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{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "" -1 23 "Courier" 1 10 0 0 0 0 0 0 0 0 0 0 3 0 
0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 
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{SECT 0 {PARA 0 "" 0 "" {TEXT 23 0 "" }}{PARA 0 "" 0 "" {TEXT 23 25 "F
or each of the following" }}{PARA 0 "" 0 "" {TEXT -1 15 "     (x-y)(x+
y)" }}{PARA 0 "" 0 "" {TEXT -1 10 "     xe^-y" }}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 26 "f:=(x-y)(x+y);g:=x*e^(-y);" }}}{PARA 0 "" 0 "" 
{TEXT 23 71 "1. Do a plot3d of the given function above use the follow
ing options to" }}{PARA 0 "" 0 "" {TEXT 23 65 "the plot3d command fix \+
the MISSING-STUFF and update YOUR-NAME and" }}{PARA 0 "" 0 "" {TEXT 
23 11 "WHAT-GRAPH." }}{PARA 0 "" 0 "" {TEXT 23 0 "" }}{PARA 0 "" 0 "" 
{TEXT 23 67 "plot3d(MISSING-STUFF,axes=boxed,shading=zhue,orientation=
[-145,50]," }}{PARA 0 "" 0 "" {TEXT 23 34 "title=\"YOUR-NAME and WHAT-
GRAPH\");" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "L:=3;" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "plot3d(f,x=-L..L,y=-L..L,axe
s=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "plot3d(g,x=-L.
.L,y=-L..L,axes=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}}{PARA 0 "" 0 "" {TEXT 23 66 "2. Do a plot3d of the given function
 over the same range but using" }}{PARA 0 "" 0 "" {TEXT 23 65 "the sty
le patch and contour instead of the default patch, if you " }}{PARA 0 
"" 0 "" {TEXT 23 67 "use the default graph the contours don't look so \+
good. Increase the" }}{PARA 0 "" 0 "" {TEXT 23 68 "number of samples v
ia grid or numpoints so the contours look smooth." }}{PARA 0 "" 0 "" 
{TEXT 23 19 "Remember the title." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}{PARA 0 "" 0 "" {TEXT 23 62 "3. Do a contourplot of the given func
tion over the same range." }}{PARA 0 "" 0 "" {TEXT 23 70 "(contourplot
 NOT contourplot3d).  You need to both increase the number" }}{PARA 0 
"" 0 "" {TEXT 23 65 "of samples to make the contours smooth and increa
se the number of" }}{PARA 0 "" 0 "" {TEXT 23 35 "contours to 20 (hint:
 contours=20)." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 0 "" 0 "
" {TEXT 23 65 "4. Do a gradplot of the given function over the same ra
nge, using" }}{PARA 0 "" 0 "" {TEXT 23 50 "the option arrows=thick (gr
adplot not gradplot3d)." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}
{PARA 0 "" 0 "" {TEXT 23 70 "5. Display the graphs in #3 and #4 togeth
er using the display funtion." }}{PARA 0 "" 0 "" {TEXT 23 67 "The arro
ws should cross the contours more or less perpendicular and" }}{PARA 
0 "" 0 "" {TEXT 23 65 "always point \"uphill\". The \"size\" of the ar
row is proportional to" }}{PARA 0 "" 0 "" {TEXT 23 28 "the steepest of
 the surface." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{MARK "33 0" 
0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }