Question: Consider the region E enclosed by the surfaces: z = x 2 + y 2 and z = 8 x 2 y 2 1) Set

Consider the region E enclosed by the surfaces:

z=x2+y2andz=8x2y2

1) Set up a triple iterated integral in cylindrical coordinates that, when solved, will give the volume of the solid (you DO NOT have to evaluate the integral).

Use dzdrd as the order of integration.

2) Set up a triple iterated integral in spherical coordinates that, when solved, will give the volume of the solid (you DO NOT have to evaluate the integral). Use ddd as the order of integration.

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