{VERSION 4 0 "IBM INTEL NT" "4.0" } {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 "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 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 "Times" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 260 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 261 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 262 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "Times" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 269 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 270 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 271 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 272 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 273 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 274 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 275 "fix ed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 276 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 277 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 278 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 279 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 280 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 281 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 282 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 283 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 284 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 285 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 286 "fixed" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 287 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 288 "" 1 8 0 0 0 0 0 0 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 " Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 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 Output" -1 12 1 {CSTYLE "" -1 -1 "Ti mes" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 } {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 "Heading 2" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }3 1 0 0 4 4 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 3" -1 257 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 1 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 8 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {PARA 256 "" 0 "" {TEXT 287 28 "More on Basic Maple Commands" }}{PARA 257 "" 0 "" {TEXT -1 10 "A. J. Meir" }}{PARA 258 "" 0 "" {TEXT -1 0 "" }}{PARA 258 "" 0 "" {TEXT -1 46 "Copyright (C) A. J. Mei r. All rights reserved." }}{PARA 258 "" 0 "" {TEXT -1 492 "This worksh eet is for educational use only. No part of this publication may be re produced or transmitted for profit in any form or by any means, electr onic or mechanical, including photocopy, recording, or any information storage and retrieval system without prior written permission from th e author. Not for profit distribution of the software is allowed witho ut prior written permission, providing that the worksheet is not modif ied in any way and full credit to the author is acknowledged." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 288 91 "(This do cument is largely based on a similar document originally written by P. G. Schmidt.)" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 406 "To familiarize yourself with the basics of Map le's syntax, carefully type and execute each of the following commands (one at a time, and in the given order). Most are self-explanatory. I n each case, try to guess what the command will cause Maple to do, bef ore executing it to see what happens. If you can't figure out what a g iven command \"does\", consult the online help manual (see Item 5 on t he handout \"" }{HYPERLNK 17 "Introduction to Maple" 1 "intro.mws" "" }{TEXT -1 3 "\")." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 280 "(Note: You should enter this command whe never you open a new worksheet, so that Maple starts \"with a clean sl ate\". From time to time, you may want to re-execute the command, in o rder to clear Maple's computing engine; this will have no effect on th e appearance of your worksheet.)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "2+3; 2-3; 2*3; 2/3; 2^3;" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\"#\"\"$" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\")" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "1/3; evalf(1/3); 1.0/ 3.0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\"\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+LLLLL!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+ LLLLL!#5" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "Pi; evalf(Pi); evalf(Pi,20); sqrt(2); evalf(sqrt( 2)); evalf(sqrt(2),30);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%#PiG" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+aEfTJ!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"5&QKz*e`EfTJ!#>" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#* $-%%sqrtG6#\"\"#\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+iN@99!\" *" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"?@C()o,)[]4tBc8UT\"!#H" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 8 "(Note: " }{TEXT 286 5 "evalf" }{TEXT -1 2 " " }{TEXT 256 50 "stands for \"eval uate as a floating-point number\".)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "factor(x^2-1); expand((x-1 )*(x+1)); simplify((x^2-1)/(x-1));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #*&,&%\"xG\"\"\"F&!\"\"F&,&F%F&F&F&F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*$)%\"xG\"\"#\"\"\"F(F(!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#, &%\"xG\"\"\"F%F%" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "solve(x^2-1=0,x); solve(a^2-b^2=1,a); solve (a^2-b^2=1,b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"!\"\"" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$*$-%%sqrtG6#,&\"\"\"F(*$)%\"bG\"\"#F(F (F(,$F#!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$-%%sqrtG6#,&*$)%\"aG \"\"#\"\"\"F,F,!\"\"F,,$F#F-" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "solve(\{a+b=1,a-b=2\},\{a,b \}); solve(\{a+b+c=0,a+2*b+3*c=1,a-b-c=2\},\{a,b,c\});" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#<$/%\"bG#!\"\"\"\"#/%\"aG#\"\"$F(" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#<%/%\"aG\"\"\"/%\"bG!\"$/%\"cG\"\"#" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "solv e(cos(x)=x,x); fsolve(cos(x)=x,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #-%'RootOfG6#,&%#_ZG\"\"\"-%$cosG6#F'!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+K8&3R(!