(Step-by-Step) A lamina in the shape of the region bounded by y=√x, y=x^3-2 and the line x = 0. The areas density varies as the distance from the x -axis.
Question: A lamina in the shape of the region bounded by \(y=\sqrt{x},\,\,y={{x}^{3}}-2\) and the line x = 0. The areas density varies as the distance from the x -axis. Find the center of mass. Please provide an accurate sketch of the bounded region.
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