A lamina occupies that part of the disk x^2+y^2≤ 1 in the first quadrant, the density is proporti


Question: A lamina occupies that part of the disk \({{x}^{2}}+{{y}^{2}}\le 1\) in the first quadrant, the density is proportional to the square of the distance from the origin. Find the moments of inertia: \({{I}_{x}}\), \({{I}_{y}}\) and \({{I}_{0}}\).

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