Find the coordinates x, y of the center of gravity of a mass of density f(x, y)

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Find the coordinates x̅, y̅ of the center of gravity of a mass of density f(x, y) in the region R. Sketch R, show details.

f = ky, k > 0, arbitrary, 0 ≤ y ≤ 1 - x2, 0 ≤ x ≤ 1

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