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A lamina occupies the region inside the circle x^2 + y^2 = 2y but outside the circle x^2 +y^2 = 1. Find the center of

A lamina occupies the region inside the circle x^2 + y^2 = 2y but outside the circle x^2 +y^2 = 1. Find the center of mass if the density at any point (x, y) is (x, y) = 214/sqrt(x^2 +y^2).

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