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" {TEXT -1 74 "Below, we solve for x if y=0 or if y=2 from our solutio
n, y^3-3y = x^3+x-2" }}{PARA 0 "" 0 "" {TEXT -1 80 "These are the y-va
lues for which we have vertical tangent lines- Our solution is" }}
{PARA 0 "" 0 "" {TEXT -1 32 "only valid within these regions." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "solve(x^3+x-2=0,x);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6%\"\"\",&#!\"\"\"\"#F#*&^##F#F'F#-%%sqr
tG6#\"\"(F#F#,&F%F#*&^#F%F#F+F#F#" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 19 "solve(x^3+x+2=0,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "
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&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 98 "We see that x=1 or x=-1 wi
ll give a vertical tangent line.  Therefore, our solution (since y(0)=
1)" }}{PARA 0 "" 0 "" {TEXT -1 36 "is only valid in the interval -1<x<
1" }}}}{MARK "15 1 0" 36 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }