{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 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 271 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 276 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 281 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 1 18 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 "Normal" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 12 0 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 "Normal" -1 257 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" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 18 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 }} {SECT 0 {PARA 257 "" 0 "" {TEXT 282 64 "Precalculus Exploration 3: Fun ctions and Their Inverse Functions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 258 "" 0 "" {TEXT -1 458 "Visual exploration of the graphs of fu nctions and their inverses, in which each student volunteers to explai n to the class how to obtain the inverse of the given function and the graph of both the function and its inverse. As we scroll through the \+ document with the class, only the plot and the specification of functi on f(x) are displayed initially. Each volunteer student must find the \+ inverse function and then describe why the graphs of each are correct. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 269 18 "Prob lem 5, p. 149." }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 " 6)-%'CURVESG6$7S7$$!\"$\"\"!$!#:F*7$$!3!******\\2<#pG!#<$!3'*******Hoo Z9!#;7$$!3#)***\\7bBav#F0$!3$*****\\?%p@S\"F37$$!36++]K3XFEF0$!31+++L. )4N\"F37$$!3%)****\\F)H')\\#F0$!3%******4$>X*H\"F37$$!3#****\\i3@/P#F0 $!3)*****\\M%o\"[7F37$$!3;++Dr^b^AF0$!31++]o?i+7F37$$!3$****\\7Sw%G@F0 $!3)*****\\g0R^6F37$$!3*****\\7;)=,?F0$!3******\\k_Z+6F37$$!3/++DO\"3V (=F0$!3%*****\\aKs\\5F37$$!3#******\\V'zVx**)F07 $$!3/+++vl[p8F0$!3G*******HYzZ)F07$$!3\"******\\>iUC\"F0$!3i******z([q (zF07$$!3-++DhkaI6F0$!34+++Xe=AvF07$$!3s******\\XF`**!#=$!3!*******>)4 8)pF07$$!3u*******>#z2))Fgp$!3!*******zo6BlF07$$!3S++]7RKvuFgp$!3;+++l &H,*fF07$$!3s,+++P'eH'Fgp$!3p+++![X$=bF07$$!3q)***\\7*3=+&Fgp$!3[***** \\cB2+&F07$$!3[)***\\PFcpPFgp$!3R*****\\4Dy]%F07$$!3;)****\\7VQ[#Fgp$! 3E******\\s`$*RF07$$!32)***\\i6:.8Fgp$!3B*****\\Yg7_$F07$$!3Wb+++v`hH! #?$!3A+++]h%=,$F07$$\"3]****\\(QIKH\"Fgp$!3?+++Xyq#[#F07$$\"38****\\7: xWCFgp$!3N+++&R\"4A?F07$$\"3E,++vuY)o$Fgp$!3\\******4IhC:F07$$\"3!z*** ***4FL(\\Fgp$!3%3+++;p1,\"F07$$\"3A)****\\d6.B'Fgp$!392+++Pvy]Fgp7$$\" 3s****\\(o3lW(Fgp$!316+++DlR@!#>7$$\"35*****\\A))oz)Fgp$\"3Y'*******Gb (=&Fgp7$$\"3e******Hk-,5F0$\"3J)*****>d5/5F07$$\"36+++D-eI6F0$\"3U++++ 4KA:F07$$\"3u***\\(=_(zC\"F0$\"3!*)****\\(3!>*>F07$$\"3M+++b*=jP\"F0$ \"3P,++?eF0DF07$$\"3g***\\(3/3(\\\"F0$\"3Q)****\\j@$))HF07$$\"33++vB4J B;F0$\"3K+++&pVK\\$F07$$\"3u*****\\KCnu\"F0$\"3)*)******H(*o)RF07$$\"3 s***\\(=n#f(=F0$\"3*))****\\(oq.XF07$$\"3P+++!)RO+?F0$\"3],++?fX,]F07$ $\"30++]_!>w7#F0$\"3@+++5iZ5bF07$$\"3O++v)Q?QD#F0$\"3R,++b:G:gF07$$\"3 G+++5jypBF0$\"39,++S_9zkF07$$\"3<++]Ujp-DF0$\"3o+++q`y5qF07$$\"3++++gE d@EF0$\"3++++S1H'[(F07$$\"39++v3'>$[FF0$\"3c+++N%yK*zF07$$\"37++D6EjpG F0$\"3a+++X/`y%)F07$$\"\"$F*$\"\"*F*-%'COLOURG6&%$RGBG$F*F*F`[l$\"*+++ +\"!\")-F$6$7S7$F(F`[l7$F.$\"3k-++DJdpKFau7$F5$\"3Q/+v=7T9hFau7$F:$\"3 B(***\\(=HPJ*Fau7$F?$\"3S++DJaU`7Fgp7$FD$\"3?+]P%GZRd\"Fgp7$FI$\"3i** \\(=276(=Fgp7$FN$\"3=+](o**3)y@Fgp7$FS$\"3-+](ofHq\\#Fgp7$FX$\"3#***\\ Pf'HU\"GFgp7$Fgn$\"3>++]7*309$Fgp7$F\\o$\"3/++Dce*yU$Fgp7$Fao$\"3E++]( [D9v$Fgp7$Ffo$\"3!*****\\iNGwSFgp7$F[p$\"3C++]7XM*Q%Fgp7$F`p$\"3%***\\ (o%QjtYFgp7$Fep$\"32++]i8o6]Fgp7$F[q$\"31+++]>0)H&Fgp7$F`q$\"3!***\\(= -p6j&Fgp7$Feq$\"3d*****\\2Mg#fFgp7$Fjq$\"3K+](=xZ&\\iFgp7$F_r$\"3Q+]i: $4wb'Fgp7$Fdr$\"3Y++v=#R!zoFgp7$Fir$\"3[+]P4A@urFgp7$F^s$\"3')***\\i:' f#\\(Fgp7$Fds$\"3))**\\(of2L#yFgp7$Fis$\"3y**\\7yG>6\")Fgp7$F^t$\"3K++ voo6A%)Fgp7$Fct$\"3Z*****\\xJLu)Fgp7$Fht$\"3c***\\P*ydd!*Fgp7$F]u$\"3# ***\\(=1\"F07$Fgv$\"33++vQ(zS4\"F07$F\\w$\" 3!**\\(=-,FC6F07$Faw$\"3-+v$4tFe:\"F07$Ffw$\"3#****\\73\"o'=\"F07$F[x$ \"3$**\\(oz;)*=7F07$F`x$\"35+++&*44]7F07$Fex$\"3-+]7jZ!>G\"F07$Fjx$\"3 4+v=(4bMJ\"F07$F_y$\"32++]xlWU8F07$Fdy$\"3/+]i&3ucP\"F07$Fiy$\"3++++lJ R09F07$F^z$\"3.+v=-*zqV\"F07$Fcz$\"3/+D\"G:3uY\"F07$Fhz$\"3++++++++:F0 -F][l6&F_[lFa[lF`[lF`[l-F$6%7$7$F(F(7$FhzFhz-F][l6&F_[l$\")!\\DP\"Fc[l Fael$\")viobFc[l-%*LINESTYLEG6#\"\"#-%(SCALINGG6#%,CONSTRAINEDG-%+AXES LABELSG6%%!GF`fl-%%FONTG6#%(DEFAULTG-%&TITLEG6$%@Plot~a~function~and~i ts~inverseG-Fbfl6%%*HELVETICAGFdfl\"#9-%%VIEWG6$;F(FhzF`gl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "C urve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG,&*&\"\"%\"\" \"F'F+F+\"\"$!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\"fG%$~-1G \"\"\"%%(~x)GF(,&*&\"\"%!\"\"%\"xGF(F(#\"\"$F,F(" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 270 18 "Problem 6, p. 149." }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$!#I\"\"!$!#>F*7$ $!3!******\\2<#pG!#;$!38++]P&3Y$=F07$$!3+++D^NUbFF0$!3++]iviUC\"F0$!3)*****\\(4J@-\"F07$$!3)****\\7YY08\"F0$!3!****\\iI KFl*!#<7$$!3s******\\XF`**Fcp$!3')*****\\FPm(*)Fcp7$$!3^,+++Az2))Fcp$! 3w++++h*QS)Fcp7$$!3=-+]7RKvuFcp$!34,+Dc>mPxFcp7$$!3s,+++P'eH'Fcp$!3'3+ ++&=$z9(Fcp7$$!3f****\\7*3=+&Fcp$!3!)***\\iX/4]'Fcp7$$!3Q****\\PFcpPFc p$!3o***\\(o8y%)eFcp7$$!3%******\\7VQ[#Fcp$!3(*****\\i:#>C&Fcp7$$!3=(* **\\i6:.8Fcp$!3g)**\\7ev:l%Fcp7$$!3#y()****\\P:'HF,$!3R****\\(o2[,%Fcp 7$$\"3_****\\(QIKH\"Fcp$!3C++D1[Q`LFcp7$$\"3N(***\\7:xWCFcp$!3K,+vVUhx FFcp7$$\"3/.++vuY)o$Fcp$!3[)***\\iiwb@Fcp7$$\"3y)******4FL(\\Fcp$!3h++ +]kL8:Fcp7$$\"3x,++v:JIiFcp$!3;\"****\\7U%[))!#=7$$\"3s****\\(o3lW(Fcp $!3Q,+]ilXnFFjt7$$\"3W'****\\A))oz)Fcp$\"3E#)***\\7TW)RFjt7$$\"3e***** *Hk-,5F0$\"3*y*****\\@805Fcp7$$\"3$******\\A!eI6F0$\"3k*****\\7,Hl\"Fc p7$$\"3u***\\(=_(zC\"F0$\"3j)**\\P4w)RAFcp7$$\"3q+++b*=jP\"F0$\"3].++v Zf\")GFcp7$$\"3%****\\(3/3(\\\"F0$\"3u***\\P/-a[$Fcp7$$\"3E++vB4JB;F0$ \"3G,+v=Yb;TFcp7$$\"3e*****\\KCnu\"F0$\"3%y****\\i@Ot%Fcp7$$\"33++v=n# f(=F0$\"3Q++v$fL'z`Fcp7$$\"3?+++!)RO+?F0$\"3)4+++!*>=+'Fcp7$$\"3T++]_! >w7#F0$\"3/-+]i_4QmFcp7$$\"3O++v)Q?QD#F0$\"3u,+vV>5psFcp7$$\"3k+++5jyp BF0$\"3?.++]:$*[yFcp7$$\"3`++]Ujp-DF0$\"3j-+]7<[8&)Fcp7$$\"3l******fEd @EF0$\"3A)******Hjy5*Fcp7$$\"3]++v3'>$[FF0$\"3\\-+vV!)fT(*Fcp7$$\"3K++ D6EjpGF0$\"3;+]i0j\"[.\"F07$$\"#IF*$\"#6F*-%'COLOURG6&%$RGBG$F*F*F^[l$ \"*++++\"!\")-F$6$7S7$F($!#_F*7$F.$!3z******\\TVQ\\F07$F4$!3,++]-r%3r% F07$F9$!3))*****\\m,\\X%F07$F>$!3')*****\\lfs>%F07$FC$!3n****\\s@%3%RF 07$FH$!3x****\\U.6.PF07$FM$!3o****\\-G&pX$F07$FR$!3i****\\AjP-KF07$FW$ !3)*****\\sih[HF07$Ffn$!3I+++qGf(o#F07$F[o$!3))*****\\J$odCF07$F`o$!3) )******4'f))>#F07$Feo$!3N+++]J(*Q>F07$Fjo$!3!********QC&)o\"F07$F_p$!3 '*****\\AH4h9F07$Fep$!3%*******4\\l!>\"F07$Fjp$!3..+++We:'*Fcp7$F_q$!3 M/++Dyk]pFcp7$Fdq$!3W.+++us\"f%Fcp7$Fiq$!3>*****\\#yh.?Fcp7$F^r$\"3c7+ +]_u3YFjt7$Fcr$\"39+++]PJKIFcp7$Fhr$\"3i0++vwp$R&Fcp7$F]s$\"3W-++]#p2% zFcp7$Fbs$\"3#*****\\xgke5F07$Fgs$\"3[****\\-V&*)G\"F07$F\\t$\"3h+++& \\$pP:F07$Fat$\"3w******>am%z\"F07$Fft$\"3O+++:B1Y?F07$F\\u$\"3'***** \\P`9VgF07$F\\z$ \"3+,+]<#RmH'F07$Faz$\"3i++]A_ERlF07$Ffz$\"#oF*-F[[l6&F][lF_[lF^[lF^[l -F$6%7$7$F(F(7$FfzFfz-F[[l6&F][l$\")!\\DP\"Fa[lFael$\")viobFa[l-%*LINE STYLEG6#\"\"#-%+AXESLABELSG6%%!GF\\fl-%%FONTG6#%(DEFAULTG-%&TITLEG6$%@ Plot~a~function~and~its~inverseG-F^fl6%%*HELVETICAGF`fl\"#9-%(SCALINGG 6#%,CONSTRAINEDG-%%VIEWG6$;F(FfzF`gl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG,&*&\"\"#!\"\"F'\"\"\"F,\"\"%F+" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(,&*&\"\" #F(%\"xGF(F(\"\")F(" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 271 19 "Problem 11, p. 150." } {TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6) -%'CURVESG6$7S7$$!#I\"\"!$!#&*F*7$$!3!******\\2<#pG!#;$!3L*****\\A^w5* F07$$!3+++D^NUbFF0$!3-++v`1Fm()F07$$!3%*****\\K3XFEF0$!3!)****\\(\\_BQ )F07$$!3%*****\\F)H')\\#F0$!3;++]#[*)e*zF07$$!3%)***\\i3@/P#F0$!3@++ve KE6wF07$$!3!****\\7iUC\"F0$!3\\*****\\e'yKUF07$$!3)**** \\7YY08\"F0$!3e***\\PQR;*QF07$$!3s******\\XF`**!#<$!3c*****\\O#)f[$F07 $$!3^,+++Az2))Ffp$!3Y+++gwLUJF07$$!3=-+]7RKvuFfp$!3l++vtrfUFF07$$!3s,+ ++P'eH'Ffp$!3_+++5\"f()Q#F07$$!3f****\\7*3=+&Ffp$!3))***\\PnU0+#F07$$! 3Q****\\PFcpPFfp$!3\")***\\7#)o3j\"F07$$!3%******\\7VQ[#Ffp$!3)*****\\ PH:X7F07$$!3=(***\\i6:.8Ffp$!3b\"***\\([`%4*)Ffp7$$!3#y()****\\P:'H!#> $!3M'****\\7Y))3&Ffp7$$\"3_****\\(QIKH\"Ffp$!3V,+]P)3.7\"Ffp7$$\"3N(** *\\7:xWCFfp$\"32#***\\PXJMBFfp7$$\"3/.++vuY)o$Ffp$\"394++DCSlgFfp7$$\" 3y)******4FL(\\Ffp$\"3M'******H\")*>**Ffp7$$\"3x,++v:JIiFfp$\"3a++]sM4 p8F07$$\"3s****\\(o3lW(Ffp$\"3#****\\ig_Rt\"F07$$\"3W'****\\A))oz)Ffp$ \"3%*)***\\nk1R@F07$$\"3e******Hk-,5F0$\"3u)******GzI]#F07$$\"3$****** \\A!eI6F0$\"3y*****\\nS<*GF07$$\"3u***\\(=_(zC\"F0$\"3=***\\ilDRC$F07$ $\"3q+++b*=jP\"F0$\"35-++lo&*GOF07$$\"3%****\\(3/3(\\\"F0$\"3%)***\\iA T7*RF07$$\"3E++vB4JB;F0$\"3y++DrF$*pVF07$$\"3e*****\\KCnu\"F0$\"3q)*** *\\(H4,bF07$$\"3T++]_!>w7#F0$\"3A,+]dr&G)eF07$$\"3O++v)Q?QD#F0$\"3/,+Dm6Yh iF07$$\"3k+++5jypBF0$\"3#>+++$*e$4mF07$$\"3`++]Ujp-DF0$\"3e,+]F!*33qF0 7$$\"3l******fEd@EF0$\"3%*)*****zzrktF07$$\"3]++v3'>$[FF0$\"3],+DE)e\\ u(F07$$\"3K++D6EjpGF0$\"3$4+]P$y*)3\")F07$$\"#IF*$\"#&)F*-%'COLOURG6&% $RGBG$F*F*F^[l$\"*++++\"!\")-F$6$7S7$F($!3#RLLLLLLL)Ffp7$F.$!3;)***** \\-R(*yFfp7$F4$!3zlm;/&y!=vFfp7$F9$!3[*****\\x-:4(Ffp7$F>$!3I)****\\U* 4imFfp7$FC$!3_lm;aptMiFfp7$FH$!3t)***\\Ps^QeFfp7$FM$!3\">LL3na#GaFfp7$ FR$!3Z)***\\P0'R+&Ffp7$FW$!3UKL$37F5e%Ffp7$Ffn$!3cmmm;\"))f9%Ffp7$F[o$ !3A*****\\_0Gw$Ffp7$F`o$!3`KLL$oK9L$Ffp7$Feo$!3gLLL$e)G)*GFfp7$Fjo$!3) GLLL)R(3[#Ffp7$F_p$!3M****\\P:#=5#Ffp7$Fdp$!3?mmm;:4^;Ffp7$Fjp$!3!ommm 1k#p7Ffp7$F_q$!3#)RLL3(z5D)!#=7$Fdq$!3tommmca>VF^_l7$Fiq$!3$o\\ILL3(Hg !#@7$F^r$\"3)4nm;ad95%F^_l7$Fcr$\"3IMLL$e*=(Q)F^_l7$Fhr$\"3UML$e%HGK7F fp7$F]s$\"3c+++v[zc;Ffp7$Fcs$\"3)*****\\iMu(4#Ffp7$Fhs$\"3%fmmT]!f\"[# Ffp7$F]t$\"3+,++De:'*GFfp7$Fbt$\"3EmmmmBWCLFfp7$Fgt$\"3bnmm\">PMu$Ffp7 $F\\u$\"3Gmm;Hi$)[TFfp7$Fau$\"3=lmmTF'*)f%Ffp7$Ffu$\"3AKLLL9U.]Ffp7$F[ v$\"38mmm;uENaFfp7$F`v$\"3Q****\\iSeEeFfp7$Fev$\"3Ipmm;lRaiFfp7$Fjv$\" 3'GLLepMpl'Ffp7$F_w$\"3_nm;zIqxqFfp7$Fdw$\"3!>LLL3\"3*[(Ffp7$Fiw$\"3#p mm\"Hdv>zFfp7$F^x$\"3Z*******fYXL)Ffp7$Fcx$\"3=+++v,te()Ffp7$Fhx$\"3IL L$eH,%z\"*Ffp7$F]y$\"3?ommmV&fc*Ffp7$Fby$\"3RLL$3y)*3+\"F07$Fgy$\"3$)* *****>U_S5F07$F\\z$\"3mmm\"H?tF3\"F07$Faz$\"3lmmTq3@B6F07$Ffz$\"3immmm mmm6F0-F[[l6&F][lF_[lF^[lF^[l-F$6%7$7$F(F(7$FfzFfz-F[[l6&F][l$\")!\\DP \"Fa[lFcel$\")viobFa[l-%*LINESTYLEG6#\"\"#-%(SCALINGG6#%,CONSTRAINEDG- %+AXESLABELSG6%%!GFbfl-%%FONTG6#%(DEFAULTG-%&TITLEG6$%@Plot~a~function ~and~its~inverseG-Fdfl6%%*HELVETICAGFffl\"#9-%%VIEWG6$;F(FfzFbgl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2 " "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG,&*&\"\"$ \"\"\"F'F+F+\"\"&!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\"fG%$~ -1G\"\"\"%%(~x)GF(,&*&\"\"$!\"\"%\"xGF(F(#\"\"&F,F(" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 272 19 "Problem 13, p. 150." }{TEXT -1 0 "" }} {PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7S7$ $\"\"!F)F(7$$\"3s******\\i9Rl!#>$\"3#)pmS)oa%G=!#A7$$\"3/++vVA)GA\"!#= $\"382:)3tVjB#!#@7$$\"3+++]Peui=F4$\"3%)*>A%4l'R?\"!#?7$$\"3A++]i3&o]# F4$\"3#Qcug@W#\\RF=7$$\"3%)***\\(oX*y9$F4$\"3)**Grd;/$>)*F=7$$\"3z*** \\P9CAu$F4$\"3Q3^o6y=h>F-7$$\"3!)***\\P*zhdVF4$\"3l$feoQedg$F-7$$\"31+ +v$>fS*\\F4$\"3;>ofm)[.A'F-7$$\"3$)***\\(=$f%GcF4$\"3Ocb#3;%f.5F47$$\" 3Q+++Dy,\"G'F4$\"3%\\oJ9*fRc:F47$$\"33++]7Fgp7$$\"31+]Pa&4*\\7Fgp$\"3hUBC?(*pSCFgp7$$\"33+]7j=_68Fgp$\" 3_hCFB#3(eHFgp7$$\"33++vVy!eP\"Fgp$\"3Q#>J$41(Ge$Fgp7$$\"34+](=WU[V\"F gp$\"3(4yAzdX&QUFgp7$$\"3)****\\7B>&)\\\"Fgp$\"3Tef_.#RD/&Fgp7$$\"3)** *\\P>:mk:Fgp$\"37(*)3)[^^$*fFgp7$$\"3'***\\iv&QAi\"Fgp$\"3&)4Y?4QiDpFg p7$$\"31++vtLU%o\"Fgp$\"3qM+`E(p,0)Fgp7$$\"3!******\\Nm'[Q6\\#*G7F[u7$$\"3&****\\7TW)R>Fgp$\"3Ik$y`99gT\"F[u7$$\"3z**** *\\@80+#Fgp$\"3ftKC?Hk,;F[u7$$\"31++]7,Hl?Fgp$\"37[?8\\NQ>=F[u7$$\"3() **\\P4w)R7#Fgp$\"3!\\mf,&Q?N?F[u7$$\"3;++]x%f\")=#Fgp$\"3!y;KE_MDH#F[u 7$$\"3!)**\\P/-a[AFgp$\"3KBnI,fCcDF[u7$$\"3/+](=Yb;J#Fgp$\"3W]xlZucbGF [u7$$\"3')****\\i@OtBFgp$\"3%e\"Qs2w*G<$F[u7$$\"3')**\\PfL'zV#Fgp$\"31 E\"f$pdrKNF[u7$$\"3>+++!*>=+DFgp$\"3()ytqhvQ2RF[u7$$\"3-++DE&4Qc#Fgp$ \"3Ee)ofr*e?VF[u7$$\"3=+]P%>5pi#Fgp$\"3CYn$o$p!>w%F[u7$$\"39+++bJ*[o#F gp$\"3u-?%)*Glk>&F[u7$$\"33++Dr\"[8v#Fgp$\"3@\\h[uROIdF[u7$$\"3++++Ijy 5GFgp$\"3NgR#)*H@=C'F[u7$$\"31+]P/)fT(GFgp$\"3(*G#)36F2CoF[u7$$\"31+]i 0j\"[$HFgp$\"3)e&*[)*oH'=uF[u7$$\"\"$F)$\"#\")F)-%'COLOURG6&%$RGBGF(F( $\"*++++\"!\")-F$6$7F7$$\"3/+++I]Ns6F=$\"3!G1s^X'R]=F47$$\"3:+++g![iI& F=$\"3KNPjGF'*)p#F47$$\"3j*******3T,W*F=$\"3_OY()=h0m1$F4$\"3et@9$)odTu F47$$\"3-+++![n%)o$F4$\"3?0@#>EAJz(F47$$\"3z*******G(*3L%F4$\"3.`PZX(3 B6)F47$$\"37++++rKt\\F4$\"3)*p=3vqs(R)F47$$\"3u******z:JIiF4$\"3%prC2Y 'Q%)))F47$$\"3%********o3lW(F4$\"3G(*G;N4T*G*F47$$\"3!)******>#))oz)F4 $\"3CvngWHh%o*F47$$\"3-+++Ik-,5Fgp$\"3+%)zy3lD+5Fgp7$$\"36+++D-eI6Fgp$ \"3y3?T5$e6.\"Fgp7$$\"3)*******=_(zC\"Fgp$\"31y*[S\"G%p0\"Fgp7$$\"3!** ****\\&*=jP\"Fgp$\"3un>kuz7$3\"Fgp7$$\"31+++4/3(\\\"Fgp$\"3#4GMk,Vh5\" Fgp7$$\"35+++C4JB;Fgp$\"31fJ8DpvG6Fgp7$$\"3)******\\KCnu\"Fgp$\"3k2cl: Zi\\6Fgp7$$\"3'*******=n#f(=Fgp$\"3E>6\\A#=.<\"Fgp7$$\"3$*******zRO+?F gp$\"3_*Hhs@h#*=\"Fgp7$$\"3,+++_!>w7#Fgp$\"3$Hb+%[+u27Fgp7$$\"3#****** *)Q?QD#Fgp$\"3UR?yHWED7Fgp7$$\"3%)******4jypBFgp$\"34%y9z.I2C\"Fgp7$$ \"38+++Ujp-DFgp$\"33))zpRBxd7Fgp7$$\"3++++gEd@EFgp$\"3Kx!QQE\\CF\"Fgp7 $$\"3;+++4'>$[FFgp$\"3%)=lIA!evG\"Fgp7$$\"35+++6EjpGFgp$\"3xJt+or`,8Fg p7$Fgz$\"3Q#\\_H,ugJ\"Fgp-F\\[l6&F^[lF_[lF(F(-F$6%7$7$$!\"$F)F]gl7$Fgz Fgz-F\\[l6&F^[l$\")!\\DP\"Fa[lFbgl$\")viobFa[l-%*LINESTYLEG6#\"\"#-%+A XESLABELSG6%%!GF]hl-%%FONTG6#%(DEFAULTG-%(SCALINGG6#%,CONSTRAINEDG-%&T ITLEG6$%@Plot~a~function~and~its~inverseG-F_hl6%%*HELVETICAGFahl\"#9-% %VIEWG6$;F]glFgzFail" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG*$)F'\"\"%\"\"\"1\"\"!F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(*$)%\"xG#F(\"\"%F(1 \"\"!F," }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 273 19 "Problem 14, p. 150." }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7ao7$$!\"$\"\"!$!3:LLLLLLLL!#=7 $$!3!******\\2<#pG!#<$!3a!)3:E8F&[$F-7$$!3#)***\\7bBav#F1$!3tZ^T9h?HOF -7$$!36++]K3XFEF1$!3!yd\"[j.(f!QF-7$$!3%)****\\F)H')\\#F1$!3d\"Rx\"yM> -SF-7$$!3#****\\i3@/P#F1$!3fh9cQ(f'=UF-7$$!3;++Dr^b^AF1$!3$f)e0BYPTWF- 7$$!3$****\\7Sw%G@F1$!3a!>'3Aj>)p%F-7$$!3*****\\7;)=,?F1$!3kiUC\"F1$!3W->. #H\"*o.)F-7$$!3-++DhkaI6F1$!3YERb(**z_%))F-7$$!3s******\\XF`**F-$!3>X) p,[%p/5F17$$!3u*******>#z2))F-$!3Un/R-$e`8\"F17$$!3S++]7RKvuF-$!3&He$Q uYtP8F17$$!3s,+++P'eH'F-$!3]uqlBWM)e\"F17$$!3q)***\\7*3=+&F-$!3]%[ympw #**>F17$$!3[)***\\PFcpPF-$!3y`xV\"eFGl#F17$$!3;)****\\7VQ[#F-$!3\\\"*e Hb\">g-%F17$$!35)**\\P9(\\$*=F-$!3-+Ft5KB\"G&F17$$!32)***\\i6:.8F-$!3E RWE[oqtwF17$$!3%p)*\\i:sw%)*!#>$!3E:(\\8Toa,\"!#;7$$!39$***\\(oKQm'Fds $!3Q2))[;zj+:Fgs7$$!3C'*\\7`H\">2&Fds$!3aQ)41nU;(>Fgs7$$!3O***\\(=K**z MFds$!3)QuFz\")oN(GFgs7$$!3!4]i:NLSo#Fds$!30>A1=htDPFgs7$$!3W-]P%[t!)) =Fds$!3s9o'Q-/kH&Fgs7$$!3A`7y]N4!\\\"Fds$!3R$y$\\T!))4r'Fgs7$$!3+/v=jkbc\"*Fgs7$$!3qZv$f$oLTp!#?$!3s]C>#oW1W\"!#:7$$!3Wb++ +v`hHF^v$!3Mg*HHZCmP$Fav7$$\"3![W7y]bB<\"F^v$\"3I$=@j\"e$)H&)Fav7$$\"3 /X\\i:&[iI&F^v$\"3[&QT'41d%)=Fav7$$\"3GXuVB:9S%*F^v$\"3y]u*G:1$f5Fav7$ $\"3c%*\\7`MSd8Fds$\"3gjx5ak+ntFgs7$$\"3g%\\(oa?=%=#Fds$\"3W&3MI$HPyXF gs7$$\"3l%**\\ilg4,$Fds$\"3B%)fAf\"*>@LFgs7$$\"3w%*\\Pfy^kYFds$\"3qNbi %HWQ9#Fgs7$$\"3%[***\\i]2=jFds$\"33FV>c0w#e\"Fgs7$$\"3/&**\\(o%*=D'*Fd s$\"3\"Q6[teS*Q5Fgs7$$\"3]****\\(QIKH\"F-$\"3_2:([DuDt(F17$$\"3K****** \\4+p=F-$\"3[2'e!p?X]`F17$$\"38****\\7:xWCF-$\"3'oUw\")zh.4%F17$$\"3E, ++vuY)o$F-$\"3z%y6@4`6r#F17$$\"3!z******4FL(\\F-$\"3S[ht!QE2,#F17$$\"3 A)****\\d6.B'F-$\"3)=QmW;c]g\"F17$$\"3s****\\(o3lW(F-$\"3:j.567\"HM\"F 17$$\"35*****\\A))oz)F-$\"3Mk[&*3cwO6F17$$\"3e******Hk-,5F1$\"3'3]#yCi u*)**F-7$$\"36+++D-eI6F1$\"3#)3GJTe,X))F-7$$\"3u***\\(=_(zC\"F1$\"3J:1 sC'zH,)F-7$$\"3M+++b*=jP\"F1$\"3a\\CMnwvlsF-7$$\"3g***\\(3/3(\\\"F1$\" 3!eWnL$zmzmF-7$$\"33++vB4JB;F1$\"3/o]E6$\\-;'F-7$$\"3u*****\\KCnu\"F1$ \"3U*yUX&=+DdF-7$$\"3s***\\(=n#f(=F1$\"3QAF`N')pI`F-7$$\"3P+++!)RO+?F1 $\"35n;d:-4**\\F-7$$\"30++]_!>w7#F1$\"3$oLKZ^*3+ZF-7$$\"3O++v)Q?QD#F1$ \"3@$z/$*y5pV%F-7$$\"3G+++5jypBF1$\"3NSWUF-7$$\"3<++]Ujp-DF1$\"3 ]\\_&**\\!p&*RF-7$$\"3++++gEd@EF1$\"3`8joHU]9QF-7$$\"39++v3'>$[FF1$\"3 eT;\"***peQOF-7$$\"37++D6EjpGF1$\"3_4*HDkmZ[$F-7$$\"\"$F*$\"3:LLLLLLLL F--%'COLOURG6&%$RGBG$F*F*Feal$\"*++++\"!\")-F$6$F&-Fbal6&FdalFfalFealF eal-F$6%7$7$F(F(7$F]alF]al-Fbal6&Fdal$\")!\\DP\"FhalFdbl$\")viobFhal-% *LINESTYLEG6#\"\"#-%&TITLEG6$%@Plot~a~function~and~its~inverseG-%%FONT G6%%*HELVETICAG%(DEFAULTG\"#9-%+AXESLABELSG6%%!GFicl-Facl6#Fdcl-%(SCAL INGG6#%,CONSTRAINEDG-%%VIEWG6$;F(F]alFcdl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}} {PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG*&\"\"\"F)F'!\"\"0F'\"\" !" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(*&F (F(%\"xG!\"\"0F+\"\"!" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 274 19 "Problem 16, p. 150." }{TEXT -1 0 "" }}{PARA 13 "" 1 " " {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7T7$$!\"$\"\"!$\"3H !>YZ7F%GG!#<7$$!3!)*****>hDQ!GF-$\"3m'R4#>G`$z#F-7$$!3>+++F`8LEF-$\"3% *p#)QPH\"Gw#F-7$$!3>+++\\i&ys#F-7$$!3)******4uWzC#F-$ \"3+6.]C2?#p#F-7$$!33+++H;jb?F-$\"3[sN'[*QCcEF-7$$!3-+++dFLx=F-$\"3B@I +ApYAEF-7$$!3))*****>g9Fp\"F-$\"3s4q$49Gqe#F-7$$!3*******>C#y,:F-$\"3c TLDf#f)\\DF-7$$!3\"******R?i9J\"F-$\"3^NymnBE7DF-7$$!3&******>l%p:6F-$ \"3'3b)QbI*HZ#F-7$$!3c******f[iK%*!#=$\"3o7NiO2)yV#F-7$$!3#*******zqW \"\\(F]o$\"3U_PJ9ut(R#F-7$$!3<+++?')HUbF]o$\"3!3k0^OTnN#F-7$$!3Q+++?H$ Rm$F]o$\"3`lv%)4xa;BF-7$$!3!*******>p>e>F]o$\"3]0qusSVzAF-7$$\"3****** ****z\")3q!#?$\"3mjxa3-]MAF-7$$\"37++++#F-7$$\"3 ')******HT,(y$F]o$\"3]c7Z$e?(\\@F-7$$\"3i******\\W?cbF]o$\"3n/(Rorp\"3 @F-7$$\"3i******HmG(\\(F]o$\"3cytk?'=;1#F-7$$\"3u*******)elX$*F]o$\"3e M3XVAH;?F-7$$\"3/+++JNUF6F-$\"3I9Nt%H')y'>F-7$$\"35+++Et_/8F-$\"3po(*f B7OA>F-7$$\"3%******Rpdb\\\"F-$\"3[%)*=Jd:?(=F-7$$\"3!******zb%)Rp\"F- $\"3F[x`a^C==F-7$$\"35+++Fdrm=F-$\"3QbkO[&3,x\"F-7$$\"3=+++@,F`?F-$\"3 G F-$\"3%G1wWOSmZ\"F-7$$\"3\")*****\\kR:+$F-$\"3;0,'36pOT\"F-7$$\"3=+++Q .(e>$F-$\"3&)Qb$*Q*yJM\"F-7$$\"3-+++GG'>P$F-$\"3y>Q:*fXfF\"F-7$$\"3/++ +K%yWc$F-$\"3ms/dLD8)>\"F-7$$\"3#)*****Hh?cu$F-$\"3&H0Ixz!**>6F-7$$\"3 :+++'Qm\\$RF-$\"3nC_$zl/?.\"F-7$$\"35+++)['3?TF-$\"3iX3tD0P!Q*F]o7$$\" 3-+++y+*QJ%F-$\"3)eF5F]o7$$\"3!******p`%)[*\\F-$\" 3o7kA+lC_r!#>7$%*undefinedGF\\[l-%'COLOURG6&%$RGBG$F*F*Fa[l$\"*++++\"! \")-F$6$7S7$Fa[l$\"\"&F*7$$\"3%*******\\#HyI\"F]o$\"3)RWGl#e*G)\\F-7$$ \"33++]([kdW#F]o$\"3pQorgB=S\\F-7$$\"3++++v;\\DPF]o$\"3mc]zt7]zi[ZF-7$$\"3o****\\P\"*y&H'F]o$\"3()p8O\"RIOg %F-7$$\"3e****\\(G[W[(F]o$\"3h$Q<$Q.$)RWF-7$$\"3i****\\()fB:()F]o$\"34 \\=#ohY/C%F-7$$\"39++](Q=\"))**F]o$\"3NWGx5\\P-SF-7$$\"3(****\\P'=pD6F -$\"3>^q)y#y\"Gt$F-7$$\"33+++lN?c7F-$\"3!3H\"G.E&>U$F-7$$\"3-++]U$e6P \"F-$\"3p_Ez*zC*>JF-7$$\"36+++&>q0]\"F-$\"3_hw()*3*G[FF-7$$\"3'****** \\U80j\"F-$\"3cpZ*3(fUTBF-7$$\"35+++0ytbF-7$$\"3)*** *\\(QNXp=F-$\"3W-^XmM90:F-7$$\"3.+++XDn/?F-$\"3*>BKK()zG\")*F]o7$$\"3. +++!y?#>@F-$\"3[7>;cG.*3&F]o7$$\"3'****\\(3wY_AF-$!3/-VzYG.htFjz7$$\"3 #)******HOTqBF-$!3'Gw(*Gx2')='F]o7$$\"37++v3\">)*\\#F-$!3;X;Zwb4\\7F-7 $$\"3:++DEP/BEF-$!3K&[>)*Qe.)=F-7$$\"3=++](o:;v#F-$!3'*)4'p\"*))QrDF-7 $$\"3=++v$)[opGF-$!3<_K-K84NKF-7$$\"3%*****\\i%Qq*HF-$!3MjVqX&RA)RF-7$ $\"3&****\\(QIKHJF-$!3ML:&3oiEz%F-7$$\"3#****\\7:xWC$F-$!3a9L)\\)>jEbF -7$$\"37++]Zn%)oLF-$!31H893%G\"\\jF-7$$\"3y******4FL(\\$F-$!3MVfV%3O8B (F-7$$\"3#)****\\d6.BOF-$!3%))y:#oZNE\")F-7$$\"3(****\\(o3lWPF-$!3\\H, $)G,TA!*F-7$$\"3!*****\\A))ozQF-$!3fVJ%f`)>05!#;7$$\"3e******Hk-,SF-$! 3>aeN\\7#35\"Ffel7$$\"36+++D-eITF-$!3I0h^*Hph?\"Ffel7$$\"3u***\\(=_(zC %F-$!3%4T6fMHXI\"Ffel7$$\"3M+++b*=jP%F-$!3TH#*efn@:9Ffel7$$\"3g***\\(3 /3(\\%F-$!3L1jF?KPA:Ffel7$$\"33++vB4JBYF-$!3(zgm(*Q+vj\"Ffel7$$\"3u*** **\\KCnu%F-$!3;qYv\"=RJv\"Ffel7$$\"3s***\\(=n#f([F-$!319?mOhYx=Ffel7$$ \"3P+++!)RO+]F-$!3ZW\"[K*RO+?Ffel7$$\"30++]_!>w7&F-$!3!)*4cZrZ#H@Ffel7 $$\"3O++v)Q?QD&F-$!3K?XsnGEgAFfel7$$\"3G+++5jyp`F-$!31Uj],0Y$Q#Ffel7$$ \"3<++]Ujp-bF-$!32)GwPqmz_#Ffel7$$\"3++++gEd@cF-$!3eZf;$[dF-$!3hvRVKyJ/GFfel7$$\"37++D6EjpeF-$!3M\\\\5*pe_%HFfel7$$\" \"'F*$!#JF*-F^[l6&F`[lFb[lFa[lFa[l-F$6%7$7$F(F(7$FhjlFhjl-F^[l6&F`[l$ \")!\\DP\"Fd[lFe[m$\")viobFd[l-%*LINESTYLEG6#\"\"#-%(SCALINGG6#%,CONST RAINEDG-%&TITLEG6$%@Plot~a~function~and~its~inverseG-%%FONTG6%%*HELVET ICAG%(DEFAULTG\"#9-%+AXESLABELSG6%%!GF^]m-Ff\\m6#Fi\\m-%%VIEWG6$;F(Fhj lFd]m" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve \+ 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\" xG*$,&\"\"&\"\"\"F'!\"\"#F+\"\"#1F'F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(,&\"\"&F(*$)%\"xG\"\"#F(!\"\"1\"\"!F. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 275 19 "Problem 17, p. 150." }{TEXT -1 0 "" }} {PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7en7 $$!3#******>B8***>!#<$\"3]/y0Vm'H'=!#>7$$!3%******>RTV*>F*$\"3dE`zi)4M ]\"!#=7$$!3%******>bp())>F*$\"3ph;,P()\\;@F37$$!3'******>(eix>F*$\"3!) 3JLN#=K)HF37$$!31+++$>#[m>F*$\"3Yb&\\9b+ik$F37$$!3$******R$[>W>F*$\"3! H;,iN]:p%F37$$!3.+++vu!>#>F*$\"3RUGTz:=MbF37$$!3!******f6?'**=F*$\"355 ?I$*QaciF37$$!3-+++dFLx=F*$\"3iw:QGL`'*oF37$$!3.+++=#y6$=F*$\"3zK9*=u- B/)F37$$!37+++!oB]y\"F*$\"3fYbvl#z/-*F37$$!3!******49p)Qg9Fp\"F*$\"3OJQ]!4J_1\"F*7$$!3)******>^\")\\k\"F*$ \"3Q?kpapbP6F*7$$!3/+++A%[sf\"F*$\"3C$y-W.gO?\"F*7$$!3#******>L:&\\:F* $\"3ej\"p;g;XE\"F*7$$!3*******>C#y,:F*$\"3J@grM?&3K\"F*7$$!31+++BAi19F *$\"3!y%HGpVw@9F*7$$!3\"******R?i9J\"F*$\"3K=%\\b.*)*4:F*7$$!3$******z UyN@\"F*$\"3G:n^tbs*e\"F*7$$!3&******>l%p:6F*$\"3e0F%z<())f;F*7$$!3!** *****o&y%H5F*$\"3E+5YANp9cF*7$$!3 Q+++?H$Rm$F3$\"3K39)od_h'>F*7$$!3!*******>p>e>F3$\"395F!od!R!*>F*7$$\" 3**********z\")3q!#?$\"3Sb)z!>x)***>F*7$$\"37++++ *>F*7$$\"3')******HT,(y$F3$\"3C$)QcW!>Q'>F*7$$\"3i******\\W?cbF3$\"3pM k'R&>F@>F*7$$\"3i******HmG(\\(F3$\"3I-B*)f$fT&=F*7$$\"3o******f7Z@%)F3 $\"3(oH\"3\")H09=F*7$$\"3u*******)elX$*F3$\"3#\\vzD\"e@ol\"F*7$$\"3\" ******zUvf@\"F*$\"3Q90XnG*ye\"F*7$$\"35+++Et_/8F*$\"3iKv3>V)f^\"F*7$$ \"3-+++5D/+9F*$\"3\\eOL;SCG9F*7$$\"3%******Rpdb\\\"F*$\"3[[s)Hx&*yK\"F *7$$\"3%*******4W;X:F*$\"31\\3)[\\H)p7F*7$$\"3#******f7rZf\"F*$\"3/p7c p.%p?\"F*7$$\"3#******>%yPW;F*$\"30'3HhSH%Q6F*7$$\"3!******zb%)Rp\"F*$ \"3ennS#Q5K1\"F*7$$\"3++++]t;PF*$ \"3-j/Z*f;I#eF37$$\"31+++DOnO>F*$\"3AR2%)Gx%H*\\F37$$\"3-+++CH**f>F*$ \"3%=&[F.#)H!)RF37$$\"3%******Rd_;(>F*$\"3u\"RoEj&QbLF37$$\"3)******HA 7L)>F*$\"3E``$)z&G#yDF37$$\"3%******z/U\"*)>F*$\"3Mb7&H[*>\"3#F37$$\"3 /+++s=(\\*>F*$\"3crWj]UH<9F37$%*undefinedGF^]l-%'COLOURG6&%$RGBG$\"\"! Fd]lFc]l$\"*++++\"!