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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 54 "Partial solutions to 'Prac
tices for double integrals'." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 12 "with(plots):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "Problem 2.
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 94 "implicitplot3d(\{z=2*x+
y+10,x^2+y^2=16\},x=-10..10,y=-10..10,z=0..10,axes=boxed,numpoints=100
0);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(student):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "a:=Doubleint(2*x+y+10,y=-sqr
t(16-x^2)..sqrt(16-x^2),x=-4..4);\n" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 9 "value(a);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "Prob
lem 3." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "implicitplot3d(\{
y^2+z^2=4,y=x\},x=-3..3,y=-3..3,z=-3..3,axes=boxed);" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 40 "b:=Doubleint(sqrt(4-y^2),x=0..y,y=0..2);
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "value(b);" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 11 "Problem 4. " }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 66 "implicitplot3d(z=16-x^2-4*y^2,x=-5..5,y=-3..3,z=-4..4
,axes=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "c:=Doublei
nt(16-x^2-4*y^2,y=0..sqrt(4-(x^2/4)),x=0..4);" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 9 "value(c);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
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