Question: A slender metal arch lies along the semicircle y = a 2 - x 2 in the xy-plane. The density at the point (x, y)

A slender metal arch lies along the semicircle y = √a² - x² in the xy-plane. The density at the point (x, y) on the arch is δ(x, y) = 2a - y. Find the center of mass.

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