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A lamina occupies the part of the disk x2+y2≤1x2+y2≤1 in the first quadrant and the density...

A lamina occupies the part of the disk x2+y2≤1x2+y2≤1 in the first quadrant and the density at each point is given by the function ρ(x,y)=5(x2+y2)ρ(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?

Math   Calculus   
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