A lamina occupies the region inside the circle x2 + y2 = 8y but outside the circle x2 + y2 = 16. The density at each point is inversely proportional to its distance from the orgin. Where is the center of mass?

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A lamina occupies the region inside the circle x2 + y2 = 8y but outside the circle x2 + y2 = 16. The density at each point is inversely proportional to its distance from the orgin.

Where is the center of mass?

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