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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 43 "Maple Project #1: Plottin
g Quadric Surfaces" }}{PARA 19 "" 0 "" {TEXT -1 21 "MATH 2083\nDr. Bra
wner" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 196 "
This project will help you explore some of Maple's 3D graphing capabil
ities.  The electronic version of this assignment can be found at http
://www.math.armstrong.edu/faculty/brawner/quadrics.mws. " }}}{SECT 0 
{PARA 3 "" 0 "" {TEXT -1 13 "Preliminaries" }}{PARA 0 "" 0 "" {TEXT 
-1 101 "In order to do some graphing we will need to access a Maple pa
ckage called plots.  Do this by typing " }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "with(plots):" }}}{PARA 0 "" 0 "" {TEXT -1 55 "on the \+
first command line.  (Don't forget the colon.)  " }}{PARA 0 "" 0 "" 
{TEXT -1 146 "You may also want to set some of the 3d plotting options
 in the beginning, so that you don't have to change each time.  My per
sonal favorites are:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 87 "seto
ptions3d(axes=normal, orientation=[15,75], style=patchnogrid, scaling=
constrained):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 63 "Now we're ready to begin!  I'll lead you through the firs
t one." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 20 "1. Plot an ellipsoid" }}
{PARA 0 "" 0 "" {TEXT -1 33 "Plot the ellipsoid with equation " }
{XPPEDIT 18 0 "x^2/4+y^2/9+z^2 = 1;" "6#/,(*&%\"xG\"\"#\"\"%!\"\"\"\"
\"*&%\"yGF'\"\"*F)F**$)%\"zGF'F*F*F*" }{TEXT -1 2 " ." }}{PARA 0 "" 0 
"" {TEXT -1 67 "(Notice that z is not defined explicitly as a function
 of x and y.)" }}{PARA 0 "" 0 "" {TEXT -1 81 "To plot this implicitly \+
defined surface, you can use the command  implicitplot3d." }}{PARA 0 "
" 0 "" {TEXT -1 92 "After you type in the following command and hit En
ter, a plot of your surface should appear." }}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 109 "implicitplot3d(x^2/4+y^2/9+z^2=1,x=-2..2,y=-3..3,z
=-1..1,\ntitle = `#1: An Ellipsoid plotted by Jim Brawner`);" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 49 "Substitut
e your own name in the title, of course." }}{PARA 0 "" 0 "" {TEXT -1 
92 "You may wish to change the bounds for x, y, and z, or change some \+
of the plotting options.  " }}{PARA 0 "" 0 "" {TEXT -1 91 "If you clic
k on the surface plotted, a toolbar should appear towards the top of t
he window." }}{PARA 0 "" 0 "" {TEXT -1 85 "You can click on the button
s on the toolbar to change the plot styles or axis styles." }}{PARA 0 
"" 0 "" {TEXT -1 98 "After you're satisfied with a nice looking plot, \+
click on the Printer icon to get a picture of it." }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 16 "Mystery Surfaces
" }}{PARA 0 "" 0 "" {TEXT -1 286 "Now you get to plot each of these su
rfaces, and classify each one.  Think about what appropriate bounds fo
r x, y, and z would be.  Try to guess ahead of time what the plot will
 look like.  Do not print out each of these plots; just give the type \+
of quadric surface beside each equation." }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT -1 3 "2. " }{XPPEDIT 18 0 "y = z^2-x^2;" 
"6#/%\"yG,&*$)%\"zG\"\"#\"\"\"F**$)%\"xGF)F*!\"\"" }{TEXT -1 58 "  Typ
e of quadric surface: _______________________________" }}{PARA 0 "" 0 
"" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 3 "3. " }{XPPEDIT 18 0 "16
*x^2 = y^2+4*z^2;" "6#/*&\"#;\"\"\"*$)%\"xG\"\"#F&F&,&*$)%\"yGF*F&F&*&
\"\"%F&*$)%\"zGF*F&F&F&" }{TEXT -1 58 "  Type of quadric surface: ____
___________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 
0 "" 0 "" {TEXT -1 3 "4. " }{XPPEDIT 18 0 "4*z^2-x^2-y^2 = 1;" "6#/,(*
&\"\"%\"\"\"*$)%\"zG\"\"#F'F'F'*$)%\"xGF+F'!\"\"*$)%\"yGF+F'F/F'" }
{TEXT -1 58 "  Type of quadric surface: ______________________________
_" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 3 "5. " 
}{XPPEDIT 18 0 "x^2-4*y^2+z^2 = 1;" "6#/,(*$)%\"xG\"\"#\"\"\"F)*&\"\"%
F)*$)%\"yGF(F)F)!\"\"*$)%\"zGF(F)F)F)" }{TEXT -1 58 "  Type of quadric
 surface: _______________________________" }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT -1 3 "6. " }{XPPEDIT 18 0 "x = y^2+4*z^2;
" "6#/%\"xG,&*$)%\"yG\"\"#\"\"\"F**&\"\"%F**$)%\"zGF)F*F*F*" }{TEXT 
-1 58 "  Type of quadric surface: _______________________________" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 28 "
What do I turn in?  By when?" }}{PARA 0 "" 0 "" {TEXT -1 321 "Turn in \+
this sheet, with the mystery surfaces filled in, along with a print-ou
t of your ellipsoid in #1.  You do not need to print out your plots of
 the mystery surfaces.  Your completed project is due in class Monday,
 Feb. 3.  You may work with each other on this project, but the work t
hat you hand in must be your own." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}}{MARK "0 3 0" 195 }{VIEWOPTS 1 1 0 1 1 1803 1 1 
1 1 }{PAGENUMBERS 0 1 2 33 1 1 }