A lamina has the shape of the region in the first quadrant bounded by the graphs of y x2

Chapter 9, Problem 34

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A lamina has the shape of the region in the first quadrant bounded by the graphs of  \(y = x^2\) and \(y = x^3\). Find the center of mass if the density at a point P is directly proportional to the square of the distance from the origin.

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