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45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "Find a functi
on whose gradient is [y,x+2y]" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 19 "F1:=int(y,x)+C1(y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F1G,&*
&%\"yG\"\"\"%\"xGF(F(-%#C1G6#F'F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 23 "F2:=int(x+2*y,y)+C2(x);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%#F2G,(*&%\"yG\"\"\"%\"xGF(F(*$)F'\"\"#F(F(-%#C2G6#F)F(" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "By inspection, C1(y)=y^2 and no no
ntrivial C2(x) is needed." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Exer
cises:  16.1 problems 26, 28.  " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 76 "16.2 problems 23, 30 (commands I defined \+
above should be perfect for these)." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }
}{PARA 0 "" 0 "" {TEXT -1 114 "16.3 problem 19.  In this problem, use \+
16.2 and 16.3 techniques to evaluate the integral (use the obvious str
aight" }}{PARA 0 "" 0 "" {TEXT -1 19 "line segment path)." }}}}{MARK "
23 4 0" 29 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 
1 }