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Let W be the region above the sphere x 2 + y 2 + z 2 = 6 and below the paraboloid z = 4

Let W be the region above the sphere x 2 + y 2 + z 2 = 6 and below the  paraboloid z = 4 - x 2 - y 2   as shown in Figure  below:



Figure Q3(a)

Find the equation of the projection of W on the xy -plane.

Compute the volume of W using polar coordinates.

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