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{SECT 0 {PARA 259 "" 0 "" {TEXT 258 20 "AREAS BETWEEN CURVES" }}{PARA 
257 "" 0 "" {TEXT -1 0 "" }}{PARA 256 "" 0 "" {TEXT 257 0 "" }{TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 256 19 "Calculus I Proj
ect " }}{SECT 0 {PARA 3 "" 0 "" {TEXT 265 10 "Objective:" }}{PARA 0 "
" 0 "" {TEXT -1 42 " To master computing areas between curves." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 84 "Maple wil
l help you to plot functions, to find zeros of functions, and to integ
rate." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 268 0 "" }{TEXT 256 14 "Solved
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F*" }{TEXT -1 17 "  and the  x-axis" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }
}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 0 "" }{TEXT 269 0 "" }{TEXT 270 9 "
Solution:" }}{PARA 0 "" 0 "" {TEXT -1 79 "The first step toward solvin
g this problem is to sketch the graph of the curve." }}{PARA 0 "" 0 "
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0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 
"" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "r:=f
solve(f=0,x);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG6%$\"+Wyx(p'!
#5$\"+7\"f<j$!\"*$\"+/JY)>*F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "Int(-f,x=r[1]..r[2
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6$,**&$\"$G\"!\"$\"\"\")%\"xG\"\"$F,F,*&$\"%G<F+F,)F.\"\"#F,!\"\"*&$\"
%w`F+F,F.F,F,$\"%kGF+F5/F.;$\"+Wyx(p'!#5$\"+7\"f<j$!\"*F,-F%6$,**&$F*F
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" {MPLTEXT 1 0 10 "evalf(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+
(z;]]#!\")" }}}{PARA 0 "" 0 "" {TEXT -1 76 "The area bounded by the cu
rve and the  x-axis  is  25.05016797 square units." }}{PARA 13 "" 1 "
" {TEXT -1 0 "" }}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}{PARA 3 "" 0 "" 
{TEXT -1 49 "_________________________________________________" }}
{PARA 260 "" 0 "" {TEXT -1 0 "" }{TEXT 259 10 "ASSIGNMENT" }}{PARA 0 "
" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 258 "" 0 "" {TEXT -1 0 "" }{TEXT 
260 0 "" }{TEXT 261 0 "" }{TEXT 262 0 "" }{TEXT 263 10 "Problem 1." }}
{PARA 0 "" 0 "" {TEXT -1 85 "Compute the area of the region bounded by
 the curve of the example above and  g(x) = " }{XPPEDIT 18 0 ".8e-1*x^
3-.84*x^2+1.44*x+4.32;" "6#,**&-%&FloatG6$\"\")!\"#\"\"\"*$%\"xG\"\"$F
*F**&-F&6$\"#%)F)F**$F,\"\"#F*!\"\"*&-F&6$\"$W\"F)F*F,F*F*-F&6$\"$K%F)
F*" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 
3 "" 0 "" {TEXT -1 0 "" }{TEXT 264 10 "Problem 2." }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }{TEXT 266 0 "" }{TEXT 267 45 " Find the area of the reg
ion bounded by    y " }{TEXT -1 4 "  = " }{XPPEDIT 18 0 "x^3+x^2-x;" "
6#,(*$%\"xG\"\"$\"\"\"*$F%\"\"#F'F%!\"\"" }{TEXT -1 13 "  and    y = \+
" }{XPPEDIT 18 0 "20*sin(x^2);" "6#*&\"#?\"\"\"-%$sinG6#*$%\"xG\"\"#F%
" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 0 "" }
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