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OpenStudy (anonymous):
Use cylindrical coordinates to evaluate the triple integral ∫∫∫sqrt(x2+y2)dV where E is the solid bounded by the circular parabaloid z=9−16(x2+y2) and the xy plane.
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OpenStudy (turingtest):
Convert this to cylindrical coordinates. Find the shape that the function z intersects the xy plane. The bounds of this region in the xy-plane will determine the bounds on r and theta, and z will be bound between the function and the xy-plane.
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