Question: Why are x and , y in Prob. 25 independent of k? Data from Prob. 25 Find the coordinates x, y of the center of

Why are x̅ and , y̅ in Prob. 25 independent of k?

Data from Prob. 25

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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