#5" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 21 "(Note: The equation " }{XPPEDIT 18 0 "co s(x)=x" "6#/-%$cosG6#%\"xGF'" }{TEXT -1 19 " cannot be solved " } {TEXT 257 12 "symbolically" }{TEXT -1 21 "; this explains why " } {TEXT 258 5 "solve" }{TEXT -1 106 " fails to produce a useful answer. However, the equation does have a unique solution, which can be found " }{TEXT 259 11 "numerically" }{TEXT -1 9 ", using " }{TEXT 260 6 "f solve" }{TEXT -1 2 ".)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "y:=c*exp(x); y;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"yG*&%\"cG\"\"\"-%$expG6#%\"xGF'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&%\"cG\"\"\"-%$expG6#%\"xGF%" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "c:=1; y; c :=2; y; c:=Pi; y; c:=a; y; c:='c'; y; y:='y'; y;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #-%$expG6#%\"xG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG\"\"#" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,$-%$expG6#%\"xG\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG%#PiG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&% #PiG\"\"\"-%$expG6#%\"xGF%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG% \"aG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&%\"aG\"\"\"-%$expG6#%\"xGF% " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&%\"cG\"\"\"-%$expG6#%\"xGF%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%\"yG" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 21 "(Note: Th e commands " }{TEXT 261 6 "c:='c'" }{TEXT 263 3 " a" }{TEXT -1 4 "nd " }{TEXT 262 6 "y:='y'" }{TEXT -1 39 " \"undefine\" the respective \+ variables.)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 55 "y:=x^2-1; plot(y,x=-3..3); subs(x=0,y); subs(x=3 ,y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG,&*$)%\"xG\"\"#\"\"\"F*F *!\"\"" }}{PARA 13 "" 1 "" {GLPLOT2D 295 295 295 {PLOTDATA 2 "6%-%'CUR VESG6$7S7$$!\"$\"\"!$\"\")F*7$$!3!******\\2<#pG!#<$\"3]a:ZBmSKsF07$$!3 #)***\\7bBav#F0$\"3CgJyY*eBf'F07$$!36++]K3XFEF0$\"3,W\\?xy\\.fF07$$!3% )****\\F)H')\\#F0$\"3@zE([,^JC&F07$$!3#****\\i3@/P#F0$\"3mH'Qh7'*)=YF0 7$$!3;++Dr^b^AF0$\"3KiUC\"F0$\"3ax@1*4%)=[&Fio7$$!3-++DhkaI6F0$\"3)p (*[/,`8y#Fio7$$!3s******\\XF`**Fio$!39LIABtDB$*!#?7$$!3u*******>#z2))F io$!3F;>;c'zAC#Fio7$$!3S++]7RKvuFio$!3do0KSK&>T%Fio7$$!3s,+++P'eH'Fio$ !3)*GA5F+@OgFio7$$!3q)***\\7*3=+&Fio$!3YeNGg2>)\\(Fio7$$!3[)***\\PFcpP Fio$!3M^^!onR!z&)Fio7$$!3;)****\\7VQ[#Fio$!3uC!RIL_IQ*Fio7$$!32)***\\i 6:.8Fio$!3#**[nZqz,$)*Fio7$$!3Wb+++v`hHFip$!33hj&HH7*****Fio7$$\"3]*** *\\(QIKH\"Fio$!3HgY[;bvK)*Fio7$$\"38****\\7:xWCFio$!3?Zo;D#4BS*Fio7$$ \"3E,++vuY)o$Fio$!3[6neo2_R')Fio7$$\"3!z******4FL(\\Fio$!3ng0kbDF07$$ \"3P+++!)RO+?F0$\"3aT9[_gX,IF07$$\"30++]_!>w7#F0$\"3l(*4cKGwENF07$$\"3 O++v)Q?QD#F0$\"3)G?XZM1(zSF07$$\"3G+++5jypBF0$\"32$[FF0$\"3[`(R=ngKb'F07$$\"37++D6EjpGF0$\"3G%\\\\NK\"zMsF07$$\"\"$F*F +-%'COLOURG6&%$RGBG$\"#5!\"\"$F*F*F_[l-%+AXESLABELSG6$Q\"x6\"Q!6\"-%%V IEWG6$;F(Ffz%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}{PARA 11 "" 1 "" {XPPMATH 20 "6#!\"\"" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#\"\")" }}}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 8 "(Note: " }{TEXT 284 4 "subs" }{TEXT -1 26 " stands for\"substitute\".)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "solve(y=0,x); limit(y,x=0) ; limit(y,x=infinity); diff(y,x); int(y,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#!