\")-F$6$7S7$$!\"$Fd]lFc]l7$$!3%)****\\7c#Q!GF*Fc]l7 $$!3=+](oKNJj#F*Fc]l7$$!3s***\\([ie>F3Fc]l7$$\"3*=/++]<)3qF^tFc]l7$$\"3S++++GF*Fc]l7$$\"3P***** \\kR:+$F*Fc]l7$$\"3e++]P.(e>$F*Fc]l7$$\"3e**\\7GG'>P$F*Fc]l7$$\"3_++]K %yWc$F*Fc]l7$$\"3S**\\781iXPF*Fc]l7$$\"3n**\\i&Qm\\$RF*Fc]l7$$\"31++]( ['3?TF*Fc]l7$$\"3e**\\7y+*QJ%F*Fc]l7$$\"3,,++qfa+XF*Fc]l7$$\"31++vy&G9 p%F*Fc]l7$$\"3_+]7$eI2)[F*Fc]l7$$\"3a*****\\YzY0&F*Fc]l7$$\"3Q***\\P^W SD&F*Fc]l7$$\"3*3+++**eBV&F*Fc]l7$$\"3L**\\78%zCi&F*Fc]l7$$\"3v**\\(o \"*[W!eF*Fc]l7$$\"\"'Fd]lFc]l-F`]l6&Fb]lFe]lFc]lFc]l-F$6%7$7$F\\^lF\\^ l7$F\\glF\\gl-F`]l6&Fb]l$\")!\\DP\"Fg]lFggl$\")viobFg]l-%*LINESTYLEG6# \"\"#-%+AXESLABELSG6%%!GFbhl-%%FONTG6#%(DEFAULTG-%(SCALINGG6#%,CONSTRA INEDG-%&TITLEG6$%@Plot~a~function~and~its~inverseG-Fdhl6%%*HELVETICAGF fhl\"#9-%%VIEWG6$;F\\^lF\\glFfil" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG*$,&\"\"%\"\"\"*$)F'\"\"#F+!\"\"#F+F ." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&)%\"fG%$~-1G\"\"\"%5(~x)~does~n ot~exist.GF'" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 276 19 "Problem 19, p. 150." }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6+-%'CURVESG6$7G7$$!3S+++&[Ib***!#= $\"3Zh$>-yVD5\"F*7$$!3s******\\XF`**F*$\"38O&4sS)R2CF*7$$!3_******fR!p m*F*$\"3sx\"))e&F*7$$!3%**** ****yiT4*F*$\"3A4)HelK#z2))F*$\"30CYJBfU;oF*7$$!3=+ ++5RKvuF*$\"3G`a6[BW]$)F*7$$!3]*******pjeH'F*$\"3yW]$)*G+u3*F*7$$!3h** ****4*3=+&F*$\"3OtG&zPhTc*F*7$$!3!)******RFcpPF*$\"3'fd#R#3n\"=)*F*7$$ !3'*******>J%Q[#F*$\"3;itK)zc'[**F*7$$!34+++g6:.8F*$\"3Y6_dMyh#***F*7$ $!35++++!Q:'H!#?$\"2!*QZ[+\"Fdo7$$\"3-+++![n%)o$F*$\"3t:;T-ZX; 5Fdo7$$\"37++++rKt\\F*$\"3\\]2>n$G%R5Fdo7$$\"3u******z:JIiF*$\"3]$))z! )Qo[2\"Fdo7$$\"3%********o3lW(F*$\"3ybxvUx6A6Fdo7$$\"3!)******>#))oz)F *$\"3'e)4&z5h*)=\"Fdo7$$\"3-+++Ik-,5Fdo$\"3_Jj&>*zcg7Fdo7$$\"36+++D-eI 6Fdo$\"3iUwtQU?Z8Fdo7$$\"3)*******=_(zC\"Fdo$\"3IK')f?A;L9Fdo7$$\"3!** ****\\&*=jP\"Fdo$\"3#RQ'*RSDO`\"Fdo7$$\"31+++4/3(\\\"Fdo$\"3oqV=!\\yIj \"Fdo7$$\"35+++C4JB;Fdo$\"3`wpFP!f5u\"Fdo7$$\"3)******\\KCnu\"Fdo$\"3% HHY*Rqx\\=Fdo7$$\"3'*******=n#f(=Fdo$\"3s?%)R65Bm>Fdo7$$\"3$*******zRO +?Fdo$\"3W#f.FK?/3#Fdo7$$\"3,+++_!>w7#Fdo$\"3!G+Kn@W))>#Fdo7$$\"3#**** ***)Q?QD#Fdo$\"3ToX(\\0=wJ#Fdo7$$\"3%)******4jypBFdo$\"3[Wq.#=9xU#Fdo7 $$\"38+++Ujp-DFdo$\"3!=oPEj@[b#Fdo7$$\"3++++gEd@EFdo$\"3K5[k)\\.#pEFdo 7$$\"3;+++4'>$[FFdo$\"3e67s./w\"z#Fdo7$$\"35+++6EjpGFdo$\"32;'*eULb4HF do7$$\"\"$\"\"!$\"3Bic(=(*)eOIFdo-%'COLOURG6&%$RGBG$F[wF[wFbw$\"*++++ \"!\")-F$6$7G7$F+F(7$F0F.7$F5F37$F:F87$F?F=7$FDFB7$FIFG7$FNFL7$FSFQ7$F XFV7$FgnFen7$F\\oFjn7$FboF_o7$FhoFfo7$F]pF[p7$FbpF`p7$FgpFep7$F\\qFjp7 $FaqF_q7$FfqFdq7$F[rFiq7$F`rF^r7$FerFcr7$FjrFhr7$F_sF]s7$FdsFbs7$FisFg s7$F^tF\\t7$FctFat7$FhtFft7$F]uF[u7$FbuF`u7$FguFeu7$F\\vFju7$FavF_v7$F fvFdv7$F\\wFiv-F_w6&FawFcwFbwFbw-F$6$7M7$$!3Bic(=(*)eOIFdo$!\"$F[w7$$! 3X\"*>_L\"\\\"4HFdo$!3!******\\2<#pGFdo7$$!3mcr=,ek)z#Fdo$!3!)*****4bB av#Fdo7$$!3c:v*>Uu[n#Fdo$!32+++K3XFEFdo7$$!3K?OpU(>4b#Fdo$!3))*****z#) H')\\#Fdo7$$!32F-*y.>$GCFdo$!3!******f3@/P#Fdo7$$!3M_49/gZ:BFdo$!39+++ r^b^AFdo7$$!3yD'eI&pk*>#Fdo$!3\"******4Sw%G@Fdo7$$!337!4'GB=\"3#Fdo$!3 (******4;)=,?Fdo7$$!3K**z$p&yvk>Fdo$!3-+++O\"3V(=Fdo7$$!3[xL)f)p;Z=Fdo $!3#******\\V'zViUC\"Fdo7$$!3G+lBg/=Z8Fdo$!3++++hkaI6Fdo7 $$!3QU@#RU%)pD\"FdoF.7$$!37;ylc%e&*=\"FdoFB7$$!3N8m_$=!RB6FdoFG7$$!3k& HBmW*3x5FdoFL7$$!3x)3wDt$3S5FdoFQ7$$!3!*e=6N]a<5FdoFV7$$!3M4w@K@305Fdo Fen7$$!3g#R@#Grt+5FdoFjn7$$!3+h#e'3+++5FdoF_o7$$!3)f&fPu_y#***F*Ffo7$$ !3EtytpN0^**F*F[p7$$!3XHu#f$>&)H)*F*F`p7$$!3_PUIq1!>d*F*Fep7$$!3$))e!R L?V=\"*F*Fjp7$$!3Q6wg[CQt$)F*F_q7$$!3%fW@$[:HVxF*$\"3V+++b%)p@\")F*7$$ !3]'[G^tgX$oF*Fdq7$$!3+\"4L*Qu(*oiF*$\"3>+++SAB+\"*F*7$$!3&o=;:VjH_&F* $\"3Y******fid.%*F*7$$!3>n5T9x:M]F*$\"3m******p#[_b*F*7$$!3r MF*$\"3/+++!H#fe)*F*7$$!3sK1I)QA@8$F*$\"3;+++!H5l*)*F*7$$!3q4;^$HuNp#F *$\"3e*****\\HGW$**F*7$$!3z8@eW9^A?F*$\"35++++jMs**F*7$%*undefinedGFfe lF^w-F$6$7M7$FfzFdz7$F[[lFiz7$F`[lF^[l7$Fe[lFc[l7$Fj[lFh[l7$F_\\lF]\\l 7$Fd\\lFb\\l7$Fi\\lFg\\l7$F^]lF\\]l7$Fc]lFa]l7$Fh]lFf]l7$F]^lF[^l7$Fb^ lF`^l7$Fg^lFe^l7$F\\_lFj^l7$Fa_lF__l7$F.Fd_l7$FBFg_l7$FGFj_l7$FLF]`l7$ FQF``l7$FVFc`l7$FenFf`l7$FjnFi`l7$F_oF\\al7$FfoF_al7$F[pFbal7$F`pFeal7 $FepFhal7$FjpF[bl7$F_qF^bl7$FcblFabl7$FdqFfbl7$F[clFibl7$F`clF^cl7$Fec lFccl7$FjclFhcl7$F_dlF]dl7$FddlFbdl7$FidlFgdl7$F^elF\\el7$FcelFaelFeel F^z-F$6%7$7$FfzFfz7$FivFiv-F_w6&Faw$\")!\\DP\"FewF[il$\")viobFew-%*LIN ESTYLEG6#\"\"#-%+AXESLABELSG6%%!GFfil-%%FONTG6#%(DEFAULTG-%&TITLEG6$%@ Plot~a~function~and~its~inverseG-Fhil6%%*HELVETICAGFjil\"#9-%(SCALINGG 6#%,CONSTRAINEDG-%%VIEWG6$;FfzFivFjil" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve \+ 4" "Curve 5" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG*$),&\" \"\"F+*$)F'\"\"$F+F+#F+F.F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\" fG%$~-1G\"\"\"%%(~x)GF(*$),&*$)%\"xG\"\"$F(F(F(!\"\"#F(F0F(" }}{PARA 0 "" 0 "" {TEXT 277 19 "Problem 21, p. 150." }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$!#5\" \"!$!#\"*F*7$$!3cKLLe%G?y*!#<$!3%*>V'f23)o')!#;7$$!3EnmT&esBf*F0$!3&QK X<=h8I)F37$$!3ALL$3s%3z$*F0$!3)*Gp0?Is'*yF37$$!3iKL$e/$Qk\"*F0$!3#Guv5 m\"f)\\(F37$$!3cnmT5=q]*)F0$!3W@'**)*G1:6(F37$$!3uLL3_>f_()F0$!3w$Rnze 'ygnF37$$!3K++vo1YZ&)F0$!3#3#GQ)Q3fS'F37$$!3gLL3-OJN$)F0$!3KVv]%GXx/'F 37$$!3e++v$*o%Q7)F0$!3]`\"4`$))o*p&F37$$!3Kmmm\"RFj!zF0$!3Wj=U#G,5N&F3 7$$!3kKL$e4OZr(F0$!3At`$GI:<0&F37$$!3?+++v'\\!*\\(F0$!3.h<\"GguNs%F37$ $!3G+++DwZ#G(F0$!3LkD'e.[MS%F37$$!3#******\\KqP2(F0$!3tg]3hE#Q5%F37$$! 3qKL3-TC%)oF0$!3(\\\"pq&o\"GRQF37$$!3/mmm\"4z)emF0$!3E[Nuvq1MNF37$$!3M mmmm`'zY'F0$!3UY*R%)fdMG$F37$$!3O++v=t)eC'F0$!3)o?_)R36,IF37$$!3Ommm;1 J\\gF0$!3a/;p$*eTfFF37$$!3M***\\(=[jLeF0$!34MK&)>&HJ]#F37$$!3g***\\iXg #GcF0$!3[X(QjdJxE#F37$$!3xlm;aQ(RT&F0$!3,E+O*G66.#F37$$!3\\mmTg=><_F0$ !3l\"zR344>#=F37$$!3VLL$e*e$\\+&F0$!3J,,9K$Q\\g\"F37$$!3#GL$3-;Y%y%F0$ !33\")4=#G2\"*Q\"F37$$!3%)***\\73QDf%F0$!31VJx-1947F37$$!3_KL$3Ub_Q%F0 $!3t7[f5l/B5F37$$!3!*******\\@6rTF0$!3WBw(ycw\")R)F07$$!3q****\\PZhhRF 0$!3i\">x$G8R%p'F07$$!3Y***\\(=_\"*ePF0$!3Hc.v@OWH^F07$$!3+++]i>&Q`$F0 $!3'=5lGp4\")[$F07$$!3Pnmm;EiJLF0$!37_[))f#4(*4#F07$$!3`*****\\i*p:JF0 $!3C\"Q^A`Te2(!#=7$$!3zLL3-8/?HF0$\"3T)ou7%zeLZF^v7$$!3%))****\\2Nhq#F 0$\"3+^Z&e&H$on\"F07$$!30nmT&)f'[]#F0$\"35*e-^RYcs#F07$$!3G***\\Pz\"[% H#F0$\"3o&y\\\")H``t$F07$$!35nmm\"z#z)3#F0$\"3ur8[tY%pj%F07$$!3Y++voaX t=F0$\"3[:2h1Y;!\\&F07$$!3SKLLL+1m;F0$\"35N$H`'RCCiF07$$!31KL$eCoRX\"F 0$\"3qU$3,Mwf)oF07$$!3]lmT&oKOC\"F0$\"3GLLwVxP`uF07$$!3%*)*****\\hN]5F 0$\"3Wzr:e>v'*yF07$$!3)>lm;H%R)G)F^v$\"3!pne1?DIJ)F07$$!3^@LLLB72jF^v$ \"3:!oB(y??-')F07$$!3i(***\\(=tY>%F^v$\"3g&o+&or/C))F07$$!3#*))**\\7)* ys@F^v$\"37jpIW)*y_*)F07$$F*F*$\"\"*F*-%'COLOURG6&%$RGBGFfzFfz$\"*++++ \"!\")-F$6$7W7$F($!3)RnSN%*)*)eVF07$$!3E+++Wp\"e()F0$!3hf!\\%4V/9UF07$$ !3S+++#4m(G$)F0$!3uaK&[X$yiTF07$$!3/+++@OS,zF0$!3n4ZY&H[!RF07$$!3;+++$yaE \"eF0$!3Ez^+)=@([QF07$$!3M+++\">s%HaF0$!3A9oR4Xh)z$F07$$!3Q+++]$*4)*\\ F0$!3OQL6$R.9u$F07$$!3o******\\_&\\c%F0$!3!=dRqHjIo$F07$$!3%)******\\1 aZTF0$!3'fC*GdP&fi$F07$$!31+++/#)[oPF0$!3/6l$G9-Ld$F07$$!3.+++$=exJ$F0 $!3\\n3)>Rm'4NF07$$!3=+++L2$f$HF0$!3C^uXO;%[X$F07$$!3!)*****pju<\\#F0$ !3'\\E<5,_**Q$F07$$!3!)*****HB@')4#F0$!3B'[I[Kf9L$F07$$!3'******pjpsm \"F0$!3!fJ4IjygE$F07$$!3/+++74_c7F0$!3ucN:_.e-KF07$$!3]******zqZz#)F^v $!3*Gp)[ud&\\8$F07$$!3G++++s$QM%F^v$!3Gy]W\">W:2$F07$$!3c********4zr)* !#?$!3'oSzv%[k,IF07$$\"3#)********zw5VF^v$!3p$*o%RJss#HF07$$\"3a****** *RQ#\\\")F^v$!3y#[X/@d4'GF07$$\"3(*******f\"*[H7F0$!3OD='Ggjvy#F07$$\" 3'********pvxl\"F0$!3],(*y2Rl4FF07$$\"37+++I0xw?F0$!3s!)o8YI?JEF07$$\" 3++++g&p@[#F0$!39P\"y*)>/Ib#F07$$\"3(*******zgHKHF0$!3Y`_\")z4FjCF07$$ \"3w******pZvOLF0$!3/F\\*))Qd(zBF07$$\"31+++]2goPF0$!33^\"*RH_A(G#F07$ $\"3K++++u\"*fTF0$!3:zrks(=+?#F07$$\"3m******\\)Hxe%F0$!3Y$RiBWS05#F07 $$\"3=+++I!o-*\\F0$!3%*)QMW^JC+#F07$$\"3N+++5k.6aF0$!3m.!pU,cW*=F07$$ \"3J+++?WTAeF0$!3+oTr^$yDy\"F07$$\"3w******f!*3`iF0$!3/K7%ou!Qd;F07$$ \"3y******H*zym'F0$!3-unOY!Gr_\"F07$$\"3++++5N1#4(F0$!3!RIWEu!G\"Q\"F0 7$$\"3v******HYt7vF0$!3vL'\\!**[`>7F07$$\"3M++++xG**yF0$!3;Fk\"*o$[\" \\5F07$$\"3C******R6KU$)F0$!3_*zDJ>S(4\")F^v7$$\"3n+++N$[/a)F0$!3)*fK# z+C!znF^v7$$\"3K+++IbdQ()F0$!3W))F0$!3%* R#>DLwr%RF^v7$$\"3I+++X/#)\\*)F0$!3^oIF^$z+C#F^v7$$\"37******\\K-j*)F0 $!3E4UAcR$H#>F^v7$$\"37+++ggAw*)F0$!3%zss7-!)=a\"F^v7$$\"3s+++l)G%*)*) F0$!3r_b:]-;G5F^v7$%*undefinedGFg[m-Fjz6&F\\[lF][lFfzFfz-F$6%7$7$F(F(7 $$\"#5F*F_\\m-Fjz6&F\\[l$\")!\\DP\"F_[lFc\\m$\")viobF_[l-%*LINESTYLEG6 #\"\"#-%(SCALINGG6#%,CONSTRAINEDG-%&TITLEG6$%@Plot~a~function~and~its~ inverseG-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#9-%+AXESLABELSG6%%!GF\\^m-F d]m6#Fg]m-%%VIEWG6$;F(F_\\mFb^m" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG,&\"\"*\"\"\"*$)F'\"\"#F*!\"\"1F'\" \"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(, $*$,&\"\"*F(%\"xG!\"\"#F(\"\"#F/1F.F-" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 278 19 "Prob lem 23, p. 150." }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$\"\"%\"\"!$!\"\"F*7$$\"36+++DHyIT! #<$!3;VWGl#e*G)*!#=7$$\"3=++v[kdWUF0$!3$eQorgB=S*F37$$\"3))****\\n\"\\ DP%F0$!3()p0&z+ +vj=pD^F0$\"3M!\\H6s@=n#F37$$\"3')*****\\c.iD&F0$\"3s*3(=nRZ!y&F37$$\" 3C++]U$e6P&F0$\"3uzM2-?v+))F37$$\"3))*****\\>q0]&F0$\"3gPB754r^7F07$$ \"3=+++DM^IcF0$\"3MJ_5HSde;F07$$\"3))*****\\!ytbdF0$\"3mhF0$\"3w3QQ9n4\"\\$F07$$\"3'****\\(3wY_iF0$\"3-VzYG.htSF07 $$\"3#)******HOTqjF0$\"3Hw(*Gx2')=YF07$$\"3o***\\(3\">)*\\'F0$\"3]U;Zw b4\\_F07$$\"3r***\\isVIi'F0$\"3c$[>)*Qe.)eF07$$\"3=++](o:;v'F0$\"3'*)4 'p\"*))QrlF07$$\"3k++v$)[opoF0$\"3%RDB?L\"4NsF07$$\"3%*****\\i%Qq*pF0$ \"3MjVqX&RA)zF07$$\"3&****\\(QIKHrF0$\"3ML:&3oiEz)F07$$\"3#****\\7:xWC (F0$\"3a9L)\\)>jE&*F07$$\"37++]Zn%)otF0$\"3\"H893%G\"\\.\"!#;7$$\"3C++ +5FL(\\(F0$\"3^%fV%3O8B6Fat7$$\"3#)****\\d6.BwF0$\"3*)y:#oZNE@\"Fat7$$ \"3(****\\(o3lWxF0$\"3&H,$)G,TAI\"Fat7$$\"3O++]A))ozyF0$\"3&R9Vf`)>09F at7$$\"3e******Hk-,!)F0$\"3>aeN\\7#3]\"Fat7$$\"3A*****\\A!eI\")F0$\"3f /h^*Hphg\"Fat7$$\"3u***\\(=_(zC)F0$\"3%4T6fMHXq\"Fat7$$\"3M+++b*=jP)F0 $\"3TH#*efn@:=Fat7$$\"3g***\\(3/3(\\)F0$\"3L1jF?KPA>Fat7$$\"3(4+]P#4JB ')F0$\"3o3mw*Q+v.#Fat7$$\"3'))****\\KCnu)F0$\"3YpYv\"=RJ:#Fat7$$\"3s** *\\(=n#f())F0$\"319?mOhYxAFat7$$\"3\\******zRO+!*F0$\"3SV\"[K*RO+CFat7 $$\"30++]_!>w7*F0$\"3!)*4cZrZ#HDFat7$$\"3O++v)Q?QD*F0$\"3K?XsnGEgEFat7 $$\"3G+++5jyp$*F0$\"31Uj],0Y$y#Fat7$$\"3<++]Ujp-&*F0$\"32)GwPqmz#HFat7 $$\"3++++gEd@'*F0$\"3eZf;$[(*F0$\"3hvRVKyJ/KFat7$ $\"3-,+D6Ejp)*F0$\"3w]\\5*pe_M$Fat7$$\"#5F*$\"#NF*-%'COLOURG6&%$RGBG$F *F*F_[l$\"*++++\"!\")-F$6$7P7$$!3A+++]lfs**F3$\"35'e_YI[B0%F07$$!3m*** **\\840p)F3$\"3KM\"f-))o=O%F07$$!3@+++?S&RYv!4XF07$$!3W+++ ?M5J]F3$\"3aN1B1S!\\q%F07$$!3!)******>!G&pDF3$\"3!GS')\\&=+i[F07$$!3;+ +++?KwBFW$\"33#z'HK6\"))*\\F07$$\"3t******zs$Q^#F3$\"35MCcREl=^F07$$\" 3W++++82C^F3$\"3$e3@+j*zH_F07$$\"3K+++]o;BuF3$\"3%\\h54Wo*>`F07$$\"3** *******QS6+\"F0$\"3@@lm$p;YT&F07$$\"3#*******\\o-h7F0$\"3Jo@GC6n.bF07$ $\"3(*******4cZ6:F0$\"3-Oqt\"ejZe&F07$$\"3++++yq!*QX(3YKF0$\"3!)Gp.iO gggF07$$\"3$******\\PJK]$F0$\"3)3sp#\\=3AhF07$$\"3*******zwp$RPF0$\"3# \\\"RKj$4q<'F07$$\"3))*****\\#p2%*RF0$\"3Y&)e>XJuMiF07$$\"3%******z2Y' eUF0$\"3uLm@+Q<$H'F07$$\"3y*****>Ia*)[%F0$\"3Nr'Hcu^GM'F07$$\"3E+++&\\ $pPZF0$\"3cKK[.$[`R'F07$$\"3e******>am%*\\F0$\"3_B[0%e+%[kF07$$\"3k*** **\\JigC&F0$\"3)Q+=*QB@*\\'F07$$\"3++++QxjY\"=3xsF07$Fgz$\"3\")*Rb.zCmJ(F0-F\\[l6& F^[lF`[lF_[lF_[l-F$6%7$7$$!