A lamina occupies the part of the disk x y 9 in the first quadrant and the density at each point is given by the function p x y

Question

A lamina occupies the part of the disk x y 9 in the first quadrant and the density at each point is given by the function p x y 4 x y A What is the total mass 81pi 2 B What is the moment about the y axis My ff xp x y dxdy C What is the moment about the x axis Mx ff yp x y dxdy D Where is the center of mass 1 527887 E What is the moment of inertia about the origin ff x y p x y dxdy

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