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{SECT 0 {EXCHG {PARA 3 "" 0 "" {TEXT -1 39 "Homework Problem 92: The M
onkey Saddle!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "restart:  \+
#this is always a good idea.  It clears the memory." }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 66 "with(plots): with(plottools):  #These loa
ds the graphing packages." }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the
 name changecoords has been redefined\n" }}{PARA 7 "" 1 "" {TEXT -1 
43 "Warning, the name arrow has been redefined\n" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 99 "f:= (x,y) -> x*y;\ng:= (x,y) -> x^3 - 3*x*y^2
;\nF:= (x,y) -> f(x,y) + 3*x;\nG:= (x,y) -> g(x,y) + 3*x;" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%\"fGf*6$%\"xG%\"yG6\"6$%)operatorG%&arrowGF)*
&9%\"\"\"9$F/F)F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gGf*6$%\"xG
%\"yG6\"6$%)operatorG%&arrowGF),&*$)9$\"\"$\"\"\"F2*(F1F2F0F2)9%\"\"#F
2!\"\"F)F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FGf*6$%\"xG%\"yG6
\"6$%)operatorG%&arrowGF),&-%\"fG6$9$9%\"\"\"*&\"\"$F3F1F3F3F)F)F)" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"GGf*6$%\"xG%\"yG6\"6$%)operatorG%&
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> " 0 "" {MPLTEXT 1 0 322 "h:=100:\nC:=[-3,0,3]:\nPf:=contourplot3d(f(
x,y),x=-4..4,y=-4..4,color=red,contours=C,grid=[h,h]):\nPg:=contourplo
t3d(g(x,y),x=-2..2,y=-2..2,color=red,contours=C,grid=[h,h]):\nPF:=cont
ourplot3d(F(x,y),x=-4..4,y=-4..4,color=blue,contours=C,grid=[h,h]):\nP
G:=contourplot3d(G(x,y),x=-2..2,y=-2..2,color=blue,contours=C,grid=[h,
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