\"#F*F`jl7$FgzFgz-F\\[l6&F^[l$\")!\\DP\"Fb[ lFejl$\")viobFb[l-%*LINESTYLEG6#\"\"#-%&TITLEG6$%@Plot~a~function~and~ its~inverseG-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#9-%+AXESLABELSG6%%!GFj[ m-Fb[m6#Fe[m-%(SCALINGG6#%,CONSTRAINEDG-%%VIEWG6$;F`jlFgzFd\\m" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG,&*$),&F'\" \"\"\"\"%!\"\"\"\"#F,F,F,F.1F-F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/* &)%\"fG%$~-1G\"\"\"%%(~x)GF(,&\"\"%F(*$,&%\"xGF(F(F(#F(\"\"#F(1!\"\"F. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 280 19 "Problem \+ 24, p. 150." }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7M7$$!\"$ \"\"!$\"3Bic(=(*)eOI!#<7$$!3!******\\2<#pGF-$\"3X\"*>_L\"\\\"4HF-7$$!3 !)*****4bBav#F-$\"3mcr=,ek)z#F-7$$!32+++K3XFEF-$\"3c:v*>Uu[n#F-7$$!3)) *****z#)H')\\#F-$\"3K?OpU(>4b#F-7$$!3!******f3@/P#F-$\"32F-*y.>$GCF-7$ $!39+++r^b^AF-$\"3M_49/gZ:BF-7$$!3\"******4Sw%G@F-$\"3yD'eI&pk*>#F-7$$ !3(******4;)=,?F-$\"337!4'GB=\"3#F-7$$!3-+++O\"3V(=F-$\"3K**z$p&yvk>F- 7$$!3#******\\V'zViUC\"F-$\"3$\\pl_h\\.V\"F-7$$!3++++hkaI6F-$\"3 G+lBg/=Z8F-7$$!3s******\\XF`**!#=$\"3QU@#RU%)pD\"F-7$$!3u*******>#z2)) Ffp$\"37;ylc%e&*=\"F-7$$!3=+++5RKvuFfp$\"3N8m_$=!RB6F-7$$!3]*******pje H'Ffp$\"3k&HBmW*3x5F-7$$!3h******4*3=+&Ffp$\"3x)3wDt$3S5F-7$$!3!)***** *RFcpPFfp$\"3!*e=6N]a<5F-7$$!3'*******>J%Q[#Ffp$\"3M4w@K@305F-7$$!34++ +g6:.8Ffp$\"3g#R@#Grt+5F-7$$!35++++!Q:'H!#?$\"3+h#e'3+++5F-7$$\"3++++! RIKH\"Ffp$\"3)f&fPu_y#***Ffp7$$\"3/+++5:xWCFfp$\"3EtytpN0^**Ffp7$$\"3- +++![n%)o$Ffp$\"3XHu#f$>&)H)*Ffp7$$\"37++++rKt\\Ffp$\"3_PUIq1!>d*Ffp7$ $\"3u******z:JIiFfp$\"3$))e!RL?V=\"*Ffp7$$\"3%********o3lW(Ffp$\"3Q6wg [CQt$)Ffp7$$\"3V+++b%)p@\")Ffp$\"3%fW@$[:HVxFfp7$$\"3!)******>#))oz)Ff p$\"3]'[G^tgX$oFfp7$$\"3>+++SAB+\"*Ffp$\"3+\"4L*Qu(*oiFfp7$$\"3Y****** fid.%*Ffp$\"3&o=;:VjH_&Ffp7$$\"3m******p#[_b*Ffp$\"3>n5T9x:M]Ffp7$$\"3 &)******z-#pq*Ffp$\"3rMFfp7$$\"3;+++!H5l*)*Ffp$\"3sK1I)QA @8$Ffp7$$\"3e*****\\HGW$**Ffp$\"3q4;^$HuNp#Ffp7$$\"35++++jMs**Ffp$\"3z 8@eW9^A?Ffp7$%*undefinedGFhx-%'COLOURG6&%$RGBG$F*F*F]y$\"*++++\"!\")-F $6$7M7$F+F(7$F1F/7$F6F47$F;F97$F@F>7$FEFC7$FJFH7$FOFM7$FTFR7$FYFW7$Fhn Ffn7$F]oF[o7$FboF`o7$FgoFeo7$F\\pFjo7$FapF_p7$FgpFdp7$F\\qFjp7$FaqF_q7 $FfqFdq7$F[rFiq7$F`rF^r7$FerFcr7$FjrFhr7$F`sF]s7$FesFcs7$FjsFhs7$F_tF] t7$FdtFbt7$FitFgt7$F^uF\\u7$FcuFau7$FhuFfu7$F]vF[v7$FbvF`v7$FgvFev7$F \\wFjv7$FawF_w7$FfwFdw7$F[xFiw7$F`xF^x7$FexFcxFgxFix-F$6%7$7$F(F(7$$\" \"$F*Fc\\l-Fjx6&F\\y$\")!\\DP\"F`yFg\\l$\")viobF`y-%*LINESTYLEG6#\"\"# -%(SCALINGG6#%,CONSTRAINEDG-%&TITLEG6$%@Plot~a~function~and~its~invers eG-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#9-%+AXESLABELSG6%%!GF`^l-Fh]l6#F[ ^l-%%VIEWG6$;F(Fc\\lF[^l" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG*$),&\"\"\"F+*$)F'\"\"$F+!\"\"#F+F.F+" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(*$),&F(F (*$)%\"xG\"\"$F(!\"\"#F(F0F(" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 279 19 "Problem 25, p. 150." }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7ao7$$!\"# \"\"!$\"3Immmmmmmm!#=7$$!3!******\\2<#p=!#<$\"3Z>\"\\QnGZ^'F-7$$!31++D ^NUb'F-7$$!3%)****\\F) H')\\\"F1$\"3U3E#=_1y*fF-7$$!3#****\\i3@/P\"F1$\"3'*Q&Q9ES8y&F-7$$!3;+ +Dr^b^7F1$\"339T%pPD'ebF-7$$!3$****\\7Sw%G6F1$\"3-5Q\"zn.=I&F-7$$!3*** **\\7;)=,5F1$\"3z\"y8&R'oH+&F-7$$!3M++]i83V()F-$\"3uJ-BszpkYF-7$$!3B** ****\\V'zV(F-$\"3k9a>%o&QlUF-7$$!3%)*****\\d;%)G'F-$\"3o/XYAymgQF-7$$! 3#*)*****\\!)H%*\\F-$\"3&*e:kp\")zILF-7$$!3Q+++]d'[p$F-$\"31xEw1M*zp#F -7$$!3/******\\>iUCF-$\"3%y4ozq3J'>F-7$$!3B++]7YY08F-$\"3'R2YC+?Z:\"F- 7$$\"3%z-+++XDn%!#?$!3qP_%)p,[%p%Fgp7$$\"3C++++y?#>\"F-$!3AuY!R-$e`8F- 7$$\"3h****\\(3wY_#F-$!37Ie$QuYtP$F-7$$\"3F)******HOTq$F-$!3AY2dOUW$)e F-7$$\"3I,+](3\">)*\\F-$!3+W[ympw#***F-7$$\"3_,+]isVIiF-$!3+axV\"eFGl \"F17$$\"3&=++](o:;vF-$!3\\\"*eHb\">g-$F17$$\"3*=+]i&G]1\")F-$!3-+Ft5K B\"G%F17$$\"3#>++v$)[op)F-$!3ERWE[oqtmF17$$\"3J,]P%yK_,*F-$!3i_r\\8Toa \"*F17$$\"3p++DJnhL$*F-$!3Q2))[;zj+9!#;7$$\"3#4](o/(3G\\*F-$!3oS)41nU; (=F\\t7$$\"31+]7y1+_'*F-$!3)QuFz\")oNx#F\\t7$$\"33\\P%[m'fJ(*F-$!3o2A1 =htDOF\\t7$$\"3?*\\i:l#>6)*F-$!35*zmQ-/k>&F\\t7$$\"3Eu=#\\k!*4&)*F-$!3 \"\\w$\\T!))4h'F\\t7$$\"3K\\7GQ')y!*)*F-$!3?%f$>jkbc!*F\\t7$$\"3RC1kJm eI**F-$!3(yW#>#oW1V\"!#:7$$\"3W*****\\i%Qq**F-$!3Mg*HHZCmO$F`v7$$\"3Z7 y]bB<,5F1$\"3%4)4K;e$)R&)F`v7$$\"3+Dc^[iI05F1$\"3'eOT'41d%*=F`v7$$\"3` PM_T,W45F1$\"3STu*G:1$p5F`v7$$\"31]7`MSd85F1$\"3#Rq2TX1qY(F\\t7$$\"36v oa?=%=-\"F1$\"3i]S.LHPyYF\\t7$$\"3&**\\ilg4,.\"F1$\"3B%)fAf\"*>@MF\\t7 $$\"3%)\\Pfy^kY5F1$\"3.Tbi%HWQC#F\\t7$$\"3%***\\i]2=j5F1$\"3EFV>c0w#o \"F\\t7$$\"3%**\\(o%*=D'4\"F1$\"3\"Q6[teS*Q6F\\t7$$\"3&****\\(QIKH6F1$ \"3S3:([DuDt)F17$$\"3#******\\4+p=\"F1$\"3[2'e!p?X]jF17$$\"3#****\\7:x WC\"F1$\"3'oUw\")zh.4&F17$$\"37++]Zn%)o8F1$\"3z%y6@4`6r$F17$$\"3y***** *4FL(\\\"F1$\"3S[ht!QE2,$F17$$\"3#)****\\d6.B;F1$\"36#QmW;c]g#F17$$\"3 (****\\(o3lWF17$$\"36+++D-eI@F1$\"3)3GJTe,X)=F17 $$\"3u***\\(=_(zC#F1$\"3`h?ZizH,=F17$$\"3M+++b*=jP#F1$\"3&\\CMnwvls\"F 17$$\"3g***\\(3/3(\\#F1$\"3eWnL$zmzm\"F17$$\"33++vB4JBEF1$\"3#p]E6$\\- ;;F17$$\"3u*****\\KCnu#F1$\"3%)yUX&=+Dd\"F17$$\"3s***\\(=n#f(GF1$\"3Cs Kbj)pI`\"F17$$\"3P+++!)RO+IF1$\"3mmrb@!4**\\\"F17$$\"30++]_!>w7$F1$\"3 uLKZ^*3+Z\"F17$$\"3O++v)Q?QD$F1$\"3Kz/$*y5pV9F17$$\"3G+++5jypLF1$\"3#R WU\"F17$$\"3<++]Ujp-NF1$\"3)[_&**\\!p&*R\"F17$$\"3++++gEd@OF1$\" 3IJ'oHU]9Q\"F17$$\"39++v3'>$[PF1$\"3;k6***peQO\"F17$$\"37++D6EjpQF1$\" 3%3*HDkmZ[8F17$$\"\"%F*$\"3ELLLLLLL8F1-%'COLOURG6&%$RGBG$F*F*Fdal$\"*+ +++\"!\")-F$6$F&-Faal6&FcalFealFdalFdal-F$6%7$7$F(F(7$F\\alF\\al-Faal6 &Fcal$\")!\\DP\"FgalFcbl$\")viobFgal-%*LINESTYLEG6#\"\"#-%&TITLEG6$%@P lot~a~function~and~its~inverseG-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#9-%( SCALINGG6#%,CONSTRAINEDG-%+AXESLABELSG6%%!GF\\dl-F`cl6#Fccl-%%VIEWG6$; F(F\\alFbdl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 " Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"f G6#%\"xG*&F'\"\"\",&F'F)F)!\"\"F+0F'F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(*&%\"xGF(,&F+F(F(!\"\"F-0F+F(" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 281 19 "Problem \+ 26, p. 150." }{TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7G7$$\"\"!F)$\"\"\"F)7$$\"3d*****fmh)=()!#> $\"3Ga_]9#=>'**!#=7$$\"3.+++e'40j\"F2$\"3Kr$zfZwh')*F27$$\"33+++)Q&3d? F2$\"3/!**38.Lhy*F27$$\"3/+++<6m$[#F2$\"37igg[Bm'o*F27$$\"3*******pYkI \"HF2$\"3A%>]Z*yHm&*F27$$\"3&******p\"yYULF2$\"3(GS0$3f&[U*F27$$\"33++ +)GI)pPF2$\"3w!3&\\g;?i#*F27$$\"37+++eF>(>%F2$\"3+.2Y,(Rl2*F27$$\"3%)* ****RZ7Mf%F2$\"3!=7DE#))f#)))F27$$\"3A+++\">K'*)\\F2$\"3O(>whiJim)F27$ $\"3A+++gZ*)*R&F2$\"3_i2_%o8AxF2$\"3sTrUe]j`jF27$$\"3%)******H9lRzF2$\"3?d3S:GjzgF27$$\"3[*** ***H4sU$f^F27$$\"3K+++DI(yv)F2$\"3RX!**Q9sp#[F27$$\"3 9+++?VY\\*)F2$\"3!=Rn\"GgthWF27$$\"30+++;c0T\"*F2$\"3!4$H;1HwaSF27$$\" 3o******H))*)[#*F2$\"3)3QVck]B!QF27$$\"35+++S?uc$*F2$\"3e35Ft5lGNF27$$ \"3]+++]_ek%*F2$\"3Z,j2MVDGKF27$$\"3!)******f%GCd*F2$\"3OZX1vb&G*GF27$ $\"3A+++q;F!o*F2$\"3*ya+dy`%3DF27$$\"3_******z[6)y*F2$\"3[i.H7XjZ?F27$ $\"3t*****\\[O?%)*F2$\"3oB)f5Z+/x\"F27$$\"3#********3ef*)*F2$\"3*4)[%> 9a(Q9F27$$\"3$)*******))=H#**F2$\"39\"R_![eAR7F27$$\"39+++&pz)\\**F2$ \"35oB5h-Z****F/7$$\"3W++++0%o(**F2$\"3_8,QEZ'=!oF/7$%*undefinedGFhv-% 'COLOURG6&%$RGBGF(F($\"*++++\"!\")-F$6$F&-Fjv6&F\\wF]wF(F(-F$6%7$7$$! \"#F)Fhw7$$\"\"%F)F[x-Fjv6&F\\w$\")!\\DP\"F_wF_x$\")viobF_w-%*LINESTYL EG6#\"\"#-%&TITLEG6$%@Plot~a~function~and~its~inverseG-%%FONTG6%%*HELV ETICAG%(DEFAULTG\"#9-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLABELSG6%%!GFhy- F\\y6#F_y-%%VIEWG6$;F(F[x;FhwF[x" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG*$,&\"\"\"F**$)F'\"\"#F*!\"\"#F*F--% %&andG6$1\"\"!F'1F'F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~- 1G\"\"\"%%(~x)GF(*$,&F(F(*$)%\"xG\"\"#F(!\"\"#F(F/-%%&andG6$1\"\"!F.1F .F(" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Problem 5, p. 149." }{TEXT 256 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 535 "restart:\nf:=x->4*x- 3:\ng:=x->sort(solve(4*y-3=x,y)):\nxleft:=-3:\nxright:=3:\nytop:=3:\ny bot:=-3:\np1:=plot(f(x),x=xleft..xright,y=ybot..ytop,color=blue):\np2: =plot(g(x),x=xleft..xright,y=ybot..ytop,color=red):\np3:=plot([[xleft, xleft],[xright,xright]],linestyle=2,color=navy):\nplotfcns:=plots[disp lay](\n [p1,p2,p3],\n scaling=constrained,\n \+ labels=[``,``],\n titlefont=[HELVETICA,DEFAULT,14] ,\n title=`Plot a function and its inverse`):\nplotfcn s;\n'f(x)'=f(x);\n'f^(` -1`)'*`( x)`=g(x);\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$!\"$\"\"!$!#:F*7 $$!3!******\\2<#pG!#<$!3'*******HooZ9!#;7$$!3#)***\\7bBav#F0$!3$***** \\?%p@S\"F37$$!36++]K3XFEF0$!31+++L.)4N\"F37$$!3%)****\\F)H')\\#F0$!3% ******4$>X*H\"F37$$!3#****\\i3@/P#F0$!3)*****\\M%o\"[7F37$$!3;++Dr^b^A F0$!31++]o?i+7F37$$!3$****\\7Sw%G@F0$!3)*****\\g0R^6F37$$!3*****\\7;)= ,?F0$!3******\\k_Z+6F37$$!3/++DO\"3V(=F0$!3%*****\\aKs\\5F37$$!3#***** *\\V'zVx**)F07$$!3/+++vl[p8F0$!3G*******HYzZ)F07 $$!3\"******\\>iUC\"F0$!3i******z([q(zF07$$!3-++DhkaI6F0$!34+++Xe=AvF0 7$$!3s******\\XF`**!#=$!3!*******>)48)pF07$$!3u*******>#z2))Fgp$!3!*** ****zo6BlF07$$!3S++]7RKvuFgp$!3;+++l&H,*fF07$$!3s,+++P'eH'Fgp$!3p+++![ X$=bF07$$!3q)***\\7*3=+&Fgp$!3[*****\\cB2+&F07$$!3[)***\\PFcpPFgp$!3R* ****\\4Dy]%F07$$!3;)****\\7VQ[#Fgp$!3E******\\s`$*RF07$$!32)***\\i6:.8 Fgp$!3B*****\\Yg7_$F07$$!3Wb+++v`hH!#?$!3A+++]h%=,$F07$$\"3]****\\(QIK H\"Fgp$!3?+++Xyq#[#F07$$\"38****\\7:xWCFgp$!3N+++&R\"4A?F07$$\"3E,++vu Y)o$Fgp$!3\\******4IhC:F07$$\"3!z******4FL(\\Fgp$!3%3+++;p1,\"F07$$\"3 A)****\\d6.B'Fgp$!392+++Pvy]Fgp7$$\"3s****\\(o3lW(Fgp$!316+++DlR@!#>7$ $\"35*****\\A))oz)Fgp$\"3Y'*******Gb(=&Fgp7$$\"3e******Hk-,5F0$\"3J)** ***>d5/5F07$$\"36+++D-eI6F0$\"3U++++4KA:F07$$\"3u***\\(=_(zC\"F0$\"3!* )****\\(3!>*>F07$$\"3M+++b*=jP\"F0$\"3P,++?eF0DF07$$\"3g***\\(3/3(\\\" F0$\"3Q)****\\j@$))HF07$$\"33++vB4JB;F0$\"3K+++&pVK\\$F07$$\"3u*****\\ KCnu\"F0$\"3)*)******H(*o)RF07$$\"3s***\\(=n#f(=F0$\"3*))****\\(oq.XF0 7$$\"3P+++!)RO+?F0$\"3],++?fX,]F07$$\"30++]_!>w7#F0$\"3@+++5iZ5bF07$$ \"3O++v)Q?QD#F0$\"3R,++b:G:gF07$$\"3G+++5jypBF0$\"39,++S_9zkF07$$\"3<+ +]Ujp-DF0$\"3o+++q`y5qF07$$\"3++++gEd@EF0$\"3++++S1H'[(F07$$\"39++v3'> $[FF0$\"3c+++N%yK*zF07$$\"37++D6EjpGF0$\"3a+++X/`y%)F07$$\"\"$F*$\"\"* F*-%'COLOURG6&%$RGBG$F*F*F`[l$\"*++++\"!\")-F$6$7S7$F(F`[l7$F.$\"3k-++ DJdpKFau7$F5$\"3Q/+v=7T9hFau7$F:$\"3B(***\\(=HPJ*Fau7$F?$\"3S++DJaU`7F gp7$FD$\"3?+]P%GZRd\"Fgp7$FI$\"3i**\\(=276(=Fgp7$FN$\"3=+](o**3)y@Fgp7 $FS$\"3-+](ofHq\\#Fgp7$FX$\"3#***\\Pf'HU\"GFgp7$Fgn$\"3>++]7*309$Fgp7$ F\\o$\"3/++Dce*yU$Fgp7$Fao$\"3E++]([D9v$Fgp7$Ffo$\"3!*****\\iNGwSFgp7$ F[p$\"3C++]7XM*Q%Fgp7$F`p$\"3%***\\(o%QjtYFgp7$Fep$\"32++]i8o6]Fgp7$F[ q$\"31+++]>0)H&Fgp7$F`q$\"3!***\\(=-p6j&Fgp7$Feq$\"3d*****\\2Mg#fFgp7$ Fjq$\"3K+](=xZ&\\iFgp7$F_r$\"3Q+]i:$4wb'Fgp7$Fdr$\"3Y++v=#R!zoFgp7$Fir $\"3[+]P4A@urFgp7$F^s$\"3')***\\i:'f#\\(Fgp7$Fds$\"3))**\\(of2L#yFgp7$ Fis$\"3y**\\7yG>6\")Fgp7$F^t$\"3K++voo6A%)Fgp7$Fct$\"3Z*****\\xJLu)Fgp 7$Fht$\"3c***\\P*ydd!*Fgp7$F]u$\"3#***\\(=1 \"F07$Fgv$\"33++vQ(zS4\"F07$F\\w$\"3!**\\(=-,FC6F07$Faw$\"3-+v$4tFe:\" F07$Ffw$\"3#****\\73\"o'=\"F07$F[x$\"3$**\\(oz;)*=7F07$F`x$\"35+++&*44 ]7F07$Fex$\"3-+]7jZ!>G\"F07$Fjx$\"34+v=(4bMJ\"F07$F_y$\"32++]xlWU8F07$ Fdy$\"3/+]i&3ucP\"F07$Fiy$\"3++++lJR09F07$F^z$\"3.+v=-*zqV\"F07$Fcz$\" 3/+D\"G:3uY\"F07$Fhz$\"3++++++++:F0-F][l6&F_[lFa[lF`[lF`[l-F$6%7$7$F(F (7$FhzFhz-F][l6&F_[l$\")!\\DP\"Fc[lFael$\")viobFc[l-%*LINESTYLEG6#\"\" #-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLABELSG6%%!GF`fl-%%FONTG6#%(DEFAULT G-%&TITLEG6$%@Plot~a~function~and~its~inverseG-Fbfl6%%*HELVETICAGFdfl \"#9-%%VIEWG6$;F(FhzF`gl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG,&*&\"\"%\"\"\"F'F+F+\"\"$!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(,&*&\"\"%!\"\" %\"xGF(F(#\"\"$F,F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} }{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Problem 6, p. 149." }{TEXT 257 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 541 "restart:\nf:=x->(1/2 )*x-4:\ng:=x->sort(solve(f(y)=x,y)):\nxleft:=-30:\nxright:=30:\nytop:= 30:\nybot:=-30:\np1:=plot(f(x),x=xleft..xright,y=ybot..ytop,color=blue ):\np2:=plot(g(x),x=xleft..xright,y=ybot..ytop,color=red):\np3:=plot([ [xleft,xleft],[xright,xright]],linestyle=2,color=navy):\nplotfcns:=plo ts[display](\n [p1,p2,p3],\n scaling=constraine d,\n labels=[``,``],\n titlefont=[HELVETICA,DEFA ULT,14],\n title=`Plot a function and its inverse`):\n plotfcns;\n'f(x)'=f(x);\n'f^(` -1`)'*`( x)`=g(x);" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$!#I\"\"!$!#>F*7$ $!3!******\\2<#pG!#;$!38++]P&3Y$=F07$$!3+++D^NUbFF0$!3++]iviUC\"F0$!3)*****\\(4J@-\"F07$$!3)****\\7YY08\"F0$!3!****\\iI KFl*!#<7$$!3s******\\XF`**Fcp$!3')*****\\FPm(*)Fcp7$$!3^,+++Az2))Fcp$! 3w++++h*QS)Fcp7$$!3=-+]7RKvuFcp$!34,+Dc>mPxFcp7$$!3s,+++P'eH'Fcp$!3'3+ ++&=$z9(Fcp7$$!3f****\\7*3=+&Fcp$!3!)***\\iX/4]'Fcp7$$!3Q****\\PFcpPFc p$!3o***\\(o8y%)eFcp7$$!3%******\\7VQ[#Fcp$!3(*****\\i:#>C&Fcp7$$!3=(* **\\i6:.8Fcp$!3g)**\\7ev:l%Fcp7$$!3#y()****\\P:'HF,$!3R****\\(o2[,%Fcp 7$$\"3_****\\(QIKH\"Fcp$!3C++D1[Q`LFcp7$$\"3N(***\\7:xWCFcp$!3K,+vVUhx FFcp7$$\"3/.++vuY)o$Fcp$!3[)***\\iiwb@Fcp7$$\"3y)******4FL(\\Fcp$!3h++ +]kL8:Fcp7$$\"3x,++v:JIiFcp$!3;\"****\\7U%[))!#=7$$\"3s****\\(o3lW(Fcp $!3Q,+]ilXnFFjt7$$\"3W'****\\A))oz)Fcp$\"3E#)***\\7TW)RFjt7$$\"3e***** *Hk-,5F0$\"3*y*****\\@805Fcp7$$\"3$******\\A!eI6F0$\"3k*****\\7,Hl\"Fc p7$$\"3u***\\(=_(zC\"F0$\"3j)**\\P4w)RAFcp7$$\"3q+++b*=jP\"F0$\"3].++v Zf\")GFcp7$$\"3%****\\(3/3(\\\"F0$\"3u***\\P/-a[$Fcp7$$\"3E++vB4JB;F0$ \"3G,+v=Yb;TFcp7$$\"3e*****\\KCnu\"F0$\"3%y****\\i@Ot%Fcp7$$\"33++v=n# f(=F0$\"3Q++v$fL'z`Fcp7$$\"3?+++!)RO+?F0$\"3)4+++!*>=+'Fcp7$$\"3T++]_! >w7#F0$\"3/-+]i_4QmFcp7$$\"3O++v)Q?QD#F0$\"3u,+vV>5psFcp7$$\"3k+++5jyp BF0$\"3?.++]:$*[yFcp7$$\"3`++]Ujp-DF0$\"3j-+]7<[8&)Fcp7$$\"3l******fEd @EF0$\"3A)******Hjy5*Fcp7$$\"3]++v3'>$[FF0$\"3\\-+vV!)fT(*Fcp7$$\"3K++ D6EjpGF0$\"3;+]i0j\"[.\"F07$$\"#IF*$\"#6F*-%'COLOURG6&%$RGBG$F*F*F^[l$ \"*++++\"!\")-F$6$7S7$F($!#_F*7$F.$!3z******\\TVQ\\F07$F4$!3,++]-r%3r% F07$F9$!3))*****\\m,\\X%F07$F>$!3')*****\\lfs>%F07$FC$!3n****\\s@%3%RF 07$FH$!3x****\\U.6.PF07$FM$!3o****\\-G&pX$F07$FR$!3i****\\AjP-KF07$FW$ !3)*****\\sih[HF07$Ffn$!3I+++qGf(o#F07$F[o$!3))*****\\J$odCF07$F`o$!3) )******4'f))>#F07$Feo$!3N+++]J(*Q>F07$Fjo$!3!********QC&)o\"F07$F_p$!3 '*****\\AH4h9F07$Fep$!3%*******4\\l!>\"F07$Fjp$!3..+++We:'*Fcp7$F_q$!3 M/++Dyk]pFcp7$Fdq$!3W.+++us\"f%Fcp7$Fiq$!3>*****\\#yh.?Fcp7$F^r$\"3c7+ +]_u3YFjt7$Fcr$\"39+++]PJKIFcp7$Fhr$\"3i0++vwp$R&Fcp7$F]s$\"3W-++]#p2% zFcp7$Fbs$\"3#*****\\xgke5F07$Fgs$\"3[****\\-V&*)G\"F07$F\\t$\"3h+++& \\$pP:F07$Fat$\"3w******>am%z\"F07$Fft$\"3O+++:B1Y?F07$F\\u$\"3'***** \\P`9VgF07$F\\z$ \"3+,+]<#RmH'F07$Faz$\"3i++]A_ERlF07$Ffz$\"#oF*-F[[l6&F][lF_[lF^[lF^[l -F$6%7$7$F(F(7$FfzFfz-F[[l6&F][l$\")!\\DP\"Fa[lFael$\")viobFa[l-%*LINE STYLEG6#\"\"#-%+AXESLABELSG6%%!GF\\fl-%%FONTG6#%(DEFAULTG-%&TITLEG6$%@ Plot~a~function~and~its~inverseG-F^fl6%%*HELVETICAGF`fl\"#9-%(SCALINGG 6#%,CONSTRAINEDG-%%VIEWG6$;F(FfzF`gl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG,&*&\"\"#!\"\"F'\"\"\"F,\"\"%F+" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(,&*&\"\" #F(%\"xGF(F(\"\")F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} }{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Problem 11, p. 150." }{TEXT 258 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 538 "restart:\nf:=x->3*x- 5:\ng:=x->sort(solve(f(y)=x,y)):\nxleft:=-30:\nxright:=30:\nytop:=30: \nybot:=-30:\np1:=plot(f(x),x=xleft..xright,y=ybot..ytop,color=blue): \np2:=plot(g(x),x=xleft..xright,y=ybot..ytop,color=red):\np3:=plot([[x left,xleft],[xright,xright]],linestyle=2,color=navy):\nplotfcns:=plots [display](\n [p1,p2,p3],\n scaling=constrained, \n labels=[``,``],\n titlefont=[HELVETICA,DEFAUL T,14],\n title=`Plot a function and its inverse`):\npl otfcns;\n'f(x)'=f(x);\n'f^(` -1`)'*`( x)`=g(x);\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$!#I\"\"!$!#&*F*7 $$!3!******\\2<#pG!#;$!3L*****\\A^w5*F07$$!3+++D^NUbFF0$!3-++v`1Fm()F0 7$$!3%*****\\K3XFEF0$!3!)****\\(\\_BQ)F07$$!3%*****\\F)H')\\#F0$!3;++] #[*)e*zF07$$!3%)***\\i3@/P#F0$!3@++veKE6wF07$$!3!****\\7iUC\"F0$!3\\*****\\e'yKUF07$$!3)****\\7YY08\"F0$!3e***\\PQR;*QF07$$!3 s******\\XF`**!#<$!3c*****\\O#)f[$F07$$!3^,+++Az2))Ffp$!3Y+++gwLUJF07$ $!3=-+]7RKvuFfp$!3l++vtrfUFF07$$!3s,+++P'eH'Ffp$!3_+++5\"f()Q#F07$$!3f ****\\7*3=+&Ffp$!3))***\\PnU0+#F07$$!3Q****\\PFcpPFfp$!3\")***\\7#)o3j \"F07$$!3%******\\7VQ[#Ffp$!3)*****\\PH:X7F07$$!3=(***\\i6:.8Ffp$!3b\" ***\\([`%4*)Ffp7$$!3#y()****\\P:'H!#>$!3M'****\\7Y))3&Ffp7$$\"3_****\\ (QIKH\"Ffp$!3V,+]P)3.7\"Ffp7$$\"3N(***\\7:xWCFfp$\"32#***\\PXJMBFfp7$$ \"3/.++vuY)o$Ffp$\"394++DCSlgFfp7$$\"3y)******4FL(\\Ffp$\"3M'******H\" )*>**Ffp7$$\"3x,++v:JIiFfp$\"3a++]sM4p8F07$$\"3s****\\(o3lW(Ffp$\"3#** **\\ig_Rt\"F07$$\"3W'****\\A))oz)Ffp$\"3%*)***\\nk1R@F07$$\"3e******Hk -,5F0$\"3u)******GzI]#F07$$\"3$******\\A!eI6F0$\"3y*****\\nS<*GF07$$\" 3u***\\(=_(zC\"F0$\"3=***\\ilDRC$F07$$\"3q+++b*=jP\"F0$\"35-++lo&*GOF0 7$$\"3%****\\(3/3(\\\"F0$\"3%)***\\iAT7*RF07$$\"3E++vB4JB;F0$\"3y++DrF $*pVF07$$\"3e*****\\KCnu\"F0$\"3q)****\\(H4,bF07$$\"3T++]_!>w7#F0$\"3A,+]d r&G)eF07$$\"3O++v)Q?QD#F0$\"3/,+Dm6YhiF07$$\"3k+++5jypBF0$\"3#>+++$*e$ 4mF07$$\"3`++]Ujp-DF0$\"3e,+]F!*33qF07$$\"3l******fEd@EF0$\"3%*)*****z zrktF07$$\"3]++v3'>$[FF0$\"3],+DE)e\\u(F07$$\"3K++D6EjpGF0$\"3$4+]P$y* )3\")F07$$\"#IF*$\"#&)F*-%'COLOURG6&%$RGBG$F*F*F^[l$\"*++++\"!\")-F$6$ 7S7$F($!3#RLLLLLLL)Ffp7$F.$!3;)*****\\-R(*yFfp7$F4$!3zlm;/&y!=vFfp7$F9 $!3[*****\\x-:4(Ffp7$F>$!3I)****\\U*4imFfp7$FC$!3_lm;aptMiFfp7$FH$!3t) ***\\Ps^QeFfp7$FM$!3\">LL3na#GaFfp7$FR$!3Z)***\\P0'R+&Ffp7$FW$!3UKL$37 F5e%Ffp7$Ffn$!3cmmm;\"))f9%Ffp7$F[o$!3A*****\\_0Gw$Ffp7$F`o$!3`KLL$oK9 L$Ffp7$Feo$!3gLLL$e)G)*GFfp7$Fjo$!3)GLLL)R(3[#Ffp7$F_p$!3M****\\P:#=5# Ffp7$Fdp$!3?mmm;:4^;Ffp7$Fjp$!3!ommm1k#p7Ffp7$F_q$!3#)RLL3(z5D)!#=7$Fd q$!3tommmca>VF^_l7$Fiq$!3$o\\ILL3(Hg!#@7$F^r$\"3)4nm;ad95%F^_l7$Fcr$\" 3IMLL$e*=(Q)F^_l7$Fhr$\"3UML$e%HGK7Ffp7$F]s$\"3c+++v[zc;Ffp7$Fcs$\"3)* ****\\iMu(4#Ffp7$Fhs$\"3%fmmT]!f\"[#Ffp7$F]t$\"3+,++De:'*GFfp7$Fbt$\"3 EmmmmBWCLFfp7$Fgt$\"3bnmm\">PMu$Ffp7$F\\u$\"3Gmm;Hi$)[TFfp7$Fau$\"3=lm mTF'*)f%Ffp7$Ffu$\"3AKLLL9U.]Ffp7$F[v$\"38mmm;uENaFfp7$F`v$\"3Q****\\i SeEeFfp7$Fev$\"3Ipmm;lRaiFfp7$Fjv$\"3'GLLepMpl'Ffp7$F_w$\"3_nm;zIqxqFf p7$Fdw$\"3!>LLL3\"3*[(Ffp7$Fiw$\"3#pmm\"Hdv>zFfp7$F^x$\"3Z*******fYXL) Ffp7$Fcx$\"3=+++v,te()Ffp7$Fhx$\"3ILL$eH,%z\"*Ffp7$F]y$\"3?ommmV&fc*Ff p7$Fby$\"3RLL$3y)*3+\"F07$Fgy$\"3$)******>U_S5F07$F\\z$\"3mmm\"H?tF3\" F07$Faz$\"3lmmTq3@B6F07$Ffz$\"3immmmmmm6F0-F[[l6&F][lF_[lF^[lF^[l-F$6% 7$7$F(F(7$FfzFfz-F[[l6&F][l$\")!\\DP\"Fa[lFcel$\")viobFa[l-%*LINESTYLE G6#\"\"#-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLABELSG6%%!GFbfl-%%FONTG6#%( DEFAULTG-%&TITLEG6$%@Plot~a~function~and~its~inverseG-Fdfl6%%*HELVETIC AGFffl\"#9-%%VIEWG6$;F(FfzFbgl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG,&*&\"\"$\"\"\"F'F+F+\"\"&!\"\"" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(,&*&\"\" $!\"\"%\"xGF(F(#\"\"&F,F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Problem 13, p. 150." } {TEXT 259 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 524 "restart:\nf :=x->x^4:\ng:=x->x^(1/4):\nxleft:=-3:\nxright:=3:\nytop:=3:\nybot:=-3: \np1:=plot(f(x),x=0..xright,y=ybot..ytop,color=blue):\np2:=plot(g(x),x =xleft..xright,y=ybot..ytop,color=red):\np3:=plot([[xleft,xleft],[xrig ht,xright]],linestyle=2,color=navy):\nplotfcns:=plots[display](\n \+ [p1,p2,p3],\n scaling=constrained,\n lab els=[``,``],\n titlefont=[HELVETICA,DEFAULT,14],\n \+ title=`Plot a function and its inverse`):\nplotfcns;\n'f(x)'=f (x),x>=0;\n'f^(` -1`)'*`( x)`=g(x),x>=0;\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$\"\"!F)F(7$$\"3s ******\\i9Rl!#>$\"3#)pmS)oa%G=!#A7$$\"3/++vVA)GA\"!#=$\"382:)3tVjB#!#@ 7$$\"3+++]Peui=F4$\"3%)*>A%4l'R?\"!#?7$$\"3A++]i3&o]#F4$\"3#Qcug@W#\\R F=7$$\"3%)***\\(oX*y9$F4$\"3)**Grd;/$>)*F=7$$\"3z***\\P9CAu$F4$\"3Q3^o 6y=h>F-7$$\"3!)***\\P*zhdVF4$\"3l$feoQedg$F-7$$\"31++v$>fS*\\F4$\"3;>o fm)[.A'F-7$$\"3$)***\\(=$f%GcF4$\"3Ocb#3;%f.5F47$$\"3Q+++Dy,\"G'F4$\"3 %\\oJ9*fRc:F47$$\"33++]7Fgp7$$\"3 1+]Pa&4*\\7Fgp$\"3hUBC?(*pSCFgp7$$\"33+]7j=_68Fgp$\"3_hCFB#3(eHFgp7$$ \"33++vVy!eP\"Fgp$\"3Q#>J$41(Ge$Fgp7$$\"34+](=WU[V\"Fgp$\"3(4yAzdX&QUF gp7$$\"3)****\\7B>&)\\\"Fgp$\"3Tef_.#RD/&Fgp7$$\"3)***\\P>:mk:Fgp$\"37 (*)3)[^^$*fFgp7$$\"3'***\\iv&QAi\"Fgp$\"3&)4Y?4QiDpFgp7$$\"31++vtLU%o \"Fgp$\"3qM+`E(p,0)Fgp7$$\"3!******\\Nm'[Q6\\#*G7 F[u7$$\"3&****\\7TW)R>Fgp$\"3Ik$y`99gT\"F[u7$$\"3z*****\\@80+#Fgp$\"3f tKC?Hk,;F[u7$$\"31++]7,Hl?Fgp$\"37[?8\\NQ>=F[u7$$\"3()**\\P4w)R7#Fgp$ \"3!\\mf,&Q?N?F[u7$$\"3;++]x%f\")=#Fgp$\"3!y;KE_MDH#F[u7$$\"3!)**\\P/- a[AFgp$\"3KBnI,fCcDF[u7$$\"3/+](=Yb;J#Fgp$\"3W]xlZucbGF[u7$$\"3')**** \\i@OtBFgp$\"3%e\"Qs2w*G<$F[u7$$\"3')**\\PfL'zV#Fgp$\"31E\"f$pdrKNF[u7 $$\"3>+++!*>=+DFgp$\"3()ytqhvQ2RF[u7$$\"3-++DE&4Qc#Fgp$\"3Ee)ofr*e?VF[ u7$$\"3=+]P%>5pi#Fgp$\"3CYn$o$p!>w%F[u7$$\"39+++bJ*[o#Fgp$\"3u-?%)*Glk >&F[u7$$\"33++Dr\"[8v#Fgp$\"3@\\h[uROIdF[u7$$\"3++++Ijy5GFgp$\"3NgR#)* H@=C'F[u7$$\"31+]P/)fT(GFgp$\"3(*G#)36F2CoF[u7$$\"31+]i0j\"[$HFgp$\"3) e&*[)*oH'=uF[u7$$\"\"$F)$\"#\")F)-%'COLOURG6&%$RGBGF(F($\"*++++\"!\")- F$6$7F7$$\"3/+++I]Ns6F=$\"3!G1s^X'R]=F47$$\"3:+++g![iI&F=$\"3KNPjGF'*) p#F47$$\"3j*******3T,W*F=$\"3_OY()=h0m1$F4$\"3et@9$)odTuF47$$\"3-+++![n %)o$F4$\"3?0@#>EAJz(F47$$\"3z*******G(*3L%F4$\"3.`PZX(3B6)F47$$\"37+++ +rKt\\F4$\"3)*p=3vqs(R)F47$$\"3u******z:JIiF4$\"3%prC2Y'Q%)))F47$$\"3% ********o3lW(F4$\"3G(*G;N4T*G*F47$$\"3!)******>#))oz)F4$\"3CvngWHh%o*F 47$$\"3-+++Ik-,5Fgp$\"3+%)zy3lD+5Fgp7$$\"36+++D-eI6Fgp$\"3y3?T5$e6.\"F gp7$$\"3)*******=_(zC\"Fgp$\"31y*[S\"G%p0\"Fgp7$$\"3!******\\&*=jP\"Fg p$\"3un>kuz7$3\"Fgp7$$\"31+++4/3(\\\"Fgp$\"3#4GMk,Vh5\"Fgp7$$\"35+++C4 JB;Fgp$\"31fJ8DpvG6Fgp7$$\"3)******\\KCnu\"Fgp$\"3k2cl:Zi\\6Fgp7$$\"3' *******=n#f(=Fgp$\"3E>6\\A#=.<\"Fgp7$$\"3$*******zRO+?Fgp$\"3_*Hhs@h#* =\"Fgp7$$\"3,+++_!>w7#Fgp$\"3$Hb+%[+u27Fgp7$$\"3#*******)Q?QD#Fgp$\"3U R?yHWED7Fgp7$$\"3%)******4jypBFgp$\"34%y9z.I2C\"Fgp7$$\"38+++Ujp-DFgp$ \"33))zpRBxd7Fgp7$$\"3++++gEd@EFgp$\"3Kx!QQE\\CF\"Fgp7$$\"3;+++4'>$[FF gp$\"3%)=lIA!evG\"Fgp7$$\"35+++6EjpGFgp$\"3xJt+or`,8Fgp7$Fgz$\"3Q#\\_H ,ugJ\"Fgp-F\\[l6&F^[lF_[lF(F(-F$6%7$7$$!\"$F)F]gl7$FgzFgz-F\\[l6&F^[l$ \")!