"#F-%Fthen~using~the~tangent~slope~functionG" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#%[ofound~in~Exercise~3~above,~find~the~equation~of~th e~tangent~lineG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%Tto~the~curve~belo w~at~each~of~the~following~values:G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 )/%\"xG!\"#$!#;!\"\"F(\"\"!\"\"\"$\"#;F(\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%gnAlso,~accurately~sketch~each~tangent~line~on~the~plo t~below.G" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6&-%' CURVESG6#7S7$$!\"$\"\"!$\"#?F*7$$!3!******\\2<#pG!#<$\"3Bo2uU5H,`1QXuD&F0 7$$!3*****\\7;)=,?F0$\"3%eH!HB>q5SF07$$!3/++DO\"3V(=F0$\"3sQ*zz:y:'HF0 7$$!3#******\\V'zVr?F07$$!3******\\d;%)G;F0$\"39jWd'y& *\\V\"F07$$!3!******\\!)H%*\\\"F0$\"3-z8:;BjG()!#=7$$!3/+++vl[p8F0$\"3 2glMhT.+YFeo7$$!3\"******\\>iUC\"F0$\"3L2Z$=Cdc$>Feo7$$!3-++DhkaI6F0$ \"3LM7]%y&>N`!#>7$$!3s******\\XF`**Feo$\"3_(eGmh,'Rl!#A7$$!3u*******># z2))Feo$\"3i&RQUtAY4%Fep7$$!3S++]7RKvuFeo$\"31z*z\">UF^F07$ $\"3]****\\(QIKH\"Feo$\"31ixwfi!eQ#F07$$\"38****\\7:xWCFeo$\"3\\QS&*z# >)=FF07$$\"3E,++vuY)o$Feo$\"31\">X&3%fj0$F07$$\"3!z******4FL(\\Feo$\"3 ?ZB#[%z)*oLF07$$\"3A)****\\d6.B'Feo$\"3)4h(HCGDFOF07$$\"3s****\\(o3lW( Feo$\"3'Hiy&Q+/@QF07$$\"35*****\\A))oz)Feo$\"3MRJYRrJeRF07$$\"3e****** Hk-,5F0$\"39hHCQo****RF07$$\"36+++D-eI6F0$\"3E*>;c')>m%RF07$$\"3u***\\ (=_(zC\"F0$\"3A'yQEXw-!QF07$$\"3M+++b*=jP\"F0$\"3U4/zj$f=_$F07$$\"3g** *\\(3/3(\\\"F0$\"3ZL`,M,\"f8$F07$$\"33++vB4JB;F0$\"3_(H;P*QG#f#F07$$\" 3u*****\\KCnu\"F0$\"39VaYTp$3\">F07$$\"3s***\\(=n#f(=F0$\"3VQZ%GY/i-\" F07$$\"3P+++!)RO+?F0$!3Gtj'o$\\hwKFbs7$$\"30++]_!>w7#F0$!3!fk07pp$[7F0 7$$\"3O++v)Q?QD#F0$!3au%*RiXG(o#F07$$\"3G+++5jypBF0$!3%[8u&oN4*>%F07$$ \"3<++]Ujp-DF0$!33,(\\4%>_nhF07$$\"3++++gEd@EF0$!3%[2@cc:C:)F07$$\"39+ +v3'>$[FF0$!3]Rn\")e:Q^5F37$$\"37++D6EjpGF0$!35=Y^*y#>-8F37$$\"\"$F*$F 3F*-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-%+AXESLABELSG6$Q\"x6\"Q\" yFh[l-%%VIEWG6$;F(Fiz;$!\"%F*$\"\")F*" 1 2 0 1 10 0 2 6 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2755 "res tart:\nwith(plottools):\nn:=2: # Exercise num ber\nntxt:=convert(n,symbol):\n # Define function f here below\n#f:=unapply(piecewise(x<-2,2*x+9,-2u%G!#<$\"3c%pA7+;io#!#: 7$$!3Ym;z43m9FF0$\"37m;(Qll\\^#F37$$!3;LLe/$f`c#F0$\"3k)H\"pfY6HBF37$$ !3PLL3K\"o]T#F0$\"3=]+01fB\\@F37$$!3]m;Hn7\\lAF0$\"3uMY1;')Qx>F37$$!3W L$ekO9o7#F0$\"3X.J[U+YC=F37$$!3#***\\7oCA$)>F0$\"3UI@a/kfs;F37$$!3Z$=F0$\"3Y!eqT7zC_\"F37$$!3++]iDGp'o\"F0$\"3uvBLgj')z8F37$$!3Zmm;u \"HW`\"F0$\"31u?:Kt[S7F37$$!3?LL3n_J+9F0$\"3)**f*Qit'Q7\"F37$$!3q**** \\sZL\\7F0$\"3++U/)))yY***!#;7$$!3#*****\\PVt(4\"F0$\"3<-D;J/(*=))Feo7 $$!3^)****\\F#R;&*!#=$\"3Ouo!4YWbv(Feo7$$!3]KLe9(3(*=)F^p$\"3#y))3ruC! \\oFeo7$$!3'[mm;k`@h'F^p$\"3\\dF;p1RWeFeo7$$!3Sjmmmvvv_F^p$\"399D584kb ]Feo7$$!3(*)**\\7B67s$F^p$\"3#zHT45V+@%Feo7$$!3?nmm;V$\"35d$\\@&\\MXGFeo7$$\"3qa+]i!o<-'F]r$\"3' \\w&*z9J\\E#Feo7$$\"3(pLL3-$=-@F^p$\"3&\\%f\"pcL)H+]7VLA&yF^p$\"3k?WT_uFcMF07$$\"3jpm;a?@.$* F^p$\"3VX+I2D6N;F07$$\"3)******\\\\@-3\"F0$\"3F0cg@&e>h%F^p7$$\"3Q++v$ opoA\"F0$\"3AT**>xW=g&)!#?7$$\"3c+](oMf(o8F0$\"3'GFG_>0mD#F^p7$$\"3#)* **\\ii.j_\"F0$\"3a$Ri?5*\\@7F07$$\"3%GLL$oT'ym\"F0$\"3#o_I3TnPz#F07$$ \"3'3++DE5!>=F0$\"3Y=^GhGO!=&F07$$\"3Mm;a)3rf&>F0$\"3c%G2d%GKuzF07$$\" 3*4++vW0d5#F0$\"3?$))41!4dr6Feo7$$\"3;L$3-\"QfYAF0$\"3/,H2c(=\"*e\"Feo 7$$\"3C+]PWF'QR#F0$\"3Mr0vk^Z$4#Feo7$$\"3[LL$e/Xy`#F0$\"3CPRKz<4ED7J$Feo7$$\"3%ymmm(zvLGF0$\"3Aw%[e#HE8S Feo7$$\"3-nm\"zAAA)HF0$\"38I<-b,&4![Feo7$$\"3LM$3-7d%HJF0$\"3q))Gs1Xx^ cFeo7$$\"3#4++]p]ZE$F0$\"3eyZ!3e_Z\\'Feo7$$\"3$QL$e*R7)>MF0$\"3!o$p,ft $H`(Feo7$$\"3'pmmmV,&eNF0$\"3+/t%H@'oE&)Feo7$$\"3<+](o(GP1PF0$\"3)GY&R O$GSl*Feo7$$\"3g+]78Z!z%QF0$\"3kMjvBu&)z5F37$$\"\"%F*$\"$@\"F*-%'COLOU RG6&%$RGBG$F*F*Fa[l$\"*++++\"!\")-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLAB ELSG6%%!GF\\\\l-%%FONTG6#%(DEFAULTG-%%VIEWG6$;F(Fiz;$!\"\"F*$\"#5F*" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" }}} {PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG*$),&\"\"&\"\"\"*&\"\"%F ,F'F,!\"\"\"\"#F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%!G" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#%UCompute~the~following~limits~and~fill~in~the~b lanks:G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%!G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&/-%&LimitG6%-%\"fG6#%\"xG/F*!\"#%%leftG%&____~G/-F%6%F' F+%&rightGF./-F%6$F'F+F./-F(6#F,%%____G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%!G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&/-%&LimitG6%-%\"fG6#%\"xG /F*!\"\"%%leftG%&____~G/-F%6%F'F+%&rightGF./-F%6$F'F+F./-F(6#F,%%____G " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%!G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&/-%&LimitG6%-%\"fG6#%\"xG/F*\"\"!%%leftG%&____~G/-F%6%F'F+%&righ tGF./-F%6$F'F+F./-F(6#F,%%____G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%!G " }}{PARA 11 "" 1 "" {XPPMATH 20 "6&/-%&LimitG6%-%\"fG6#%\"xG/F*\"\"\" %%leftG%&____~G/-F%6%F'F+%&rightGF./-F%6$F'F+F./-F(6#F,%%____G" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#%!G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 &/-%&LimitG6%-%\"fG6#%\"xG/F*\"\"#%%leftG%&____~G/-F%6%F'F+%&rightGF./ -F%6$F'F+F./-F(6#F,%%____G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%!G" }} {PARA 11 "" 1 "" {XPPMATH 20 "6&/-%&LimitG6%-%\"fG6#%\"xG/F*\"\"$%%lef tG%&____~G/-F%6%F'F+%&rightGF./-F%6$F'F+F./-F(6#F,%%____G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%!G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 37 " _____________________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 33 "Filename: ExploreCalc03TexPdf.mws" }} {PARA 0 "" 0 "" {TEXT -1 36 "Copyright 2005, All Rights Reserved." }} {PARA 0 "" 0 "" {TEXT -1 44 "Permission is granted to use and modify f or " }}{PARA 0 "" 0 "" {TEXT -1 37 "academic and non-commercial purpos es." }}{PARA 0 "" 0 "" {TEXT -1 13 "Dr. John Pais" }}{PARA 0 "" 0 "" {TEXT -1 28 "Mathematics Department-MICDS" }}{PARA 0 "" 0 "" {TEXT -1 45 "E-mail: pais@micds.org or pais@kinetigram.com" }}{PARA 0 "" 0 "" {TEXT -1 33 "URL: http://kinetigram.com/micds" }}{PARA 0 "" 0 "" {TEXT -1 37 "_____________________________________" }}}{MARK "34 0" 145 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }