Undergraduate

A lamina occupies the part of the disk x 2 + y 2 1 in the first quadrant and the density at each point is

A lamina occupies the part of the disk x2+y21 in the first quadrant and the density at each point is given by the function (x,y)=5(x2+y2).
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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