## Question

###### The moment of inertia about the origin for a lamina in the shape of' region R is given by the integral JS,(x2 y2) p(x,y) dA_ where p(x,Y) is the density function. Set up polar double integral t0 find thc moment of inertia for the part ofthe ring in the first and second quadrant between the lines and v3r and the circles 16 and r 100 where the density function is given by plx,y) = (x+y2)'_ Do not evaluate. (10 points)

The moment of inertia about the origin for a lamina in the shape of' region R is given by the integral JS,(x2 y2) p(x,y) dA_ where p(x,Y) is the density function. Set up polar double integral t0 find thc moment of inertia for the part ofthe ring in the first and second quadrant between the lines and v3r and the circles 16 and r 100 where the density function is given by plx,y) = (x+y2)'_ Do not evaluate. (10 points)

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