Question: please solve problem attached and show all work, thanks 5. (20 points) E is a solid occupying the sphere of radius 2 centered at the

please solve problem attached and show all work, thanks

5. (20 points) E is a solid occupying the sphere of radius 2 centered at the the origin (0, 0, 0) in R3. The density at each point is proportional to the point's distance to the plane z = 2. Find the center of mass. Hint. Use symmetry Where appropriate. 1

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