\"\"" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#%)infinityG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$%\"xG\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*$)% \"xG\"\"$\"\"\"#F(F'F&!\"\"" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "limit(sin(x)/x,x=0); limit( sin(x)/x,x=infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "diff(exp(x)*sin(x),x); \+ int(exp(x)*sin(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&-%$expG6# %\"xG\"\"\"-%$sinGF'F)F)*&F%F)-%$cosGF'F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&-%$expG6#%\"xG\"\"\"-%$cosGF'F)#!\"\"\"\"#*(#F)F.F) F%F)-%$sinGF'F)F)" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 58 "int(exp(x)*sin(x),x=0..Pi); int(exp(-x^2),x =0..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&-%$expG6#%#PiG#\" \"\"\"\"#F(F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*$-%%sqrtG6#%#PiG\" \"\"#F)\"\"#" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 197 "The rest of this handout is concerned with graphing. Sev eral Maple routines related to graphing are not automatically availabl e when you start Maple; they must be loaded separately. To do so, ente r" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots);" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7U%(animateG%*animate3dG%-animatecurveG%-changecoordsG% ,complexplotG%.complexplot3dG%*conformalG%,contourplotG%.contourplot3d G%*coordplotG%,coordplot3dG%-cylinderplotG%,densityplotG%(displayG%*di splay3dG%*fieldplotG%,fieldplot3dG%)gradplotG%+gradplot3dG%-implicitpl otG%/implicitplot3dG%(inequalG%-listcontplotG%/listcontplot3dG%0listde nsityplotG%)listplotG%+listplot3dG%+loglogplotG%(logplotG%+matrixplotG %(odeplotG%'paretoG%*pointplotG%,pointplot3dG%*polarplotG%,polygonplot G%.polygonplot3dG%4polyhedra_supportedG%.polyhedraplotG%'replotG%*root locusG%,semilogplotG%+setoptionsG%-setoptions3dG%+spacecurveG%1sparsem atrixplotG%+sphereplotG%)surfdataG%)textplotG%+textplot3dG%)tubeplotG " }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 388 "upo n which Maple should print a list of commands -- the contents of the p ackage of routines that is being loaded. If you just want to load the \+ package, without having its contents displayed, end the command with a colon (:) instead of a semicolon (;). (Generally, using a colon inst ead of a semicolon at the end of a command prevents Maple's response f rom being displayed on the screen.)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT -1 119 "Now execute the following commands to l earn about some useful \"options\" that are available with the basic p lot command." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "y:=cos(x)/x; plot(y,x=-10..10);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*&-%$cosG6#%\"xG\"\"\"F)!\"\"" }}{PARA 13 "" 1 "" {GLPLOT2D 218 294 294 {PLOTDATA 2 "6%-%'CURVESG6$7ao7$$!#5\"\"!$ \"3%\\_k2H:2R)!#>7$$!3!pmmm\"p0k&*!#<$\"3T,#H$fjXN5!#=7$$!3uKL$3s%HaF1$!3.zX)Q\\5/@\"F47$$!3]******\\$*4)*\\F1$!3 '*)**o-UD*QcF-7$$!3o******\\_&\\c%F1$\"3qf4*yY)*z@$F-7$$!3%)******\\1a ZTF1$\"3Kvc+WZh!H\"F47$$!3Imm;/#)[oPF1$\"3YJ>r_=,\\@F47$$!3%HLLL=exJ$F 1$\"31e%HfHMu'HF47$$!3lKLLL2$f$HF1$\"30)H=\"p`HMLF47$$!3%)****\\PYx\" \\#F1$\"3#)>X;T')G&>$F47$$!3gLLLL7i)4#F1$\"3!z@:z-N**R#F47$$!3o)***\\P 'psm\"F1$\"3O'))zU\"QLxdF-7$$!3?