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joannaj93
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Set up the double integral for the volume bounded between the surface z=xy^2 and the plane z3yx. 0<y<3^(1/2)
 one year ago
 one year ago
joannaj93 Group Title
Set up the double integral for the volume bounded between the surface z=xy^2 and the plane z3yx. 0<y<3^(1/2)
 one year ago
 one year ago

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amistre64 Group TitleBest ResponseYou've already chosen the best response.0
dw:1352988377508:dw
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
hmmm, does the plane the the surface intersect ?
 one year ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.0
Shouldn't the formula for the plane have an equals somewhere?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
dw:1352988979091:dw pfft, i cant get a clear idea of the shape
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
z=xy^2 and the plane z3yx. 0<y<3^(1/2) y = 0 to sqrt(3) z = 0 to 3x 3x3sqrt(3)x = 0 x =  3sqrt(3)/2 to  3sqrt(3)/2 z = plane to surface; (3yx) to (xy^2)
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
\[\int_{3\sqrt3/2}^{3\sqrt3/2}~\int_{0}^{\sqrt3}~\int_{3y+x}^{xy^2} ~dz~dy~dx\] maybe
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
\[\int_{3\sqrt3/2}^{3\sqrt3/2}~\int_{0}^{\sqrt3}~{xy^2}{(3y+x)}~dy~dx\] \[\int_{3\sqrt3/2}^{3\sqrt3/2}~{\frac13x(\sqrt3)^3}{(\frac1233+x\sqrt3)}~dx\] \[\int_{3\sqrt3/2}^{3\sqrt3/2}~{x\sqrt3}{\frac92x\sqrt3}~dx\] \[\int_{3\sqrt3/2}^{3\sqrt3/2}~\frac92~dx\] its either zero or i might have my bounds mismathed
 one year ago

joannaj93 Group TitleBest ResponseYou've already chosen the best response.0
Sorry that was actually suppose to be z=3yx.
 one year ago

joannaj93 Group TitleBest ResponseYou've already chosen the best response.0
So the curve would equal C = xy^2 3y+x
 one year ago

joannaj93 Group TitleBest ResponseYou've already chosen the best response.0
Sorry :(
 one year ago
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