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

Consider the region E enclosed by the surfaces:

z=x2+y2andz=8x2y2

1) Draw the solid E in R3Clearly label your drawing (label each boundary surface and each axis).

2) Set up a triple iterated integral in Cartesian/rectangular coordinates that, when solved, will give the volume of the solid. Use dzdydx as the order of integration.

you DO NOT have to evaluate the integral.

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