****\\74_c7F1$!3A`-HGb=gCF47$$!3M:LL$3 x%z#)F4$!3A5Xk_EYp\")F47$$!3gAL$e9d;J'F4$!3)z;J*Qb7z7F17$$!3()HLL3s$QM %F4$!3-3(zI$RJ)3#F17$$!3akmT&QdDG$F4$!3!f$*R\"Qeu$)GF17$$!3>****\\ivF@ AF4$!3UmgU&y08R%F17$$!3_m;/^wj!p\"F4$!3xb1K#G(fIeF17$$!3'QL$eRx**f6F4$ !3[rIfu:xi&)F17$$!3?v;aQyxY*)F-$!3$y%RjH/D86!#;7$$!3%=,]7GyNH'F-$!31i? ccax&e\"F\\u7$$!3=!=/E]yp'\\F-$!3+iptLM\"3,#F\\u7$$!3][$eRsy.k$F-$!3!G A-1&p9XFF\\u7$$!3#o^7`%*yPJ#F-$!374ir3sx?VF\\u7$$!3]^omm;zr)*FI$!3w)\\ @L)z$H,\"!#:7$$\"3L'=3Fp^y!RFI$\"3'Htic?J*eDFfv7$$\"3UA$3_]\\(os85b2@F17$$\"3JtmmmJ+IiF4$\"3mMg\"*47e.8F17$$\"3-.++v$Q#\\ \")F4$\"3)pgK4tHqT)F47$$\"3%\\LL$e\"*[H7F1$\"3kS%[LaCCs#F47$$\"3=++++d xd;F1$!3jTH^r%Q,C&F-7$$\"3e+++D0xw?F1$!3z(*RG='=PL#F47$$\"35,+]i&p@[#F 1$!3k#*R6dF4%=$F47$$\"3++++vgHKHF1$!3N\\HDp\\(eL$F47$$\"3ElmmmZvOLF1$! 3X)z!p(*4.SHF47$$\"3%4+++v+'oPF1$!3K,p2oCx[@F47$$\"3UKL$eR<*fTF1$!3yB& [R+Y:E\"F47$$\"3K-++])Hxe%F1$!3)p*Q!e)p>5FF-7$$\"3!fmm\"H!o-*\\F1$\"3% *HB&*GH.(\\&F-7$$\"3X,+]7k.6aF1$\"3O#Q,ca\\')=\"F47$$\"3#emmmT9C#eF1$ \"3pvEM;CQQ:F47$$\"33****\\i!*3`iF1$\"31VC9w`[)f\"F47$$\"3;NLLL*zym'F1 $\"35D$pdi;,R\"F47$$\"3'eLL$3N1#4(F1$\"33a]exMcL(*F-7$$\"3,pm;HYt7vF1$ \"3+A!=TL-YX%F-7$$\"37-+++xG**yF1$!3r6q!QE+Nt&FI7$$\"3gpmmT6KU$)F1$!3g $3R/1cQi&F-7$$\"3qNLLLbdQ()F1$!3]Hn+6AO`))F-7$$\"3[++]i`1h\"*F1$!3wt'3 a4RQ0\"F47$$\"3A-+]P?Wl&*F1$!3r]\\G'R/^.\"F47$$\"#5F*$!3%\\_k2H:2R)F-- %'COLOURG6&%$RGBG$F^al!\"\"$F*F*Fgal-%+AXESLABELSG6$Q\"x6\"Q!6\"-%%VIE WG6$;F(F]al%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 64 "(This graph doesn't look \"right\"! Try to underst and why. 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0 " > " 0 "" {MPLTEXT 1 0 37 "c:=1; y; plot(y,x=-1..3,'y'=0..60);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$expG6#%\"xG" }}{PARA 13 "" 1 "" {GLPLOT2D 295 295 295 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$!\"\"\"\"!$\"3MBWr6WzyO!#=7$$!3PLL LLQ6G\"*F-$\"3(yh+SjTR,%F-7$$!3immmT.\\p$)F-$\"3NYT'zo'HIVF-7$$!3LLLL$ ))Qj^(F-$\"30y%4r)Q&fr%F-7$$!3ULLL$=Kvl'F-$\"3&o:SI8j)Q^F-7$$!3hnmmTs! 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You can then change " }{XPPEDIT 18 0 "c" "6#%\"cG" }{TEXT -1 168 "again and repeat the process. (By the way, you may type several commands on the same line and execute them simultaneously, wi th only one hit of the Return key. 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Here's a short cut:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "s:=seq(c*exp(x),c=1..3); plot(\{s\},x=-1..3,'y'=0..6 0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG6%-%$expG6#%\"xG,$F&\"\"# ,$F&\"\"$" }}{PARA 13 "" 1 "" {GLPLOT2D 295 295 295 {PLOTDATA 2 "6'-%' CURVESG6$7S7$$!\"\"\"\"!$\"3+FV^B$QO5\"!#<7$$!3PLLLLQ6G\"*!#=$\"3U&=+- \\#=/7F-7$$!3immmT.\\p$)F1$\"3'RC*Q1!*3*H\"F-7$$!3LLLL$))Qj^(F1$\"3OVG 8mhy99F-7$$!3ULLL$=Kvl'F1$\"30Z?\"*R*e;a\"F-7$$!3hnmmTs!G!eF1$\"3)4(z' [jB#z;F-7$$!3iLLL3yO5]F1$\"3OaWmQkq<=F-7$$!3i+++vE%)*=%F1$\"3a#RT!GO9t >F-7$$!3)RLL$3WDTLF1$\"3k[DV'*=*y9#F-7$$!3'4++]d(Q&\\#F1$\"3eH:%eC![PB F-7$$!3:mmmm&4`i\"F1$\"3mdP!4Lp*\\DF-7$$!3GKLLLQW*e)!#>$\"3U+wK(HtIv#F -7$$\"3HI#*******H,Q!#@$\"3$=pvngS6+$F-7$$\"3Q(*******\\*3q)F^o$\"3=f< ')H$>FF$F-7$$\"3!********p=\\q\"F1$\"3aK`(=.kwb$F-7$$\"3_mmm\"fBIY#F1$ \"36a$[q&*ey$QF-7$$\"3yKLLLO[kLF1$\"3+dxQL(**)*>%F-7$$\"3.KLLL&Q\"GTF1 $\"3=*HM3;\">LXF-7$$\"3+*****\\s]k,&F1$\"3?