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{SECT 0 {EXCHG {PARA 3 "" 0 "" {TEXT -1 19 "Homework Problem 68" }}}
{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 0 160 "with(plots); with(plottools);  #These loads the grap
hing packages.  If I had used  :  instead of  ;  at the end, it would \+
not have shown me the packages loaded." }}{PARA 7 "" 1 "" {TEXT -1 50 
"Warning, the name changecoords has been redefined\n" }}{PARA 12 "" 1 
"" {XPPMATH 20 "6#7Z%(animateG%*animate3dG%-animatecurveG%&arrowG%-cha
ngecoordsG%,complexplotG%.complexplot3dG%*conformalG%,conformal3dG%,co
ntourplotG%.contourplot3dG%*coordplotG%,coordplot3dG%-cylinderplotG%,d
ensityplotG%(displayG%*display3dG%*fieldplotG%,fieldplot3dG%)gradplotG
%+gradplot3dG%,graphplot3dG%-implicitplotG%/implicitplot3dG%(inequalG%
,interactiveG%-listcontplotG%/listcontplot3dG%0listdensityplotG%)listp
lotG%+listplot3dG%+loglogplotG%(logplotG%+matrixplotG%(odeplotG%'paret
oG%,plotcompareG%*pointplotG%,pointplot3dG%*polarplotG%,polygonplotG%.
polygonplot3dG%4polyhedra_supportedG%.polyhedraplotG%'replotG%*rootloc
usG%,semilogplotG%+setoptionsG%-setoptions3dG%+spacecurveG%1sparsematr
ixplotG%+sphereplotG%)surfdataG%)textplotG%+textplot3dG%)tubeplotG" }}
{PARA 7 "" 1 "" {TEXT -1 43 "Warning, the name arrow has been redefine
d\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7F%$arcG%&arrowG%'circleG%%cone
G%'cuboidG%&curveG%&cutinG%'cutoutG%)cylinderG%%diskG%-dodecahedronG%(
ellipseG%,ellipticArcG%+hemisphereG%+hexahedronG%*homothetyG%*hyperbol
aG%,icosahedronG%%lineG%+octahedronG%)piesliceG%&pointG%(polygonG%(pro
jectG%*rectangleG%(reflectG%'rotateG%&scaleG%*semitorusG%'sphereG%)ste
llateG%,tetrahedronG%&torusG%*transformG%*translateG%%vrmlG" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "T:= (x,y) -> 100/(x^2 + y^2 \+
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f*6$%\"xG%\"yG6\"6$%)operatorG%&arrowGF),$*&\"$+\"\"\"\",(*$)9$\"\"#F0
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1 0 106 "plot3d(T(x,y),x=-2..2,y=-2..2,numpoints=1000);  #If you want \+
to know your options for plot3d, use  ?plot3d" }}{PARA 13 "" 1 "" 
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{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT -1 285 "One very nice thin
g about Maple is that you can rotate 3D objects using the mouse.  Left
 click on the surface a spin it 'round.  If you right click on it, you
 can change the formats, or export it.  It looks like it has circular \+
symmery, and if we plot the contours, we find that is so." }}{PARA 0 "
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