\\DP\"Fa[lFbgl$\")viobFa[l-%*LINESTYLEG6#\"\"#-%+AXESLABELSG6%%!GF ]hl-%%FONTG6#%(DEFAULTG-%(SCALINGG6#%,CONSTRAINEDG-%&TITLEG6$%@Plot~a~ function~and~its~inverseG-F_hl6%%*HELVETICAGFahl\"#9-%%VIEWG6$;F]glFgz Fail" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1 " "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"x G*$)F'\"\"%\"\"\"1\"\"!F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG %$~-1G\"\"\"%%(~x)GF(*$)%\"xG#F(\"\"%F(1\"\"!F," }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Prob lem 14, p. 150." }{TEXT 260 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 524 "restart:\nf:=x->1/x:\ng:=x->1/x:\nxleft:=-3:\nxright:=3:\nytop:=3 :\nybot:=-3:\np1:=plot(f(x),x=xleft..xright,y=ybot..ytop,color=blue): \np2:=plot(g(x),x=xleft..xright,y=ybot..ytop,color=red):\np3:=plot([[x left,xleft],[xright,xright]],linestyle=2,color=navy):\nplotfcns:=plots [display](\n [p1,p2,p3],\n scaling=constrained, \n labels=[``,``],\n titlefont=[HELVETICA,DEFAUL T,14],\n title=`Plot a function and its inverse`):\npl otfcns;\n'f(x)'=f(x),x<>0;\n'f^(` -1`)'*`( x)`=g(x),x<>0;\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7ao7$$!\"$ \"\"!$!3:LLLLLLLL!#=7$$!3!******\\2<#pG!#<$!3a!)3:E8F&[$F-7$$!3#)***\\ 7bBav#F1$!3tZ^T9h?HOF-7$$!36++]K3XFEF1$!3!yd\"[j.(f!QF-7$$!3%)****\\F) H')\\#F1$!3d\"Rx\"yM>-SF-7$$!3#****\\i3@/P#F1$!3fh9cQ(f'=UF-7$$!3;++Dr ^b^AF1$!3$f)e0BYPTWF-7$$!3$****\\7Sw%G@F1$!3a!>'3Aj>)p%F-7$$!3*****\\7 ;)=,?F1$!3kiUC\"F1$!3W->.#H\"*o.)F-7$$!3-++DhkaI6F1$!3YERb(**z_%))F-7$$!3s ******\\XF`**F-$!3>X)p,[%p/5F17$$!3u*******>#z2))F-$!3Un/R-$e`8\"F17$$ !3S++]7RKvuF-$!3&He$QuYtP8F17$$!3s,+++P'eH'F-$!3]uqlBWM)e\"F17$$!3q)** *\\7*3=+&F-$!3]%[ympw#**>F17$$!3[)***\\PFcpPF-$!3y`xV\"eFGl#F17$$!3;)* ***\\7VQ[#F-$!3\\\"*eHb\">g-%F17$$!35)**\\P9(\\$*=F-$!3-+Ft5KB\"G&F17$ $!32)***\\i6:.8F-$!3ERWE[oqtwF17$$!3%p)*\\i:sw%)*!#>$!3E:(\\8Toa,\"!#; 7$$!39$***\\(oKQm'Fds$!3Q2))[;zj+:Fgs7$$!3C'*\\7`H\">2&Fds$!3aQ)41nU;( >Fgs7$$!3O***\\(=K**zMFds$!3)QuFz\")oN(GFgs7$$!3!4]i:NLSo#Fds$!30>A1=h tDPFgs7$$!3W-]P%[t!))=Fds$!3s9o'Q-/kH&Fgs7$$!3A`7y]N4!\\\"Fds$!3R$y$\\ T!))4r'Fgs7$$!3+/v=jkbc\"*Fgs7$$!3qZv$f$oLTp!#?$!3s] C>#oW1W\"!#:7$$!3Wb+++v`hHF^v$!3Mg*HHZCmP$Fav7$$\"3![W7y]bB<\"F^v$\"3I $=@j\"e$)H&)Fav7$$\"3/X\\i:&[iI&F^v$\"3[&QT'41d%)=Fav7$$\"3GXuVB:9S%*F ^v$\"3y]u*G:1$f5Fav7$$\"3c%*\\7`MSd8Fds$\"3gjx5ak+ntFgs7$$\"3g%\\(oa?= %=#Fds$\"3W&3MI$HPyXFgs7$$\"3l%**\\ilg4,$Fds$\"3B%)fAf\"*>@LFgs7$$\"3w %*\\Pfy^kYFds$\"3qNbi%HWQ9#Fgs7$$\"3%[***\\i]2=jFds$\"33FV>c0w#e\"Fgs7 $$\"3/&**\\(o%*=D'*Fds$\"3\"Q6[teS*Q5Fgs7$$\"3]****\\(QIKH\"F-$\"3_2:( [DuDt(F17$$\"3K******\\4+p=F-$\"3[2'e!p?X]`F17$$\"38****\\7:xWCF-$\"3' oUw\")zh.4%F17$$\"3E,++vuY)o$F-$\"3z%y6@4`6r#F17$$\"3!z******4FL(\\F-$ \"3S[ht!QE2,#F17$$\"3A)****\\d6.B'F-$\"3)=QmW;c]g\"F17$$\"3s****\\(o3l W(F-$\"3:j.567\"HM\"F17$$\"35*****\\A))oz)F-$\"3Mk[&*3cwO6F17$$\"3e*** ***Hk-,5F1$\"3'3]#yCiu*)**F-7$$\"36+++D-eI6F1$\"3#)3GJTe,X))F-7$$\"3u* **\\(=_(zC\"F1$\"3J:1sC'zH,)F-7$$\"3M+++b*=jP\"F1$\"3a\\CMnwvlsF-7$$\" 3g***\\(3/3(\\\"F1$\"3!eWnL$zmzmF-7$$\"33++vB4JB;F1$\"3/o]E6$\\-;'F-7$ $\"3u*****\\KCnu\"F1$\"3U*yUX&=+DdF-7$$\"3s***\\(=n#f(=F1$\"3QAF`N')pI `F-7$$\"3P+++!)RO+?F1$\"35n;d:-4**\\F-7$$\"30++]_!>w7#F1$\"3$oLKZ^*3+Z F-7$$\"3O++v)Q?QD#F1$\"3@$z/$*y5pV%F-7$$\"3G+++5jypBF1$\"3NSWUF- 7$$\"3<++]Ujp-DF1$\"3]\\_&**\\!p&*RF-7$$\"3++++gEd@EF1$\"3`8joHU]9QF-7 $$\"39++v3'>$[FF1$\"3eT;\"***peQOF-7$$\"37++D6EjpGF1$\"3_4*HDkmZ[$F-7$ $\"\"$F*$\"3:LLLLLLLLF--%'COLOURG6&%$RGBG$F*F*Feal$\"*++++\"!\")-F$6$F &-Fbal6&FdalFfalFealFeal-F$6%7$7$F(F(7$F]alF]al-Fbal6&Fdal$\")!\\DP\"F halFdbl$\")viobFhal-%*LINESTYLEG6#\"\"#-%&TITLEG6$%@Plot~a~function~an d~its~inverseG-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#9-%+AXESLABELSG6%%!GF icl-Facl6#Fdcl-%(SCALINGG6#%,CONSTRAINEDG-%%VIEWG6$;F(F]alFcdl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG*&\"\"\"F)F '!\"\"0F'\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~-1G\"\" \"%%(~x)GF(*&F(F(%\"xG!\"\"0F+\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Problem 16, p. 150." }{TEXT 261 0 "" }{TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 528 "restart:\nf:=x->sqrt(5-x):\ng:=x->5-x^2:\nxleft:=-3: \nxright:=6:\nytop:=6:\nybot:=-3:\np1:=plot(f(x),x=xleft..xright,y=ybo t..ytop,color=blue):\np2:=plot(g(x),x=0..xright,y=ybot..ytop,color=red ):\np3:=plot([[xleft,xleft],[xright,xright]],linestyle=2,color=navy): \nplotfcns:=plots[display](\n [p1,p2,p3],\n sca ling=constrained,\n labels=[``,``],\n titlefont= [HELVETICA,DEFAULT,14],\n title=`Plot a function and i ts inverse`):\nplotfcns;\n'f(x)'=f(x),x<=5;\n'f^(` -1`)'*`( x)`=g(x),x >=0;\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CUR VESG6$7T7$$!\"$\"\"!$\"3H!>YZ7F%GG!#<7$$!3!)*****>hDQ!GF-$\"3m'R4#>G`$ z#F-7$$!3>+++F`8LEF-$\"3%*p#)QPH\"Gw#F-7$$!3>+++\\i&y s#F-7$$!3)******4uWzC#F-$\"3+6.]C2?#p#F-7$$!33+++H;jb?F-$\"3[sN'[*QCcE F-7$$!3-+++dFLx=F-$\"3B@I+ApYAEF-7$$!3))*****>g9Fp\"F-$\"3s4q$49Gqe#F- 7$$!3*******>C#y,:F-$\"3cTLDf#f)\\DF-7$$!3\"******R?i9J\"F-$\"3^NymnBE 7DF-7$$!3&******>l%p:6F-$\"3'3b)QbI*HZ#F-7$$!3c******f[iK%*!#=$\"3o7Ni O2)yV#F-7$$!3#*******zqW\"\\(F]o$\"3U_PJ9ut(R#F-7$$!3<+++?')HUbF]o$\"3 !3k0^OTnN#F-7$$!3Q+++?H$Rm$F]o$\"3`lv%)4xa;BF-7$$!3!*******>p>e>F]o$\" 3]0qusSVzAF-7$$\"3**********z\")3q!#?$\"3mjxa3-]MAF-7$$\"37++++#F-7$$\"3')******HT,(y$F]o$\"3]c7Z$e?(\\@F-7$$\"3i***** *\\W?cbF]o$\"3n/(Rorp\"3@F-7$$\"3i******HmG(\\(F]o$\"3cytk?'=;1#F-7$$ \"3u*******)elX$*F]o$\"3eM3XVAH;?F-7$$\"3/+++JNUF6F-$\"3I9Nt%H')y'>F-7 $$\"35+++Et_/8F-$\"3po(*fB7OA>F-7$$\"3%******Rpdb\\\"F-$\"3[%)*=Jd:?(= F-7$$\"3!******zb%)Rp\"F-$\"3F[x`a^C==F-7$$\"35+++Fdrm=F-$\"3QbkO[&3,x \"F-7$$\"3=+++@,F`?F-$\"3GF-$\"3%G1wWOSmZ\"F-7$$\"3\")*****\\kR:+$F-$\" 3;0,'36pOT\"F-7$$\"3=+++Q.(e>$F-$\"3&)Qb$*Q*yJM\"F-7$$\"3-+++GG'>P$F-$ \"3y>Q:*fXfF\"F-7$$\"3/+++K%yWc$F-$\"3ms/dLD8)>\"F-7$$\"3#)*****Hh?cu$ F-$\"3&H0Ixz!**>6F-7$$\"3:+++'Qm\\$RF-$\"3nC_$zl/?.\"F-7$$\"35+++)['3? TF-$\"3iX3tD0P!Q*F]o7$$\"3-+++y+*QJ%F-$\"3)eF5F]o7$ $\"3!******p`%)[*\\F-$\"3o7kA+lC_r!#>7$%*undefinedGF\\[l-%'COLOURG6&%$ RGBG$F*F*Fa[l$\"*++++\"!\")-F$6$7S7$Fa[l$\"\"&F*7$$\"3%*******\\#HyI\" F]o$\"3)RWGl#e*G)\\F-7$$\"33++]([kdW#F]o$\"3pQorgB=S\\F-7$$\"3++++v;\\ DPF]o$\"3mc]zt7]zi[ZF-7$$\"3o****\\P\" *y&H'F]o$\"3()p8O\"RIOg%F-7$$\"3e****\\(G[W[(F]o$\"3h$Q<$Q.$)RWF-7$$\" 3i****\\()fB:()F]o$\"34\\=#ohY/C%F-7$$\"39++](Q=\"))**F]o$\"3NWGx5\\P- SF-7$$\"3(****\\P'=pD6F-$\"3>^q)y#y\"Gt$F-7$$\"33+++lN?c7F-$\"3!3H\"G. E&>U$F-7$$\"3-++]U$e6P\"F-$\"3p_Ez*zC*>JF-7$$\"36+++&>q0]\"F-$\"3_hw() *3*G[FF-7$$\"3'******\\U80j\"F-$\"3cpZ*3(fUTBF-7$$\"35+++0ytbF-7$$\"3)****\\(QNXp=F-$\"3W-^XmM90:F-7$$\"3.+++XDn/?F-$\"3* >BKK()zG\")*F]o7$$\"3.+++!y?#>@F-$\"3[7>;cG.*3&F]o7$$\"3'****\\(3wY_AF -$!3/-VzYG.htFjz7$$\"3#)******HOTqBF-$!3'Gw(*Gx2')='F]o7$$\"37++v3\">) *\\#F-$!3;X;Zwb4\\7F-7$$\"3:++DEP/BEF-$!3K&[>)*Qe.)=F-7$$\"3=++](o:;v# F-$!3'*)4'p\"*))QrDF-7$$\"3=++v$)[opGF-$!3<_K-K84NKF-7$$\"3%*****\\i%Q q*HF-$!3MjVqX&RA)RF-7$$\"3&****\\(QIKHJF-$!3ML:&3oiEz%F-7$$\"3#****\\7 :xWC$F-$!3a9L)\\)>jEbF-7$$\"37++]Zn%)oLF-$!31H893%G\"\\jF-7$$\"3y***** *4FL(\\$F-$!3MVfV%3O8B(F-7$$\"3#)****\\d6.BOF-$!3%))y:#oZNE\")F-7$$\"3 (****\\(o3lWPF-$!3\\H,$)G,TA!*F-7$$\"3!*****\\A))ozQF-$!3fVJ%f`)>05!#; 7$$\"3e******Hk-,SF-$!3>aeN\\7#35\"Ffel7$$\"36+++D-eITF-$!3I0h^*Hph?\" Ffel7$$\"3u***\\(=_(zC%F-$!3%4T6fMHXI\"Ffel7$$\"3M+++b*=jP%F-$!3TH#*ef n@:9Ffel7$$\"3g***\\(3/3(\\%F-$!3L1jF?KPA:Ffel7$$\"33++vB4JBYF-$!3(zgm (*Q+vj\"Ffel7$$\"3u*****\\KCnu%F-$!3;qYv\"=RJv\"Ffel7$$\"3s***\\(=n#f( [F-$!319?mOhYx=Ffel7$$\"3P+++!)RO+]F-$!3ZW\"[K*RO+?Ffel7$$\"30++]_!>w7 &F-$!3!)*4cZrZ#H@Ffel7$$\"3O++v)Q?QD&F-$!3K?XsnGEgAFfel7$$\"3G+++5jyp` F-$!31Uj],0Y$Q#Ffel7$$\"3<++]Ujp-bF-$!32)GwPqmz_#Ffel7$$\"3++++gEd@cF- $!3eZf;$[dF-$!3hvRVKyJ/GFfel7$$\"37++D6EjpeF-$!3 M\\\\5*pe_%HFfel7$$\"\"'F*$!#JF*-F^[l6&F`[lFb[lFa[lFa[l-F$6%7$7$F(F(7$ FhjlFhjl-F^[l6&F`[l$\")!\\DP\"Fd[lFe[m$\")viobFd[l-%*LINESTYLEG6#\"\"# -%(SCALINGG6#%,CONSTRAINEDG-%&TITLEG6$%@Plot~a~function~and~its~invers eG-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#9-%+AXESLABELSG6%%!GF^]m-Ff\\m6#F i\\m-%%VIEWG6$;F(FhjlFd]m" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG*$,&\"\"&\"\"\"F'!\"\"#F+\"\"#1F'F*" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(,&\"\"&F (*$)%\"xG\"\"#F(!\"\"1\"\"!F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Problem 17, p. 150." } {TEXT 262 0 "" }{TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 531 "restart:\nf:=x->sqrt(4-x^2):\ng:=x->0:\nxleft:=-3:\nxright:=6:\ny top:=6:\nybot:=-3:\np1:=plot(f(x),x=xleft..xright,y=ybot..ytop,color=b lue):\np2:=plot(g(x),x=xleft..xright,y=ybot..ytop,color=red):\np3:=plo t([[xleft,xleft],[xright,xright]],linestyle=2,color=navy):\nplotfcns:= plots[display](\n [p1,p2,p3],\n scaling=constra ined,\n labels=[``,``],\n titlefont=[HELVETICA,D EFAULT,14],\n title=`Plot a function and its inverse`) :\nplotfcns;\n'f(x)'=f(x);\n'f^(` -1`)'*`( x) does not exist.`;\n" }} {PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7en7 $$!3#******>B8***>!#<$\"3]/y0Vm'H'=!#>7$$!3%******>RTV*>F*$\"3dE`zi)4M ]\"!#=7$$!3%******>bp())>F*$\"3ph;,P()\\;@F37$$!3'******>(eix>F*$\"3!) 3JLN#=K)HF37$$!31+++$>#[m>F*$\"3Yb&\\9b+ik$F37$$!3$******R$[>W>F*$\"3! H;,iN]:p%F37$$!3.+++vu!>#>F*$\"3RUGTz:=MbF37$$!3!******f6?'**=F*$\"355 ?I$*QaciF37$$!3-+++dFLx=F*$\"3iw:QGL`'*oF37$$!3.+++=#y6$=F*$\"3zK9*=u- B/)F37$$!37+++!oB]y\"F*$\"3fYbvl#z/-*F37$$!3!******49p)Qg9Fp\"F*$\"3OJQ]!4J_1\"F*7$$!3)******>^\")\\k\"F*$ \"3Q?kpapbP6F*7$$!3/+++A%[sf\"F*$\"3C$y-W.gO?\"F*7$$!3#******>L:&\\:F* $\"3ej\"p;g;XE\"F*7$$!3*******>C#y,:F*$\"3J@grM?&3K\"F*7$$!31+++BAi19F *$\"3!y%HGpVw@9F*7$$!3\"******R?i9J\"F*$\"3K=%\\b.*)*4:F*7$$!3$******z UyN@\"F*$\"3G:n^tbs*e\"F*7$$!3&******>l%p:6F*$\"3e0F%z<())f;F*7$$!3!** *****o&y%H5F*$\"3E+5YANp9cF*7$$!3 Q+++?H$Rm$F3$\"3K39)od_h'>F*7$$!3!*******>p>e>F3$\"395F!od!R!*>F*7$$\" 3**********z\")3q!#?$\"3Sb)z!>x)***>F*7$$\"37++++ *>F*7$$\"3')******HT,(y$F3$\"3C$)QcW!>Q'>F*7$$\"3i******\\W?cbF3$\"3pM k'R&>F@>F*7$$\"3i******HmG(\\(F3$\"3I-B*)f$fT&=F*7$$\"3o******f7Z@%)F3 $\"3(oH\"3\")H09=F*7$$\"3u*******)elX$*F3$\"3#\\vzD\"e@ol\"F*7$$\"3\" ******zUvf@\"F*$\"3Q90XnG*ye\"F*7$$\"35+++Et_/8F*$\"3iKv3>V)f^\"F*7$$ \"3-+++5D/+9F*$\"3\\eOL;SCG9F*7$$\"3%******Rpdb\\\"F*$\"3[[s)Hx&*yK\"F *7$$\"3%*******4W;X:F*$\"31\\3)[\\H)p7F*7$$\"3#******f7rZf\"F*$\"3/p7c p.%p?\"F*7$$\"3#******>%yPW;F*$\"30'3HhSH%Q6F*7$$\"3!******zb%)Rp\"F*$ \"3ennS#Q5K1\"F*7$$\"3++++]t;PF*$ \"3-j/Z*f;I#eF37$$\"31+++DOnO>F*$\"3AR2%)Gx%H*\\F37$$\"3-+++CH**f>F*$ \"3%=&[F.#)H!)RF37$$\"3%******Rd_;(>F*$\"3u\"RoEj&QbLF37$$\"3)******HA 7L)>F*$\"3E``$)z&G#yDF37$$\"3%******z/U\"*)>F*$\"3Mb7&H[*>\"3#F37$$\"3 /+++s=(\\*>F*$\"3crWj]UH<9F37$%*undefinedGF^]l-%'COLOURG6&%$RGBG$\"\"! Fd]lFc]l$\"*++++\"!\")-F$6$7S7$$!\"$Fd]lFc]l7$$!3%)****\\7c#Q!GF*Fc]l7 $$!3=+](oKNJj#F*Fc]l7$$!3s***\\([ie>F3Fc]l7$$\"3*=/++]<)3qF^tFc]l7$$\"3S++++GF*Fc]l7$$\"3P***** \\kR:+$F*Fc]l7$$\"3e++]P.(e>$F*Fc]l7$$\"3e**\\7GG'>P$F*Fc]l7$$\"3_++]K %yWc$F*Fc]l7$$\"3S**\\781iXPF*Fc]l7$$\"3n**\\i&Qm\\$RF*Fc]l7$$\"31++]( ['3?TF*Fc]l7$$\"3e**\\7y+*QJ%F*Fc]l7$$\"3,,++qfa+XF*Fc]l7$$\"31++vy&G9 p%F*Fc]l7$$\"3_+]7$eI2)[F*Fc]l7$$\"3a*****\\YzY0&F*Fc]l7$$\"3Q***\\P^W SD&F*Fc]l7$$\"3*3+++**eBV&F*Fc]l7$$\"3L**\\78%zCi&F*Fc]l7$$\"3v**\\(o \"*[W!eF*Fc]l7$$\"\"'Fd]lFc]l-F`]l6&Fb]lFe]lFc]lFc]l-F$6%7$7$F\\^lF\\^ l7$F\\glF\\gl-F`]l6&Fb]l$\")!\\DP\"Fg]lFggl$\")viobFg]l-%*LINESTYLEG6# \"\"#-%+AXESLABELSG6%%!GFbhl-%%FONTG6#%(DEFAULTG-%(SCALINGG6#%,CONSTRA INEDG-%&TITLEG6$%@Plot~a~function~and~its~inverseG-Fdhl6%%*HELVETICAGF fhl\"#9-%%VIEWG6$;F\\^lF\\glFfil" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG*$,&\"\"%\"\"\"*$)F'\"\"#F+!\"\"#F+F ." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&)%\"fG%$~-1G\"\"\"%5(~x)~does~n ot~exist.GF'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Problem 19, p. 150." }{TEXT 263 0 "" } {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 784 "restart:\nf :=x->(1+x^3)^(1/3):\ng:=x->(x^3-1)^(1/3):\nxleft:=-3:\nxright:=3:\nyto p:=3:\nybot:=-3:\n#p1:=plot(f(x),x=xleft..xright,y=ybot..ytop,color=bl ue):\n#p2:=plot(g(x),x=xleft..xright,y=ybot..ytop,color=red):\np1:=plo t([x,f(x),x=xleft..xright],y=ybot..ytop,color=blue):\np2:=plot([f(x),x ,x=xleft..xright],y=ybot..ytop,color=red):\np3:=plot([-f(-x),x,x=xleft ..xright],y=ybot..ytop,color=blue):\np4:=plot([x,-f(-x),x=xleft..xrigh t],y=ybot..ytop,color=red):\np5:=plot([[xleft,xleft],[xright,xright]], linestyle=2,color=navy):\nplotfcns:=plots[display](\n [p1,p 2,p3,p4,p5],\n scaling=constrained,\n labels=[` `,``],\n titlefont=[HELVETICA,DEFAULT,14],\n \+ title=`Plot a function and its inverse`):\nplotfcns;\n'f(x)'=f(x);\n 'f^(` -1`)'*`( x)`=g(x);\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6+-%'CURVESG6$7G7$$!3S+++&[Ib***!#=$\"3Zh$>-yVD5\"F*7$$!3 s******\\XF`**F*$\"38O&4sS)R2CF*7$$!3_******fR!pm*F*$\"3sx\"))e&F*7$$!3%********yiT4*F*$\"3A4)HelK #z2))F*$\"30CYJBfU;oF*7$$!3=+++5RKvuF*$\"3G`a6[BW]$ )F*7$$!3]*******pjeH'F*$\"3yW]$)*G+u3*F*7$$!3h******4*3=+&F*$\"3OtG&zP hTc*F*7$$!3!)******RFcpPF*$\"3'fd#R#3n\"=)*F*7$$!3'*******>J%Q[#F*$\"3 ;itK)zc'[**F*7$$!34+++g6:.8F*$\"3Y6_dMyh#***F*7$$!35++++!Q:'H!#?$\"2!* QZ[+\"Fdo7$$\"3-+++![n%)o$F*$\"3t:;T-ZX;5Fdo7$$\"37++++rKt\\F *$\"3\\]2>n$G%R5Fdo7$$\"3u******z:JIiF*$\"3]$))z!)Qo[2\"Fdo7$$\"3%**** ****o3lW(F*$\"3ybxvUx6A6Fdo7$$\"3!)******>#))oz)F*$\"3'e)4&z5h*)=\"Fdo 7$$\"3-+++Ik-,5Fdo$\"3_Jj&>*zcg7Fdo7$$\"36+++D-eI6Fdo$\"3iUwtQU?Z8Fdo7 $$\"3)*******=_(zC\"Fdo$\"3IK')f?A;L9Fdo7$$\"3!******\\&*=jP\"Fdo$\"3# RQ'*RSDO`\"Fdo7$$\"31+++4/3(\\\"Fdo$\"3oqV=!\\yIj\"Fdo7$$\"35+++C4JB;F do$\"3`wpFP!f5u\"Fdo7$$\"3)******\\KCnu\"Fdo$\"3%HHY*Rqx\\=Fdo7$$\"3'* ******=n#f(=Fdo$\"3s?%)R65Bm>Fdo7$$\"3$*******zRO+?Fdo$\"3W#f.FK?/3#Fd o7$$\"3,+++_!>w7#Fdo$\"3!G+Kn@W))>#Fdo7$$\"3#*******)Q?QD#Fdo$\"3ToX( \\0=wJ#Fdo7$$\"3%)******4jypBFdo$\"3[Wq.#=9xU#Fdo7$$\"38+++Ujp-DFdo$\" 3!=oPEj@[b#Fdo7$$\"3++++gEd@EFdo$\"3K5[k)\\.#pEFdo7$$\"3;+++4'>$[FFdo$ \"3e67s./w\"z#Fdo7$$\"35+++6EjpGFdo$\"32;'*eULb4HFdo7$$\"\"$\"\"!$\"3B ic(=(*)eOIFdo-%'COLOURG6&%$RGBG$F[wF[wFbw$\"*++++\"!\")-F$6$7G7$F+F(7$ F0F.7$F5F37$F:F87$F?F=7$FDFB7$FIFG7$FNFL7$FSFQ7$FXFV7$FgnFen7$F\\oFjn7 $FboF_o7$FhoFfo7$F]pF[p7$FbpF`p7$FgpFep7$F\\qFjp7$FaqF_q7$FfqFdq7$F[rF iq7$F`rF^r7$FerFcr7$FjrFhr7$F_sF]s7$FdsFbs7$FisFgs7$F^tF\\t7$FctFat7$F htFft7$F]uF[u7$FbuF`u7$FguFeu7$F\\vFju7$FavF_v7$FfvFdv7$F\\wFiv-F_w6&F awFcwFbwFbw-F$6$7M7$$!3Bic(=(*)eOIFdo$!\"$F[w7$$!3X\"*>_L\"\\\"4HFdo$! 3!******\\2<#pGFdo7$$!3mcr=,ek)z#Fdo$!3!)*****4bBav#Fdo7$$!3c:v*>Uu[n# Fdo$!32+++K3XFEFdo7$$!3K?OpU(>4b#Fdo$!3))*****z#)H')\\#Fdo7$$!32F-*y.> $GCFdo$!3!******f3@/P#Fdo7$$!3M_49/gZ:BFdo$!39+++r^b^AFdo7$$!3yD'eI&pk *>#Fdo$!3\"******4Sw%G@Fdo7$$!337!4'GB=\"3#Fdo$!3(******4;)=,?Fdo7$$!3 K**z$p&yvk>Fdo$!3-+++O\"3V(=Fdo7$$!3[xL)f)p;Z=Fdo$!3#******\\V'zViUC\"Fdo7$$!3G+lBg/=Z8Fdo$!3++++hkaI6Fdo7$$!3QU@#RU%)pD\"FdoF. 7$$!37;ylc%e&*=\"FdoFB7$$!3N8m_$=!RB6FdoFG7$$!3k&HBmW*3x5FdoFL7$$!3x)3 wDt$3S5FdoFQ7$$!3!*e=6N]a<5FdoFV7$$!3M4w@K@305FdoFen7$$!3g#R@#Grt+5Fdo Fjn7$$!3+h#e'3+++5FdoF_o7$$!3)f&fPu_y#***F*Ffo7$$!3EtytpN0^**F*F[p7$$! 3XHu#f$>&)H)*F*F`p7$$!3_PUIq1!>d*F*Fep7$$!3$))e!RL?V=\"*F*Fjp7$$!3Q6wg [CQt$)F*F_q7$$!3%fW@$[:HVxF*$\"3V+++b%)p@\")F*7$$!3]'[G^tgX$oF*Fdq7$$! 3+\"4L*Qu(*oiF*$\"3>+++SAB+\"*F*7$$!3&o=;:VjH_&F*$\"3Y******fid.%*F*7$ $!3>n5T9x:M]F*$\"3m******p#[_b*F*7$$!3rMF*$\"3/+++!H#fe)*F*7 $$!3sK1I)QA@8$F*$\"3;+++!H5l*)*F*7$$!3q4;^$HuNp#F*$\"3e*****\\HGW$**F* 7$$!3z8@eW9^A?F*$\"35++++jMs**F*7$%*undefinedGFfelF^w-F$6$7M7$FfzFdz7$ F[[lFiz7$F`[lF^[l7$Fe[lFc[l7$Fj[lFh[l7$F_\\lF]\\l7$Fd\\lFb\\l7$Fi\\lFg \\l7$F^]lF\\]l7$Fc]lFa]l7$Fh]lFf]l7$F]^lF[^l7$Fb^lF`^l7$Fg^lFe^l7$F\\_ lFj^l7$Fa_lF__l7$F.Fd_l7$FBFg_l7$FGFj_l7$FLF]`l7$FQF``l7$FVFc`l7$FenFf `l7$FjnFi`l7$F_oF\\al7$FfoF_al7$F[pFbal7$F`pFeal7$FepFhal7$FjpF[bl7$F_ qF^bl7$FcblFabl7$FdqFfbl7$F[clFibl7$F`clF^cl7$FeclFccl7$FjclFhcl7$F_dl F]dl7$FddlFbdl7$FidlFgdl7$F^elF\\el7$FcelFaelFeelF^z-F$6%7$7$FfzFfz7$F ivFiv-F_w6&Faw$\")!\\DP\"FewF[il$\")viobFew-%*LINESTYLEG6#\"\"#-%+AXES LABELSG6%%!GFfil-%%FONTG6#%(DEFAULTG-%&TITLEG6$%@Plot~a~function~and~i ts~inverseG-Fhil6%%*HELVETICAGFjil\"#9-%(SCALINGG6#%,CONSTRAINEDG-%%VI EWG6$;FfzFivFjil" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG*$),&\"\"\"F+*$)F'\"\"$F+F+#F+F.F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(*$),&* $)%\"xG\"\"$F(F(F(!\"\"#F(F0F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Problem 21, p. 150. " }{TEXT 264 0 "" }{TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 532 "restart:\nf:=x->9-x^2:\ng:=x->-sqrt(9-x):\nxleft:=-10:\nxrigh t:=10:\nytop:=10:\nybot:=-10:\np1:=plot(f(x),x=xleft..0,y=ybot..ytop,c olor=blue):\np2:=plot(g(x),x=xleft..xright,y=ybot..ytop,color=red):\np 3:=plot([[xleft,xleft],[xright,xright]],linestyle=2,color=navy):\nplot fcns:=plots[display](\n [p1,p2,p3],\n scaling=c onstrained,\n labels=[``,``],\n titlefont=[HELVE TICA,DEFAULT,14],\n title=`Plot a function and its inv erse`):\nplotfcns;\n'f(x)'=f(x),x<=0;\n'f^(` -1`)'*`( x)`=g(x),x<=9;\n " }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$ 7S7$$!#5\"\"!$!#\"*F*7$$!3cKLLe%G?y*!#<$!3%*>V'f23)o')!#;7$$!3EnmT&esB f*F0$!3&QKX<=h8I)F37$$!3ALL$3s%3z$*F0$!3)*Gp0?Is'*yF37$$!3iKL$e/$Qk\"* F0$!3#Guv5m\"f)\\(F37$$!3cnmT5=q]*)F0$!3W@'**)*G1:6(F37$$!3uLL3_>f_()F 0$!3w$Rnze'ygnF37$$!3K++vo1YZ&)F0$!3#3#GQ)Q3fS'F37$$!3gLL3-OJN$)F0$!3K Vv]%GXx/'F37$$!3e++v$*o%Q7)F0$!3]`\"4`$))o*p&F37$$!3Kmmm\"RFj!zF0$!3Wj =U#G,5N&F37$$!3kKL$e4OZr(F0$!3At`$GI:<0&F37$$!3?+++v'\\!*\\(F0$!3.h<\" GguNs%F37$$!3G+++DwZ#G(F0$!3LkD'e.[MS%F37$$!3#******\\KqP2(F0$!3tg]3hE #Q5%F37$$!3qKL3-TC%)oF0$!3(\\\"pq&o\"GRQF37$$!3/mmm\"4z)emF0$!3E[Nuvq1 MNF37$$!3Mmmmm`'zY'F0$!3UY*R%)fdMG$F37$$!3O++v=t)eC'F0$!3)o?_)R36,IF37 $$!3Ommm;1J\\gF0$!3a/;p$*eTfFF37$$!3M***\\(=[jLeF0$!34MK&)>&HJ]#F37$$! 3g***\\iXg#GcF0$!3[X(QjdJxE#F37$$!3xlm;aQ(RT&F0$!3,E+O*G66.#F37$$!3\\m mTg=><_F0$!3l\"zR344>#=F37$$!3VLL$e*e$\\+&F0$!3J,,9K$Q\\g\"F37$$!3#GL$ 3-;Y%y%F0$!33\")4=#G2\"*Q\"F37$$!3%)***\\73QDf%F0$!31VJx-1947F37$$!3_K L$3Ub_Q%F0$!3t7[f5l/B5F37$$!3!*******\\@6rTF0$!3WBw(ycw\")R)F07$$!3q** **\\PZhhRF0$!3i\">x$G8R%p'F07$$!3Y***\\(=_\"*ePF0$!3Hc.v@OWH^F07$$!3++ +]i>&Q`$F0$!3'=5lGp4\")[$F07$$!3Pnmm;EiJLF0$!37_[))f#4(*4#F07$$!3`**** *\\i*p:JF0$!3C\"Q^A`Te2(!#=7$$!3zLL3-8/?HF0$\"3T)ou7%zeLZF^v7$$!3%))** **\\2Nhq#F0$\"3+^Z&e&H$on\"F07$$!30nmT&)f'[]#F0$\"35*e-^RYcs#F07$$!3G* **\\Pz\"[%H#F0$\"3o&y\\\")H``t$F07$$!35nmm\"z#z)3#F0$\"3ur8[tY%pj%F07$ $!3Y++voaXt=F0$\"3[:2h1Y;!\\&F07$$!3SKLLL+1m;F0$\"35N$H`'RCCiF07$$!31K L$eCoRX\"F0$\"3qU$3,Mwf)oF07$$!3]lmT&oKOC\"F0$\"3GLLwVxP`uF07$$!3%*)** ***\\hN]5F0$\"3Wzr:e>v'*yF07$$!3)>lm;H%R)G)F^v$\"3!pne1?DIJ)F07$$!3^@L LLB72jF^v$\"3:!oB(y??-')F07$$!3i(***\\(=tY>%F^v$\"3g&o+&or/C))F07$$!3# *))**\\7)*ys@F^v$\"37jpIW)*y_*)F07$$F*F*$\"\"*F*-%'COLOURG6&%$RGBGFfzF fz$\"*++++\"!\")-F$6$7W7$F($!3)RnSN%*)*)eVF07$$!3E+++Wp\"e()F0$!3hf!\\% 4V/9UF07$$!3S+++#4m(G$)F0$!3uaK&[X$yiTF07$$!3/+++@OS,zF0$!3n4ZY&H[!RF07$$ !3;+++$yaE\"eF0$!3Ez^+)=@([QF07$$!3M+++\">s%HaF0$!3A9oR4Xh)z$F07$$!3Q+ ++]$*4)*\\F0$!3OQL6$R.9u$F07$$!3o******\\_&\\c%F0$!3!=dRqHjIo$F07$$!3% )******\\1aZTF0$!3'fC*GdP&fi$F07$$!31+++/#)[oPF0$!3/6l$G9-Ld$F07$$!3.+ ++$=exJ$F0$!3\\n3)>Rm'4NF07$$!3=+++L2$f$HF0$!3C^uXO;%[X$F07$$!3!)***** pju<\\#F0$!3'\\E<5,_**Q$F07$$!3!)*****HB@')4#F0$!3B'[I[Kf9L$F07$$!3'** ****pjpsm\"F0$!3!fJ4IjygE$F07$$!3/+++74_c7F0$!3ucN:_.e-KF07$$!3]****** zqZz#)F^v$!3*Gp)[ud&\\8$F07$$!3G++++s$QM%F^v$!3Gy]W\">W:2$F07$$!3c**** ****4zr)*!#?$!3'oSzv%[k,IF07$$\"3#)********zw5VF^v$!3p$*o%RJss#HF07$$ \"3a*******RQ#\\\")F^v$!3y#[X/@d4'GF07$$\"3(*******f\"*[H7F0$!3OD='Ggj vy#F07$$\"3'********pvxl\"F0$!3],(*y2Rl4FF07$$\"37+++I0xw?F0$!3s!)o8YI ?JEF07$$\"3++++g&p@[#F0$!39P\"y*)>/Ib#F07$$\"3(*******zgHKHF0$!3Y`_\") z4FjCF07$$\"3w******pZvOLF0$!3/F\\*))Qd(zBF07$$\"31+++]2goPF0$!33^\"*R H_A(G#F07$$\"3K++++u\"*fTF0$!3:zrks(=+?#F07$$\"3m******\\)Hxe%F0$!3Y$R iBWS05#F07$$\"3=+++I!o-*\\F0$!3%*)QMW^JC+#F07$$\"3N+++5k.6aF0$!3m.!pU, cW*=F07$$\"3J+++?WTAeF0$!3+oTr^$yDy\"F07$$\"3w******f!*3`iF0$!3/K7%ou! Qd;F07$$\"3y******H*zym'F0$!3-unOY!Gr_\"F07$$\"3++++5N1#4(F0$!3!RIWEu! G\"Q\"F07$$\"3v******HYt7vF0$!3vL'\\!**[`>7F07$$\"3M++++xG**yF0$!3;Fk \"*o$[\"\\5F07$$\"3C******R6KU$)F0$!3_*zDJ>S(4\")F^v7$$\"3n+++N$[/a)F0 $!3)*fK#z+C!znF^v7$$\"3K+++IbdQ()F0$!3W) )F0$!3%*R#>DLwr%RF^v7$$\"3I+++X/#)\\*)F0$!3^oIF^$z+C#F^v7$$\"37****** \\K-j*)F0$!3E4UAcR$H#>F^v7$$\"37+++ggAw*)F0$!3%zss7-!)=a\"F^v7$$\"3s++ +l)G%*)*)F0$!3r_b:]-;G5F^v7$%*undefinedGFg[m-Fjz6&F\\[lF][lFfzFfz-F$6% 7$7$F(F(7$$\"#5F*F_\\m-Fjz6&F\\[l$\")!\\DP\"F_[lFc\\m$\")viobF_[l-%*LI NESTYLEG6#\"\"#-%(SCALINGG6#%,CONSTRAINEDG-%&TITLEG6$%@Plot~a~function ~and~its~inverseG-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#9-%+AXESLABELSG6%% !GF\\^m-Fd]m6#Fg]m-%%VIEWG6$;F(F_\\mFb^m" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}} {PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG,&\"\"*\"\"\"*$)F'\"\"#F *!\"\"1F'\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~-1G\"\" \"%%(~x)GF(,$*$,&\"\"*F(%\"xG!\"\"#F(\"\"#F/1F.F-" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Pr oblem 23, p. 150." }{TEXT 265 0 "" }{TEXT -1 0 "" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 537 "restart:\nf:=x->(x-4)^2-1:\ng:=x->4+sqrt(x+1) :\nxleft:=-2:\nxright:=10:\nytop:=10:\nybot:=-2:\np1:=plot(f(x),x=4..x right,y=ybot..ytop,color=blue):\np2:=plot(g(x),x=xleft..xright,y=ybot. .ytop,color=red):\np3:=plot([[xleft,xleft],[xright,xright]],linestyle= 2,color=navy):\nplotfcns:=plots[display](\n [p1,p2,p3],\n \+ scaling=constrained,\n labels=[``,``],\n \+ titlefont=[HELVETICA,DEFAULT,14],\n title=`Plot a \+ function and its inverse`):\nplotfcns;\n'f(x)'=f(x),x>=4;\n'f^(` -1`)' *`( x)`=g(x),x>=-1;\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$\"\"%\"\"!$!\"\"F*7$$\"36+++DHyIT!#<$! 3;VWGl#e*G)*!#=7$$\"3=++v[kdWUF0$!3$eQorgB=S*F37$$\"3))****\\n\"\\DP%F 0$!3()p0&z++vj=p D^F0$\"3M!\\H6s@=n#F37$$\"3')*****\\c.iD&F0$\"3s*3(=nRZ!y&F37$$\"3C++] U$e6P&F0$\"3uzM2-?v+))F37$$\"3))*****\\>q0]&F0$\"3gPB754r^7F07$$\"3=++ +DM^IcF0$\"3MJ_5HSde;F07$$\"3))*****\\!ytbdF0$\"3mhF0$\"3w3QQ9n4\"\\$F07$$\"3'****\\(3wY_iF0$\"3-VzYG.htSF07$$\"3#) ******HOTqjF0$\"3Hw(*Gx2')=YF07$$\"3o***\\(3\">)*\\'F0$\"3]U;Zwb4\\_F0 7$$\"3r***\\isVIi'F0$\"3c$[>)*Qe.)eF07$$\"3=++](o:;v'F0$\"3'*)4'p\"*)) QrlF07$$\"3k++v$)[opoF0$\"3%RDB?L\"4NsF07$$\"3%*****\\i%Qq*pF0$\"3MjVq X&RA)zF07$$\"3&****\\(QIKHrF0$\"3ML:&3oiEz)F07$$\"3#****\\7:xWC(F0$\"3 a9L)\\)>jE&*F07$$\"37++]Zn%)otF0$\"3\"H893%G\"\\.\"!#;7$$\"3C+++5FL(\\ (F0$\"3^%fV%3O8B6Fat7$$\"3#)****\\d6.BwF0$\"3*)y:#oZNE@\"Fat7$$\"3(*** *\\(o3lWxF0$\"3&H,$)G,TAI\"Fat7$$\"3O++]A))ozyF0$\"3&R9Vf`)>09Fat7$$\" 3e******Hk-,!)F0$\"3>aeN\\7#3]\"Fat7$$\"3A*****\\A!eI\")F0$\"3f/h^*Hph g\"Fat7$$\"3u***\\(=_(zC)F0$\"3%4T6fMHXq\"Fat7$$\"3M+++b*=jP)F0$\"3TH# *efn@:=Fat7$$\"3g***\\(3/3(\\)F0$\"3L1jF?KPA>Fat7$$\"3(4+]P#4JB')F0$\" 3o3mw*Q+v.#Fat7$$\"3'))****\\KCnu)F0$\"3YpYv\"=RJ:#Fat7$$\"3s***\\(=n# f())F0$\"319?mOhYxAFat7$$\"3\\******zRO+!*F0$\"3SV\"[K*RO+CFat7$$\"30+ +]_!>w7*F0$\"3!)