*4^mI2V&\\F-7$$\"3WJLLLvv-e F1$\"3=Xk89Iff`F-7$$\"3'3++]sgam'F1$\"35>.c4v\\UeF-7$$\"3G+++v\"ep[(F1 $\"3\"p\"3b&eAFM'F-7$$\"3#QLLLe/TM)F1$\"3k$RoW*pO5pF-7$$\"39LLLeDBJ\"* F1$\"3Q,LR8:GwuF-7$$\"3Immm;kD!)**F1$\"3vN^%>yg(Q\")F-7$$\"3Mmm;f`@'3 \"F-$\"37=\\)GO;\"*)))F-7$$\"3y****\\nZ)H;\"F-$\"31kV>EhS)f*F-7$$\"3Ym mmJy*eC\"F-$\"3*HG4JH;G/\"!#;7$$\"3')******R^bJ8F-$\"3&RjrTSyg8\"Fbt7$ $\"3f*****\\5a`T\"F-$\"3jz#exJ$QN7Fbt7$$\"3o****\\7RV'\\\"F-$\"30n!p8j ?(R8Fbt7$$\"3k*****\\@fke\"F-$\"3'3A!H`\\#fY\"Fbt7$$\"3/LLL`4Nn;F-$\"3 G%p!yrUV*e\"Fbt7$$\"3#*******\\,s`$=F-$\"39o!zS6zQ(=Fbt7$$\"3$*******pfa<>F-$\"3qJuPY?FT?Fbt7$$\"3#HLLe g`!)*>F-$\"3@=0@@kS7AFbt7$$\"3w****\\#G2A3#F-$\"3)eSBc'pk1CFbt7$$\"3;L LL$)G[k@F-$\"3`[?y%)*GIh#Fbt7$$\"3#)****\\7yh]AF-$\"3%ppnnyz![GFbt7$$ \"3xmmm')fdLBF-$\"3%p\"QlK$GW4$Fbt7$$\"3bmmm,FT=CF-$\"3sb3@#)oSoLFbt7$ $\"3FLL$e#pa-DF-$\"3=kKsC%oSm$Fbt7$$\"3!*******Rv&)zDF-$\"3ID+youdeRFb t7$$\"3ILLLGUYoEF-$\"3xwaE:HMDVFbt7$$\"3_mmm1^rZFF-$\"3k43D#Gz?o%Fbt7$ $\"34++]sI@KGF-$\"3IVzfl6!\\4&Fbt7$$\"34++]2%)38HF-$\"3s._EVQ2CbFbt7$$ \"\"$F*$\"3Q+j&p2hc-'Fbt-%'COLOURG6&%$RGBG$\"#5F)$F*F*Fb[l-F$6$7S7$F($ \"3MBWr6WzyOF17$F/$\"3(yh+SjTR,%F17$F5$\"3NYT'zo'HIVF17$F:$\"30y%4r)Q& fr%F17$F?$\"3&o:SI8j)Q^F17$FD$\"3)*plA;@T(f&F17$FI$\"3]Z[@i9-fgF17$FN$ \"3UTY!oUXrd'F17$FS$\"3uh^xa'R'frF17$FX$\"3il3g\"z(F17$Fgn$\"3=#>z' px*)*\\)F17$F\\o$\"39-?4\"*4\"p<*F17$Fbo$\"3%RceA?!Q+5F-7$Fho$\"31`sGV k!44\"F-7$F]p$\"3%36D1,))e=\"F-7$Fbp$\"37=h,>jGz7F-7$Fgp$\"3#*=fzxl'** R\"F-7$F\\q$\"3))*4y-sj5^\"F-7$Faq$\"3e*p$))odV^;F-7$Ffq$\"3a[@r/5`'y \"F-7$F[r$\"3iRM&)p\"*\\Z>F-7$F`r$\"3;s-&='3C9@F-7$Fer$\"3t(zA[mbMI#F- 7$Fjr$\"3GnxzPQ4#\\#F-7$F_s$\"3Vy$[1E?Hr#F-7$Fds$\"3?1$GwyQI'HF-7$Fis$ \"3#[XJ(3(o%*>$F-7$F^t$\"3[wUO5V0wMF-7$Fdt$\"3?Ya!R,Gpy$F-7$Fit$\"3[)f FDRWz6%F-7$F^u$\"3))*)o*yVNdY%F-7$Fcu$\"39.u'4^;k)[F-7$Fhu$\"3i!)*o#RU 6)H&F-7$F]v$\"3WfT.J00wdF-7$Fbv$\"3O%*of8PEYiF-7$Fgv$\"3FR9fa,C/oF-7$F \\w$\"3%zs,22)outF-7$Faw$\"3f>!y?bc@-)F-7$Ffw$\"3;h,%fh'45()F-7$F[x$\" 3WccA*G*f$\\*F-7$F`x$\"3l0Y)36w9.\"Fbt7$Fex$\"3O&GqSH-G7\"Fbt7$Fjx$\"3 X@WdThN@7Fbt7$F_y$\"3Avm#H#e_>8Fbt7$Fdy$\"3)*e^vr4yT9Fbt7$Fiy$\"3M.O3% 4$pg:Fbt7$F^z$\"3)ykK&)Q+$)p\"Fbt7$Fcz$\"3.o]vZzNT=Fbt7$Fhz$\"3zm(=Bp` &3?Fbt-F][l6&F_[lFb[lF`[lFb[l-F$6$7S7$F($\"3oY)GM#))edtF17$F/$\"3vN7+o K)y-)F17$F5$\"3q#HGfP$fg')F17$F:$\"35c*=Ux2>V*F17$F?$\"3PJ!3misx-\"F-7 $FD$\"3+9`CBC[>6F-7$FI$\"3]pHW#H/=@\"F-7$FN$\"3HG4O&3HaJ\"F-7$FS$\"3NK ]&4$z#>V\"F-7$FX$\"37`V*Q;?$e:F-7$Fgn$\"3UQe$Rbz**p\"F-7$F\\o$\"3V+%=# )>#QN=F-7$Fbo$\"3*y7c0WF@-$F-7$F aq$\"3<*Rnx`rGI$F-7$Ffq$\"33(HC%4?1tNF-7$F[r$\"3CzoqR$)*\\*QF-7$F`r$\" 3JW0qB<[GUF-7$Fer$\"3Z&fX'H8\"pg%F-7$Fjr$\"3cMbfvw=%)\\F-7$F_s$\"3(ov' H@0%eU&F-7$Fds$\"3Q7mDvv2EfF-7$Fis$\"3m4HYb]y))eB)F-7$F^u$\"3uzPzv3ZJ*)F-7$ Fcu$\"3I1[$>-LGx*F-7$Fhu$\"37'z`y%Gif5Fbt7$F]v$\"3!>$o?1,@b6Fbt7$Fbv$ \"3))y$>Fu_#\\7Fbt7$Fgv$\"3'yG=4.[3O\"Fbt7$F\\w$\"3gX.99w$\\Z\"Fbt7$Fa w$\"3#Rg:/JJWg\"Fbt7$Ffw$\"3BK!)=B$>?u\"Fbt7$F[x$\"3GJ^%y&)>()*=Fbt7$F `x$\"3I6#pc$)GFbt7$Fiy$\"3m1s;)='Q@JFbt7$F^z$\"3 y&Hlqx+mR$Fbt7$Fcz$\"31O,^&*er#o$Fbt7$Fhz$\"3fLvj%Q2r,%Fbt-F][l6&F_[lF `[lF`[lFb[l-%+AXESLABELSG6$Q\"x6\"Q\"yFg^m-%%VIEWG6$;F(Fhz;Fb[l$\"#gF* " 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "C urve 2" "Curve 3" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 8 "(Note: " }{TEXT 285 3 "seq" }{TEXT -1 58 ", which stands for \"sequence\", is a Maple command, while " }{XPPEDIT 18 0 "s" "6#% \"sG" }{TEXT -1 124 " is just a variable that we use as a name for the sequence of functions to be plotted; we could just as well have calle d it " }{XPPEDIT 18 0 "bunch_of_functions" "6#%3bunch_of_functionsG" } {TEXT -1 25 " or something like that.)" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 27 "What if you want to change " } {XPPEDIT 18 0 "c" "6#%\"cG" }{TEXT -1 4 " in " }{TEXT 266 11 "non-inte ger" }{TEXT -1 46 " increments? As an example, try the following:" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "s:=seq((c/5)*exp(x),c=-10..10); plot(\{s\},x=-1..3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"sG67,$-%$expG6#%\"xG!\"#,$F'#!\"*\"\"&,$F'# !\")F/,$F'#!\"(F/,$F'#!\"'F/,$F'!\"\",$F'#!\"%F/,$F'#!\"$F/,$F'#F+F/,$ F'#F:F/\"\"!,$F'#\"\"\"F/,$F'#\"\"#F/,$F'#\"\"$F/,$F'#\"\"%F/F',$F'#\" \"'F/,$F'#\"\"(F/,$F'#\"\")F/,$F'#\"\"*F/,$F'FK" }}{PARA 13 "" 1 "" {GLPLOT2D 295 295 295 {PLOTDATA 2 "69-%'CURVESG6$7S7$$!\"\"\"\"!$F*F*7 $$!3PLLLLQ6G\"*!#=F+7$$!3immmT.\\p$)F/F+7$$!3LLLL$))Qj^(F/F+7$$!3ULLL$ =Kvl'F/F+7$$!3hnmmTs!G!eF/F+7$$!3iLLL3yO5]F/F+7$$!3i+++vE%)*=%F/F+7$$! 3)RLL$3WDTLF/F+7$$!3'4++]d(Q&\\#F/F+7$$!3:mmmm&4`i\"F/F+7$$!3GKLLLQW*e )!#>F+7$$\"3HI#*******H,Q!#@F+7$$\"3Q(*******\\*3q)FNF+7$$\"3!******** p=\\q\"F/F+7$$\"3_mmm\"fBIY#F/F+7$$\"3yKLLLO[kLF/F+7$$\"3.KLLL&Q\"GTF/ F+7$$\"3+*****\\s]k,&F/F+7$$\"3WJLLLvv-eF/F+7$$\"3'3++]sgam'F/F+7$$\"3 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-%+AXESLABELSG6$Q\"x6\"Q!6\"-%%VIEWG6$;F(Fht%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve \+ 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve \+ 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20" "Curve 21" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 47 "So far, so good. But what if you need to plot " }{XPPEDIT 18 0 "c*exp(x)" "6#*&%\"cG\"\" \"-%$expG6#%\"xGF%" }{TEXT -1 13 " for, say, " }{XPPEDIT 18 0 "c=-1 " "6#/%\"cG,$\"\"\"!\"\"" }{TEXT -1 3 ", " }{XPPEDIT 18 0 "c=sqrt(2) " "6#/%\"cG-%%sqrtG6#\"\"#" }{TEXT -1 7 ", and " }{XPPEDIT 18 0 "c=Pi /2" "6#/%\"cG*&%#PiG\"\"\"\"\"#!\"\"" }{TEXT -1 65 " ? 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Now re-execute the last two commands, changing " }{XPPEDIT 18 0 "c" "6#%\"cG" }{TEXT -1 4 " to " }{XPPEDIT 18 0 "sqrt(2)" "6#-%%s qrtG6#\"\"#" }{TEXT -1 2 " " }{TEXT 269 11 "(c:=sqrt(2)" }{TEXT -1 7 ") and " }{XPPEDIT 18 0 "p1" "6#%#p1G" }{TEXT -1 4 " to " }{XPPEDIT 18 0 "p2" "6#%#p2G" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "c:=sqrt(2): p2:=plot(c*exp( x),x=-1..3):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 34 "Then repeat the process, changing " }{XPPEDIT 18 0 "c" "6 #%\"cG" }{TEXT -1 4 " to " }{XPPEDIT 18 0 "Pi/2" "6#*&%#PiG\"\"\"\"\"# !\"\"" }{TEXT -1 3 " (" }{TEXT 270 7 "c:=Pi/2" }{TEXT -1 7 ") and " }{XPPEDIT 18 0 "p2" "6#%#p2G" }{TEXT -1 4 " to " }{XPPEDIT 18 0 "p3" " 6#%#p3G" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "c:=Pi/2: p3:=plot(c*exp(x),x=-1..3 ):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 77 "Yo u can now look at the three plots, one at a time, or display them toge ther:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "p1; p2; p3; display(\{p1,p2,p3\});" }}{PARA 13 "" 1 "" {GLPLOT2D 295 295 295 {PLOTDATA 2 "6%-%'CURVESG6$7S7$$!\"\"\"\"!