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{SECT 0 {EXCHG {PARA 18 "" 0 "top_s12_1" {TEXT -1 42 "12.1  Parameteri
zed Curves and Polar Plots" }}{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmon
te, Summer 1996" }}{PARA 0 "" 0 "" {TEXT -1 64 "These are the shaded g
ray examples which appear in Section 12.1." }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 47 "restart; plot([3*cos(t), 3*sin(t), t=0..2*Pi]);" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "r:=cos(3*t); plot([r*cos(t)
, r*sin(t), t=0..2*Pi], scaling=constrained);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"rG-%$cosG6#,$%\"tG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 44 "r:=1 / (1-sin(t)); x:=r*cos(t); y:=r*sin(t);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG*$,&\"\"\"F'-%$sinG6#%\"tG!\"\"F
," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG*&,&\"\"\"F'-%$sinG6#%\"tG!
\"\"F,-%$cosGF*F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*&,&\"\"\"F
'-%$sinG6#%\"tG!\"\"F,F(F'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Beh
old: a parabola!" }{TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "
plot([x, y, t=0..2*Pi], -5..5, -5..5);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 58 "with(plots): polarplot(r, t=0..2*Pi, view=[-5..5, -5.
.5]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "4 0 0
" 7 }{VIEWOPTS 1 1 0 1 1 1803 }