*4cZrZ#HDFat7$$\"3O++v)Q?QD*F0$\"3K?XsnGEgEFat7$$\"3G+ ++5jyp$*F0$\"31Uj],0Y$y#Fat7$$\"3<++]Ujp-&*F0$\"32)GwPqmz#HFat7$$\"3++ ++gEd@'*F0$\"3eZf;$[(*F0$\"3hvRVKyJ/KFat7$$\"3-,+ D6Ejp)*F0$\"3w]\\5*pe_M$Fat7$$\"#5F*$\"#NF*-%'COLOURG6&%$RGBG$F*F*F_[l $\"*++++\"!\")-F$6$7P7$$!3A+++]lfs**F3$\"35'e_YI[B0%F07$$!3m*****\\840 p)F3$\"3KM\"f-))o=O%F07$$!3@+++?S&RYv!4XF07$$!3W+++?M5J]F3 $\"3aN1B1S!\\q%F07$$!3!)******>!G&pDF3$\"3!GS')\\&=+i[F07$$!3;++++?KwB FW$\"33#z'HK6\"))*\\F07$$\"3t******zs$Q^#F3$\"35MCcREl=^F07$$\"3W++++8 2C^F3$\"3$e3@+j*zH_F07$$\"3K+++]o;BuF3$\"3%\\h54Wo*>`F07$$\"3********* QS6+\"F0$\"3@@lm$p;YT&F07$$\"3#*******\\o-h7F0$\"3Jo@GC6n.bF07$$\"3(** *****4cZ6:F0$\"3-Oqt\"ejZe&F07$$\"3++++yq!*QX(3YKF0$\"3!)Gp.iOgggF07$ $\"3$******\\PJK]$F0$\"3)3sp#\\=3AhF07$$\"3*******zwp$RPF0$\"3#\\\"RKj $4q<'F07$$\"3))*****\\#p2%*RF0$\"3Y&)e>XJuMiF07$$\"3%******z2Y'eUF0$\" 3uLm@+Q<$H'F07$$\"3y*****>Ia*)[%F0$\"3Nr'Hcu^GM'F07$$\"3E+++&\\$pPZF0$ \"3cKK[.$[`R'F07$$\"3e******>am%*\\F0$\"3_B[0%e+%[kF07$$\"3k*****\\Jig C&F0$\"3)Q+=*QB@*\\'F07$$\"3++++QxjY\"=3xsF07$Fgz$\"3\")*Rb.zCmJ(F0-F\\[l6&F^[lF`[ lF_[lF_[l-F$6%7$7$$!\"#F*F`jl7$FgzFgz-F\\[l6&F^[l$\")!\\DP\"Fb[lFejl$ \")viobFb[l-%*LINESTYLEG6#\"\"#-%&TITLEG6$%@Plot~a~function~and~its~in verseG-%%FONTG6%%*HELVETICAG%(DEFAULTG\"#9-%+AXESLABELSG6%%!GFj[m-Fb[m 6#Fe[m-%(SCALINGG6#%,CONSTRAINEDG-%%VIEWG6$;F`jlFgzFd\\m" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curv e 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG,&*$),&F'\"\"\" \"\"%!\"\"\"\"#F,F,F,F.1F-F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)% \"fG%$~-1G\"\"\"%%(~x)GF(,&\"\"%F(*$,&%\"xGF(F(F(#F(\"\"#F(1!\"\"F." } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Problem 24, p. 150." }{TEXT 266 0 "" }{TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 657 "restart:\nf:=x->(1-x^3)^(1/ 3):\ng:=x->(1-x^3)^(1/3):\nxleft:=-3:\nxright:=3:\nytop:=3:\nybot:=-3: \n#p1:=plot(f(x),x=xleft..xright,y=ybot..ytop,color=blue):\n#p2:=plot( g(x),x=xleft..xright,y=ybot..ytop,color=blue):\np1:=plot([x,f(x),x=xle ft..xright],y=ybot..ytop,color=blue):\np2:=plot([f(x),x,x=xleft..xrigh t],y=ybot..ytop,color=blue):\np3:=plot([[xleft,xleft],[xright,xright]] ,linestyle=2,color=navy):\nplotfcns:=plots[display](\n [p1, p2,p3],\n scaling=constrained,\n labels=[``,``] ,\n titlefont=[HELVETICA,DEFAULT,14],\n tit le=`Plot a function and its inverse`):\nplotfcns;\n'f(x)'=f(x);\n'f^(` -1`)'*`( x)`=g(x);\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7M7$$!\"$\"\"!$\"3Bic(=(*)eOI!#<7$$!3!***** *\\2<#pGF-$\"3X\"*>_L\"\\\"4HF-7$$!3!)*****4bBav#F-$\"3mcr=,ek)z#F-7$$ !32+++K3XFEF-$\"3c:v*>Uu[n#F-7$$!3))*****z#)H')\\#F-$\"3K?OpU(>4b#F-7$ $!3!******f3@/P#F-$\"32F-*y.>$GCF-7$$!39+++r^b^AF-$\"3M_49/gZ:BF-7$$!3 \"******4Sw%G@F-$\"3yD'eI&pk*>#F-7$$!3(******4;)=,?F-$\"337!4'GB=\"3#F -7$$!3-+++O\"3V(=F-$\"3K**z$p&yvk>F-7$$!3#******\\V'zViUC\"F-$\" 3$\\pl_h\\.V\"F-7$$!3++++hkaI6F-$\"3G+lBg/=Z8F-7$$!3s******\\XF`**!#=$ \"3QU@#RU%)pD\"F-7$$!3u*******>#z2))Ffp$\"37;ylc%e&*=\"F-7$$!3=+++5RKv uFfp$\"3N8m_$=!RB6F-7$$!3]*******pjeH'Ffp$\"3k&HBmW*3x5F-7$$!3h******4 *3=+&Ffp$\"3x)3wDt$3S5F-7$$!3!)******RFcpPFfp$\"3!*e=6N]a<5F-7$$!3'*** ****>J%Q[#Ffp$\"3M4w@K@305F-7$$!34+++g6:.8Ffp$\"3g#R@#Grt+5F-7$$!35+++ +!Q:'H!#?$\"3+h#e'3+++5F-7$$\"3++++!RIKH\"Ffp$\"3)f&fPu_y#***Ffp7$$\"3 /+++5:xWCFfp$\"3EtytpN0^**Ffp7$$\"3-+++![n%)o$Ffp$\"3XHu#f$>&)H)*Ffp7$ $\"37++++rKt\\Ffp$\"3_PUIq1!>d*Ffp7$$\"3u******z:JIiFfp$\"3$))e!RL?V= \"*Ffp7$$\"3%********o3lW(Ffp$\"3Q6wg[CQt$)Ffp7$$\"3V+++b%)p@\")Ffp$\" 3%fW@$[:HVxFfp7$$\"3!)******>#))oz)Ffp$\"3]'[G^tgX$oFfp7$$\"3>+++SAB+ \"*Ffp$\"3+\"4L*Qu(*oiFfp7$$\"3Y******fid.%*Ffp$\"3&o=;:VjH_&Ffp7$$\"3 m******p#[_b*Ffp$\"3>n5T9x:M]Ffp7$$\"3&)******z-#pq*Ffp$\"3rMFfp7$$\"3;+++!H5l*)*Ffp$\"3sK1I)QA@8$Ffp7$$\"3e*****\\HGW$**Ffp$\" 3q4;^$HuNp#Ffp7$$\"35++++jMs**Ffp$\"3z8@eW9^A?Ffp7$%*undefinedGFhx-%'C OLOURG6&%$RGBG$F*F*F]y$\"*++++\"!\")-F$6$7M7$F+F(7$F1F/7$F6F47$F;F97$F @F>7$FEFC7$FJFH7$FOFM7$FTFR7$FYFW7$FhnFfn7$F]oF[o7$FboF`o7$FgoFeo7$F\\ pFjo7$FapF_p7$FgpFdp7$F\\qFjp7$FaqF_q7$FfqFdq7$F[rFiq7$F`rF^r7$FerFcr7 $FjrFhr7$F`sF]s7$FesFcs7$FjsFhs7$F_tF]t7$FdtFbt7$FitFgt7$F^uF\\u7$FcuF au7$FhuFfu7$F]vF[v7$FbvF`v7$FgvFev7$F\\wFjv7$FawF_w7$FfwFdw7$F[xFiw7$F `xF^x7$FexFcxFgxFix-F$6%7$7$F(F(7$$\"\"$F*Fc\\l-Fjx6&F\\y$\")!\\DP\"F` yFg\\l$\")viobF`y-%*LINESTYLEG6#\"\"#-%(SCALINGG6#%,CONSTRAINEDG-%&TIT LEG6$%@Plot~a~function~and~its~inverseG-%%FONTG6%%*HELVETICAG%(DEFAULT G\"#9-%+AXESLABELSG6%%!GF`^l-Fh]l6#F[^l-%%VIEWG6$;F(Fc\\lF[^l" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"fG6#%\"xG*$),&\"\"\" F+*$)F'\"\"$F+!\"\"#F+F.F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*&)%\"f G%$~-1G\"\"\"%%(~x)GF(*$),&F(F(*$)%\"xG\"\"$F(!\"\"#F(F0F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Problem 25, p. 150." }{TEXT 267 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 532 "restart:\nf:=x->x/(x-1):\ng:=x->x/(x-1):\nxleft:=-2: \nxright:=4:\nytop:=4:\nybot:=-2:\np1:=plot(f(x),x=xleft..xright,y=ybo t..ytop,color=blue):\np2:=plot(g(x),x=xleft..xright,y=ybot..ytop,color =red):\np3:=plot([[xleft,xleft],[xright,xright]],linestyle=2,color=nav y):\nplotfcns:=plots[display](\n [p1,p2,p3],\n \+ scaling=constrained,\n labels=[``,``],\n titlefo nt=[HELVETICA,DEFAULT,14],\n title=`Plot a function an d its inverse`):\nplotfcns;\n'f(x)'=f(x),x<>1;\n'f^(` -1`)'*`( x)`=g(x ),x<>1;\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%' CURVESG6$7ao7$$!\"#\"\"!$\"3Immmmmmmm!#=7$$!3!******\\2<#p=!#<$\"3Z>\" \\QnGZ^'F-7$$!31++D^NUb'F-7$$!3%)****\\F)H')\\\"F1$\"3U3E#=_1y*fF-7$$!3#****\\i3@/P\"F1$\"3' *Q&Q9ES8y&F-7$$!3;++Dr^b^7F1$\"339T%pPD'ebF-7$$!3$****\\7Sw%G6F1$\"3-5 Q\"zn.=I&F-7$$!3*****\\7;)=,5F1$\"3z\"y8&R'oH+&F-7$$!3M++]i83V()F-$\"3 uJ-BszpkYF-7$$!3B******\\V'zV(F-$\"3k9a>%o&QlUF-7$$!3%)*****\\d;%)G'F- $\"3o/XYAymgQF-7$$!3#*)*****\\!)H%*\\F-$\"3&*e:kp\")zILF-7$$!3Q+++]d'[ p$F-$\"31xEw1M*zp#F-7$$!3/******\\>iUCF-$\"3%y4ozq3J'>F-7$$!3B++]7YY08 F-$\"3'R2YC+?Z:\"F-7$$\"3%z-+++XDn%!#?$!3qP_%)p,[%p%Fgp7$$\"3C++++y?#> \"F-$!3AuY!R-$e`8F-7$$\"3h****\\(3wY_#F-$!37Ie$QuYtP$F-7$$\"3F)******H OTq$F-$!3AY2dOUW$)eF-7$$\"3I,+](3\">)*\\F-$!3+W[ympw#***F-7$$\"3_,+]is VIiF-$!3+axV\"eFGl\"F17$$\"3&=++](o:;vF-$!3\\\"*eHb\">g-$F17$$\"3*=+]i &G]1\")F-$!3-+Ft5KB\"G%F17$$\"3#>++v$)[op)F-$!3ERWE[oqtmF17$$\"3J,]P%y K_,*F-$!3i_r\\8Toa\"*F17$$\"3p++DJnhL$*F-$!3Q2))[;zj+9!#;7$$\"3#4](o/( 3G\\*F-$!3oS)41nU;(=F\\t7$$\"31+]7y1+_'*F-$!3)QuFz\")oNx#F\\t7$$\"33\\ P%[m'fJ(*F-$!3o2A1=htDOF\\t7$$\"3?*\\i:l#>6)*F-$!35*zmQ-/k>&F\\t7$$\"3 Eu=#\\k!*4&)*F-$!3\"\\w$\\T!))4h'F\\t7$$\"3K\\7GQ')y!*)*F-$!3?%f$>jkbc !*F\\t7$$\"3RC1kJmeI**F-$!3(yW#>#oW1V\"!#:7$$\"3W*****\\i%Qq**F-$!3Mg* HHZCmO$F`v7$$\"3Z7y]bB<,5F1$\"3%4)4K;e$)R&)F`v7$$\"3+Dc^[iI05F1$\"3'eO T'41d%*=F`v7$$\"3`PM_T,W45F1$\"3STu*G:1$p5F`v7$$\"31]7`MSd85F1$\"3#Rq2 TX1qY(F\\t7$$\"36voa?=%=-\"F1$\"3i]S.LHPyYF\\t7$$\"3&**\\ilg4,.\"F1$\" 3B%)fAf\"*>@MF\\t7$$\"3%)\\Pfy^kY5F1$\"3.Tbi%HWQC#F\\t7$$\"3%***\\i]2= j5F1$\"3EFV>c0w#o\"F\\t7$$\"3%**\\(o%*=D'4\"F1$\"3\"Q6[teS*Q6F\\t7$$\" 3&****\\(QIKH6F1$\"3S3:([DuDt)F17$$\"3#******\\4+p=\"F1$\"3[2'e!p?X]jF 17$$\"3#****\\7:xWC\"F1$\"3'oUw\")zh.4&F17$$\"37++]Zn%)o8F1$\"3z%y6@4` 6r$F17$$\"3y******4FL(\\\"F1$\"3S[ht!QE2,$F17$$\"3#)****\\d6.B;F1$\"36 #QmW;c]g#F17$$\"3(****\\(o3lWF17$$\"36+++D-eI@F1 $\"3)3GJTe,X)=F17$$\"3u***\\(=_(zC#F1$\"3`h?ZizH,=F17$$\"3M+++b*=jP#F1 $\"3&\\CMnwvls\"F17$$\"3g***\\(3/3(\\#F1$\"3eWnL$zmzm\"F17$$\"33++vB4J BEF1$\"3#p]E6$\\-;;F17$$\"3u*****\\KCnu#F1$\"3%)yUX&=+Dd\"F17$$\"3s*** \\(=n#f(GF1$\"3CsKbj)pI`\"F17$$\"3P+++!)RO+IF1$\"3mmrb@!4**\\\"F17$$\" 30++]_!>w7$F1$\"3uLKZ^*3+Z\"F17$$\"3O++v)Q?QD$F1$\"3Kz/$*y5pV9F17$$\"3 G+++5jypLF1$\"3#RWU\"F17$$\"3<++]Ujp-NF1$\"3)[_&**\\!p&*R\"F17$$ \"3++++gEd@OF1$\"3IJ'oHU]9Q\"F17$$\"39++v3'>$[PF1$\"3;k6***peQO\"F17$$ \"37++D6EjpQF1$\"3%3*HDkmZ[8F17$$\"\"%F*$\"3ELLLLLLL8F1-%'COLOURG6&%$R GBG$F*F*Fdal$\"*++++\"!\")-F$6$F&-Faal6&FcalFealFdalFdal-F$6%7$7$F(F(7 $F\\alF\\al-Faal6&Fcal$\")!\\DP\"FgalFcbl$\")viobFgal-%*LINESTYLEG6#\" \"#-%&TITLEG6$%@Plot~a~function~and~its~inverseG-%%FONTG6%%*HELVETICAG %(DEFAULTG\"#9-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLABELSG6%%!GF\\dl-F`cl 6#Fccl-%%VIEWG6$;F(F\\alFbdl" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG*&F'\"\"\",&F'F)F)!\"\"F+0F'F)" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~-1G\"\"\"%%(~x)GF(*&%\"xGF (,&F+F(F(!\"\"F-0F+F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 19 "Problem 26, p. 150." }{TEXT 268 0 "" }{TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 569 "r estart:\nf:=x->sqrt(1-x^2):\ng:=x->sqrt(1-x^2):\nxleft:=-2:\nxright:=4 :\nytop:=4:\nybot:=-2:\np1:=plot(f(x),x=0..xright,y=ybot..ytop,color=b lue):\np2:=plot(g(x),x=0..xright,y=ybot..ytop,color=red):\np3:=plot([[ xleft,xleft],[xright,xright]],linestyle=2,color=navy):\nplotfcns:=plot s[display](\n [p1,p2,p3],\n scaling=constrained ,\n labels=[``,``],\n titlefont=[HELVETICA,DEFAU LT,14],\n title=`Plot a function and its inverse`):\np lotfcns;\nwith(Logic):\n'f(x)'=f(x),(0<=x)&and(x<=1);\n'f^(` -1`)'*`( \+ x)`=g(x),(0<=x)&and(x<=1);\n" }}{PARA 13 "" 1 "" {GLPLOT2D 486 486 486 {PLOTDATA 2 "6)-%'CURVESG6$7G7$$\"\"!F)$\"\"\"F)7$$\"3d*****fmh)=( )!#>$\"3Ga_]9#=>'**!#=7$$\"3.+++e'40j\"F2$\"3Kr$zfZwh')*F27$$\"33+++)Q &3d?F2$\"3/!**38.Lhy*F27$$\"3/+++<6m$[#F2$\"37igg[Bm'o*F27$$\"3******* pYkI\"HF2$\"3A%>]Z*yHm&*F27$$\"3&******p\"yYULF2$\"3(GS0$3f&[U*F27$$\" 33+++)GI)pPF2$\"3w!3&\\g;?i#*F27$$\"37+++eF>(>%F2$\"3+.2Y,(Rl2*F27$$\" 3%)*****RZ7Mf%F2$\"3!=7DE#))f#)))F27$$\"3A+++\">K'*)\\F2$\"3O(>whiJim) F27$$\"3A+++gZ*)*R&F2$\"3_i2_%o8AxF2$\"3sTrUe]j`jF27$$\"3%)******H9lRzF2$\"3?d3S:GjzgF27$$\" 3[******H4sU$f^F27$$\"3K+++DI(yv)F2$\"3RX!**Q9sp#[F27 $$\"39+++?VY\\*)F2$\"3!=Rn\"GgthWF27$$\"30+++;c0T\"*F2$\"3!4$H;1HwaSF2 7$$\"3o******H))*)[#*F2$\"3)3QVck]B!QF27$$\"35+++S?uc$*F2$\"3e35Ft5lGN F27$$\"3]+++]_ek%*F2$\"3Z,j2MVDGKF27$$\"3!)******f%GCd*F2$\"3OZX1vb&G* GF27$$\"3A+++q;F!o*F2$\"3*ya+dy`%3DF27$$\"3_******z[6)y*F2$\"3[i.H7XjZ ?F27$$\"3t*****\\[O?%)*F2$\"3oB)f5Z+/x\"F27$$\"3#********3ef*)*F2$\"3* 4)[%>9a(Q9F27$$\"3$)*******))=H#**F2$\"39\"R_![eAR7F27$$\"39+++&pz)\\* *F2$\"35oB5h-Z****F/7$$\"3W++++0%o(**F2$\"3_8,QEZ'=!oF/7$%*undefinedGF hv-%'COLOURG6&%$RGBGF(F($\"*++++\"!\")-F$6$F&-Fjv6&F\\wF]wF(F(-F$6%7$7 $$!\"#F)Fhw7$$\"\"%F)F[x-Fjv6&F\\w$\")!\\DP\"F_wF_x$\")viobF_w-%*LINES TYLEG6#\"\"#-%&TITLEG6$%@Plot~a~function~and~its~inverseG-%%FONTG6%%*H ELVETICAG%(DEFAULTG\"#9-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLABELSG6%%!GF hy-F\\y6#F_y-%%VIEWG6$;F(F[x;FhwF[x" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%\"fG6#%\"xG*$,&\"\"\"F**$)F'\"\"#F*!\"\"#F*F--% %&andG6$1\"\"!F'1F'F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/*&)%\"fG%$~- 1G\"\"\"%%(~x)GF(*$,&F(F(*$)%\"xG\"\"#F(!\"\"#F(F/-%%&andG6$1\"\"!F.1F .F(" }}}{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 30 "Filename: ExplorePrecalc03.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 for " }}{PARA 0 "" 0 " " {TEXT -1 37 "academic and non-commercial purposes." }}{PARA 0 "" 0 " " {TEXT -1 13 "Dr. John Pais" }}{PARA 0 "" 0 "" {TEXT -1 28 "Mathemati cs 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 "______________ _______________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK "88 \+ 0 1" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }