A lamina occupies the part of the disk x2 + y2 ≤ 4 in the first quadrant and the density at each point is given by the function ρ(x,y) = 4(x^2+y^2). A. What is the total mass? B. What is the moment about the x-axis? C. What is the moment about the y-axis? D. Where is the center of mass? ( ? , ? ) E. What is the moment of inertia about the origin?
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