# Applications of double integrals: A lamina occupies the part of the disk x^2 + y^2 <= 4 in the first quadrant. Find the center of mass of the lamina if the density at any point is proportional to the square of its distance from the origin.

Applications of double integrals:
A lamina occupies the part of the disk ${x}^{2}+{y}^{2}\le 4$ in the first quadrant. Find the center of mass of the lamina if the density at any point is proportional to the square of its distance from the origin.
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