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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT 259 45 "Creating a Masterpiece \+
with Parametric Plots " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 107 "In order to create your picture, you wil
l plot several parameterized curves together on one axes. Maple's " }
{TEXT 260 7 "display" }{TEXT -1 77 " command will do the trick. You w
ill need to load the \"plots\" package first:" }}{PARA 0 "" 0 ""
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots)
:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 87 "Next produce a plot of each \+
of the curves in your picture, naming each one accordingly." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 412 "head:=plot([2*cos(t),2*sin(
t),t=0..2*Pi],color=black): lefteye:=plot([-.6+(.2)*cos(t),(.7)+(.2)*s
in(t),t=0..2*Pi],color=black): righteye:=plot([.6+(.2)*cos(t),(.7)+(.2
)*sin(t),t=0..2*Pi],color=black): leftiris:=plot([-.5+.05*cos(t),(.7)+
.05*sin(t),t=0..2*Pi],color=blue): rightiris:=plot([.5+.05*cos(t),(.7)
+.05*sin(t),t=0..2*Pi],color=blue): mouth:=plot([cos(t),(-.4)-sin(t),t
=0..Pi],color=red): " }}}{EXCHG {PARA 0 "" 0 "" {TEXT
-1 41 "Finally, display the curves all together:" }}}{EXCHG {PARA 0 ">
" 0 "" {MPLTEXT 1 0 116 "display([head,lefteye,righteye,leftiris,righ
tiris,mouth],axes=none,title=`Smile!`,thickness=3,scaling=constrained)
; " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT
261 18 "A Word of Warning:" }{TEXT -1 561 " The names \"head\", \"lef
teye\", \"righteye\", etc. are variables; serving to name various port
ions of the picture. Although these variables allow us to remember wh
at each parameterization does, you could have also named the variables
with letters (for example, \"a\" through \"f\" would have worked fine
.) Please note, however, that you should avoid using the variable \"t
\". This is because t is used as the parameter in each of the paramet
erizations. If t is defined to be a plot in one line, then Maple will
not be able to use t as a parameter in the next line. " }}}}{MARK "7
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