Find the centroid of the region in the first quadrant bounded by the given curves. y = x^3, x = y^3 (x?, y?) = ( )
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From x = y^2 and y = x^3, we have y^2 = x and x = y^3. Substitute y^2 = x into x = y^3: y^2 = y^3 y^3 - y^2 = 0 y^2(y - 1) = 0 y = 0 or y = 1 Since we are in the first quadrant, y = 1 is the point of intersection. Show more…
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