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Use a change of variables to evaluate the following integral. z dV; D is bounded by the paraboloid z = 64 - x -

Use a change of variables to evaluate the following integral. z dV; D is bounded by the paraboloid z = 64 - x - 4y and the xy-plane. Use x = 8u cos v, y = 4u sin v, z= w. %3D dV = D (Type an exact answer. Use integers or fractions for any numbers in the expression.)

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Let with as the region of integration where is bounded by the paraboloid and the plane that is Clearly then we must have The given equation represents ... blur-text-image

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