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{SECT 0 {EXCHG {PARA 18 "" 0 "top_s08_2" {TEXT -1 11 "8.2  Volume" }}
{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 1996" }}{PARA 0 "" 
0 "" {TEXT -1 119 "These are the shaded gray examples which appear in \+
Section 8.1. In-line plots have been removed to conserve disk space." 
}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Example 1" }}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 55 "restart; f:=-x^2 + 5*x - 2; g:=x; plot(\{f, g
\}, x=0..4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,(*$%\"xG\"\"#!
\"\"F'\"\"&!\"#\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG%\"xG" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "a:=fsolve(f=g, x=0..1); b
:=fsolve(f=g, x=3..4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG$\"+wV
'y&e!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG$\"+iN@9M!\"*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "Int(Pi * (f^2 - g^2), x=a..b
); evalf(\");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$*&%#PiG\"\"
\",&*$,(*$%\"xG\"\"#!\"\"F-\"\"&!\"#F(F.F(F,F/F(/F-;$\"+wV'y&e!#5$\"+i
N@9M!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+)=0Zj'!\")" }}}}{SECT 
0 {PARA 3 "" 0 "" {TEXT -1 9 "Example 2" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 38 "Int(2*Pi*x * (f-g), x=a..b); evalf(\");" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#-%$IntG6$,$*(%#PiG\"\"\"%\"xGF),(*$F*\"\"#!\"\"F
*\"\"%!\"#F)F)F-/F*;$\"+wV'y&e!#5$\"+iN@9M!\"*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$\"+M^2RZ!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}}}{MARK "0 0 0" 11 }{VIEWOPTS 1 1 0 1 1 1803 }