A lamina occupies the part of the disk x 2 + y 2 < a 2 that
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A lamina occupies the part of the disk x2 + y2 < a2 that lies in the first quadrant.
(a) Find the centroid of the lamina.
(b) Find the center of mass of the lamina if the density function is p(x, y) = xy2.
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