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{SECT 0 {EXCHG {PARA 18 "" 0 "top_s05_2" {TEXT -1 23 "5.2  Graphical A
nalysis" }}{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 5.2. In-line plots have been removed to conserve di
sk space." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "restart; f:=ex
p(x) / (x^3 + x -1 + 0.2*exp(x));\nplot(f, x=-5..15, y=-10..10);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*&-%$expG6#%\"xG\"\"\",**$F)\"\"
$F*F)F*!\"\"F*F&$\"\"#F.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
27 "fsolve(denom(f)=0, x=0..1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"
+10*Q@&!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "Limit(f, x=-i
nfinity); value(\");\nLimit(f, x=infinity); value(\");" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#-%&LimitG6$*&-%$expG6#%\"xG\"\"\",**$F*\"\"$F+F*F+
!\"\"F+F'$\"\"#F/F//F*,$%)infinityGF/" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%&LimitG6$*&-%$expG6#%\"x
G\"\"\",**$F*\"\"$F+F*F+!\"\"F+F'$\"\"#F/F//F*%)infinityG" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#$\"\"&\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 40 "Df:=diff(f, x); a:=fsolve(Df=0, x=2..4);" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#DfG,&*&-%$expG6#%\"xG\"\"\",**$F*\"\"$F+F*F+
!\"\"F+F'$\"\"#F/F/F+*(F'F+F,!\"#,(*$F*F1F.F+F+F'F0F+F/" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%\"aG$\"+'>*G$*G!\"*" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 36 "plot(\{f, Df\}, x=0.5..15, y=-10..10);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "DDf:=diff(Df, x); b:=fsolve(DDf=0, \+
x=6..10);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$DDfG,**&-%$expG6#%\"xG
\"\"\",**$F*\"\"$F+F*F+!\"\"F+F'$\"\"#F/F/F+*(F'F+F,!\"#,(*$F*F1F.F+F+
F'F0F+F3*(F'F+F,!\"$F4F1F1*(F'F+F,F3,&F*\"\"'F'F0F+F/" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%\"bG$\"+7*)RJ\")!\"*" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 37 "plot(\{f, DDf\}, x=0.5..15, y=-10..10);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "8 0 0" 0 }{VIEWOPTS 1 
1 0 1 1 1803 }