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{TEXT 211 0 "" }}{PARA 0 "" 0 "" {TEXT 209 13 "Assignment 2:" }{TEXT 
211 97 "   Plot the ellipse whose center is (0,-1) whose vertical axis
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}}}{EXCHG {PARA 211 "" 0 "" {TEXT 200 21 "Completing the Square" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT 211 95 "It is useful to convert an equati
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ypesetting:-mi(\"y\")), Typesetting:-mi(\"\")), Typesetting:-mi(\"\"))
;" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF'6%-I#miGF$6#Q
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XFenFhnF[o-F#6%-F46#Q#36F'F7Fco-F863Q\"+F'F;F>FAF_pFapFHFJFLFOFRFTFVFX
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{XPPMATH 20 "\"##*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "newle
ft:=completesquare(left, \{x, y\});" }}{PARA 11 "" 1 "" {XPPMATH 20 ",
(*&\"#;\"\"\"),&I\"yG6\"F%F%!\"\"\"\"#F%F%\"#_F**&\"\"*F%),&I\"xGF)F%F
+F*F+F%F%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 211 64 "The \{x,y\} tells M
aple to complete the square in both variables" }}{PARA 0 "" 0 "" {TEXT
 211 0 "" }}{PARA 0 "" 0 "" {TEXT 211 55 "The next step is to move the
 -52 to the right hand side" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
43 "right := right +52; finalleft:= newleft+52;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "\"$W\"" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&*&\"#;\"\"\"),&
I\"yG6\"F%F%!\"\"\"\"#F%F%*&\"\"*F%),&I\"xGF)F%F+F*F+F%F%" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT 211 0 "" }}{PARA 0 "" 0 "" {TEXT 211 58 "Then di
vide by 144 to make the right hand side equal to 1." }}{PARA 0 "" 0 ""
 {TEXT 211 0 "" }}{PARA 0 "" 0 "" {TEXT 211 36 "Finally we give the eq
uation a name." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "eqn:= fin
alleft/right = 1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "/,&*&#\"\"\"\"\"*F&
),&I\"yG6\"F&F&!\"\"\"\"#F&F&*&#F&\"#;F&),&I\"xGF+F&F-F,F-F&F&F&" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "implicitplot(eqn, x=-6..8,y=
-12..16, scaling=constrained);" }}{PARA 13 "" 1 "" {TEXT 212 0 "" }
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$!2X*4tDOy')=F=F\\vF7-%&COLORG6&%$RGBG$F1FC$\"\"!FCFh_l-%(SCALINGG6#%,
CONSTRAINEDG-%*GRIDSTYLEG6#%,RECTANGULARG" 1 2 2 1 10 1 2 6 1 4 1 1.0 
45.0 45.0 1 0 "Curve 1" }}{TEXT 212 0 "" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT 210 13 "Assignment 3:" }{TEXT 211 26 "    Identify the equation \+
" }{XPPEDIT 18 0 "Typesetting:-mrow(Typesetting:-mi(\"\"), Typesetting
:-mrow(Typesetting:-mi(\"\"), Typesetting:-mrow(Typesetting:-mi(\"\"),
 Typesetting:-mrow(Typesetting:-mn(\"9\"), Typesetting:-mo(\"&Invisibl
eTimes;\", form = \"infix\", fence = \"false\", separator = \"false\",
 lspace = \"0.0em\", rspace = \"0.0em\", stretchy = \"false\", symmetr
ic = \"false\", maxsize = \"infinity\", minsize = \"1\", largeop = \"f
alse\", movablelimits = \"false\", accent = \"false\", font_style_name
 = \"2D Comment\", size = \"12\", foreground = \"[0,0,0]\", background
 = \"[255,255,255]\"), Typesetting:-mrow(Typesetting:-mi(\"\"), Typese
tting:-msup(Typesetting:-mi(\"x\"), Typesetting:-mn(\"2\"), superscrip
tshift = \"0\"), Typesetting:-mi(\"\")), Typesetting:-mi(\"\")), Types
etting:-mo(\"+\", form = \"infix\", fence = \"false\", separator = \"f
alse\", lspace = \"0.2222222em\", rspace = \"0.2222222em\", stretchy =
 \"false\", symmetric = \"false\", maxsize = \"infinity\", minsize = \+
\"1\", largeop = \"false\", movablelimits = \"false\", accent = \"fals
e\", font_style_name = \"2D Comment\", size = \"12\", foreground = \"[
0,0,0]\", background = \"[255,255,255]\"), Typesetting:-mrow(Typesetti
ng:-mn(\"4\"), Typesetting:-mo(\"&InvisibleTimes;\", form = \"infix\",
 fence = \"false\", separator = \"false\", lspace = \"0.0em\", rspace \+
= \"0.0em\", stretchy = \"false\", symmetric = \"false\", maxsize = \"
infinity\", minsize = \"1\", largeop = \"false\", movablelimits = \"fa
lse\", accent = \"false\", font_style_name = \"2D Comment\", size = \"
12\", foreground = \"[0,0,0]\", background = \"[255,255,255]\"), Types
etting:-mrow(Typesetting:-mi(\"\"), Typesetting:-msup(Typesetting:-mi(
\"y\"), Typesetting:-mn(\"2\"), superscriptshift = \"0\"), Typesetting
:-mi(\"\")), Typesetting:-mi(\"\")), Typesetting:-mo(\"+\", form = \"i
nfix\", fence = \"false\", separator = \"false\", lspace = \"0.2222222
em\", rspace = \"0.2222222em\", stretchy = \"false\", symmetric = \"fa
lse\", maxsize = \"infinity\", minsize = \"1\", largeop = \"false\", m
ovablelimits = \"false\", accent = \"false\", font_style_name = \"2D C
omment\", size = \"12\", foreground = \"[0,0,0]\", background = \"[255
,255,255]\"), Typesetting:-mrow(Typesetting:-mn(\"36\"), Typesetting:-
mo(\"&InvisibleTimes;\", form = \"infix\", fence = \"false\", separato
r = \"false\", lspace = \"0.0em\", rspace = \"0.0em\", stretchy = \"fa
lse\", symmetric = \"false\", maxsize = \"infinity\", minsize = \"1\",
 largeop = \"false\", movablelimits = \"false\", accent = \"false\", f
ont_style_name = \"2D Comment\", size = \"12\", foreground = \"[0,0,0]
\", background = \"[255,255,255]\"), Typesetting:-mi(\"x\")), Typesett
ing:-mi(\"\")), Typesetting:-mo(\"=\", form = \"infix\", fence = \"fal
se\", separator = \"false\", lspace = \"0.2777778em\", rspace = \"0.27
77778em\", stretchy = \"false\", symmetric = \"false\", maxsize = \"in
finity\", minsize = \"1\", largeop = \"false\", movablelimits = \"fals
e\", accent = \"false\", font_style_name = \"2D Comment\", size = \"12
\", foreground = \"[0,0,0]\", background = \"[255,255,255]\"), Typeset
ting:-mn(\"0\")), Typesetting:-mi(\"\"));" "-I%mrowG6#/I+modulenameG6
\"I,TypesettingGI(_syslibGF'6%-I#miGF$6#Q!F'-F#6&F+-F#6)F+-F#6&-I#mnGF
$6#Q\"9F'-I#moGF$63Q1&InvisibleTimes;F'/%%formGQ&infixF'/%&fenceGQ&fal
seF'/%*separatorGFB/%'lspaceGQ&0.0emF'/%'rspaceGFG/%)stretchyGFB/%*sym
metricGFB/%(maxsizeGQ)infinityF'/%(minsizeGQ\"1F'/%(largeopGFB/%.movab
lelimitsGFB/%'accentGFB/%0font_style_nameGQ+2D~CommentF'/%%sizeGQ#12F'
/%+foregroundGQ([0,0,0]F'/%+backgroundGQ.[255,255,255]F'-F#6%F+-I%msup
GF$6%-F,6#Q\"xF'-F66#Q\"2F'/%1superscriptshiftGQ\"0F'F+F+-F:63Q\"+F'F=
F@FC/FFQ,0.2222222emF'/FIFbpFJFLFNFQFTFVFXFZFgnFjnF]o-F#6&-F66#Q\"4F'F
9-F#6%F+-Fco6%-F,6#Q\"yF'FhoF[pF+F+F^p-F#6%-F66#Q#36F'F9FeoF+-F:63Q\"=
F'F=F@FC/FFQ,0.2777778emF'/FIFiqFJFLFNFQFTFVFXFZFgnFjnF]o-F66#Q\"0F'F+
" }{TEXT 211 56 " as a circle or ellipse in standard form.  Then plot \+
it." }}}}
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33 1 1 }