$ !3MBWr6WzyO!#=7$$!3PLLLLQ6G\"*F-$!3(yh+SjTR,%F-7$$!3immmT.\\p$)F-$!3NY T'zo'HIVF-7$$!3LLLL$))Qj^(F-$!30y%4r)Q&fr%F-7$$!3ULLL$=Kvl'F-$!3&o:SI8 j)Q^F-7$$!3hnmmTs!G!eF-$!3)*plA;@T(f&F-7$$!3iLLL3yO5]F-$!3]Z[@i9-fgF-7 $$!3i+++vE%)*=%F-$!3UTY!oUXrd'F-7$$!3)RLL$3WDTLF-$!3uh^xa'R'frF-7$$!3' 4++]d(Q&\\#F-$!3il3g\"z(F-7$$!3:mmmm&4`i\"F-$!3=#>z'px*)*\\)F-7$$!3 GKLLLQW*e)!#>$!39-?4\"*4\"p<*F-7$$\"3HI#*******H,Q!#@$!3%RceA?!Q+5!#<7 $$\"3Q(*******\\*3q)F]o$!31`sGVk!44\"Ffo7$$\"3!********p=\\q\"F-$!3%36 D1,))e=\"Ffo7$$\"3_mmm\"fBIY#F-$!37=h,>jGz7Ffo7$$\"3yKLLLO[kLF-$!3#*=f zxl'**R\"Ffo7$$\"3.KLLL&Q\"GTF-$!3))*4y-sj5^\"Ffo7$$\"3+*****\\s]k,&F- $!3e*p$))odV^;Ffo7$$\"3WJLLLvv-eF-$!3a[@r/5`'y\"Ffo7$$\"3'3++]sgam'F-$ !3iRM&)p\"*\\Z>Ffo7$$\"3G+++v\"ep[(F-$!3;s-&='3C9@Ffo7$$\"3#QLLLe/TM)F -$!3t(zA[mbMI#Ffo7$$\"39LLLeDBJ\"*F-$!3GnxzPQ4#\\#Ffo7$$\"3Immm;kD!)** F-$!3Vy$[1E?Hr#Ffo7$$\"3Mmm;f`@'3\"Ffo$!3?1$GwyQI'HFfo7$$\"3y****\\nZ) H;\"Ffo$!3#[XJ(3(o%*>$Ffo7$$\"3YmmmJy*eC\"Ffo$!3[wUO5V0wMFfo7$$\"3')** ****R^bJ8Ffo$!3?Ya!R,Gpy$Ffo7$$\"3f*****\\5a`T\"Ffo$!3[)fFDRWz6%Ffo7$$ \"3o****\\7RV'\\\"Ffo$!3))*)o*yVNdY%Ffo7$$\"3k*****\\@fke\"Ffo$!39.u'4 ^;k)[Ffo7$$\"3/LLL`4Nn;Ffo$!3i!)*o#RU6)H&Ffo7$$\"3#*******\\,s`$=Ffo$!3O%*of8PEYiFfo7$$\"3$*******pfa<>Ffo$ !3FR9fa,C/oFfo7$$\"3#HLLeg`!)*>Ffo$!3%zs,22)outFfo7$$\"3w****\\#G2A3#F fo$!3f>!y?bc@-)Ffo7$$\"3;LLL$)G[k@Ffo$!3;h,%fh'45()Ffo7$$\"3#)****\\7y h]AFfo$!3WccA*G*f$\\*Ffo7$$\"3xmmm')fdLBFfo$!3l0Y)36w9.\"!#;7$$\"3bmmm ,FT=CFfo$!3O&GqSH-G7\"Fcx7$$\"3FLL$e#pa-DFfo$!3X@WdThN@7Fcx7$$\"3!**** ***Rv&)zDFfo$!3Avm#H#e_>8Fcx7$$\"3ILLLGUYoEFfo$!3)*e^vr4yT9Fcx7$$\"3_m mm1^rZFFfo$!3M.O3%4$pg:Fcx7$$\"34++]sI@KGFfo$!3)ykK&)Q+$)p\"Fcx7$$\"34 ++]2%)38HFfo$!3.o]vZzNT=Fcx7$$\"\"$F*$!3zm(=Bp`&3?Fcx-%'COLOURG6&%$RGB G$\"#5F)$F*F*Fb[l-%+AXESLABELSG6$Q\"x6\"Q!6\"-%%VIEWG6$;F(Fhz%(DEFAULT G" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" } }}{PARA 13 "" 1 "" {GLPLOT2D 295 295 295 {PLOTDATA 2 "6%-%'CURVESG6$7S 7$$!\"\"\"\"!$\"3Y*))G-&4g-_!#=7$$!3PLLLLQ6G\"*F-$\"3O'pxtpqln&F-7$$!3 immmT.\\p$)F-$\"3C!>=_IkR7'F-7$$!3LLLL$))Qj^(F-$\"3)*RjnYfOpmF-7$$!3UL LL$=Kvl'F-$\"3-&[Cz$*\\uE(F-7$$!3hnmmTs!G!eF-$\"3P-\"f*Gh$f\"zF-7$$!3i LLL3yO5]F-$\"3c**QdE.vo&)F-7$$!3i+++vE%)*=%F-$\"38.tGk#)[,$*F-7$$!3)RL L$3WDTLF-$\"3#es[,&f_75!#<7$$!3'4++]d(Q&\\#F-$\"3DH%\\^v)*=5\"FV7$$!3: mmmm&4`i\"F-$\"3t8lYqq1-7FV7$$!3GKLLLQW*e)!#>$\"3E.$H%)>6yH\"FV7$$\"3H I#*******H,Q!#@$\"3@,Oc\\7v99FV7$$\"3Q(*******\\*3q)F^o$\"3%*GqP(ouFa \"FV7$$\"3!********p=\\q\"F-$\"3%4o\"33*)4x;FV7$$\"3_mmm\"fBIY#F-$\"3K [4^iS=4=FV7$$\"3yKLLLO[kLF-$\"3KP!)=@<&)z>FV7$$\"3.KLLL&Q\"GTF-$\"3hLs #o!o'p8#FV7$$\"3+*****\\s]k,&F-$\"30oLuhG[NBFV7$$\"3WJLLLvv-eF-$\"3d_R Ywj`EDFV7$$\"3'3++]sgam'F-$\"3MyqrQ(zTv#FV7$$\"3G+++v\"ep[(F-$\"3QO?&4 5))**)HFV7$$\"3#QLLLe/TM)F-$\"3%\\`<:CyvD$FV7$$\"39LLLeDBJ\"*F-$\"3y=+ 7/HNCNFV7$$\"3Immm;kD!)**F-$\"3#*)oXii[m$QFV7$$\"3Mmm;f`@'3\"FV$\"3?%[ ,$R'p.>%FV7$$\"3y****\\nZ)H;\"FV$\"3cdjFS?tCXFV7$$\"3YmmmJy*eC\"FV$\"3 g:EE\\J)e\"\\FV7$$\"3')******R^bJ8FV$\"3k!p&*p&\\_b`FV7$$\"3f*****\\5a `T\"FV$\"3*fw5!4GlBeFV7$$\"3o****\\7RV'\\\"FV$\"3DMRCAO]:jFV7$$\"3k*** **\\@fke\"FV$\"3s@R@,lV5pFV7$$\"3/LLL`4Nn;FV$\"3S1i<7]m#\\(FV7$$\"3#** *****\\,s`$=FV$\"3.iw#z&3bL))FV7$$ \"3$*******pfa<>FV$\"3H>oE3([Ei*FV7$$\"3#HLLeg`!)*>FV$\"3$eu&y)QQH/\"! 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