Question: Consider a lamina that occupies the region D bounded by the parabola x = 1 - y 2 and the coordinate axes in the first

Consider a lamina that occupies the region D bounded by the parabola x = 1 - y² and the coordinate axes in the first quadrant with density function p(x, y) = y.
(a) Find the mass of the lamina.
(b) Find the center of mass.
(c) Find the moments of inertia and radii of gyration about the x- and y-axes.

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