5. (?? points) Find the center of mass of the quarter disk in the first quadrant...

 

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5. (?? points) Find the center of mass of the quarter disk in the first quadrant bounded by ²+²=4, where the density is p(x,y) = 1+z²+². Sketch the region of integration and set up the three integrals in cartesian coordinates first, then change to polar coordinates to evaluate them. You may use Maple to evaluate the integrals without showing any work. 5. (?? points) Find the center of mass of the quarter disk in the first quadrant bounded by ²+²=4, where the density is p(x,y) = 1+z²+². Sketch the region of integration and set up the three integrals in cartesian coordinates first, then change to polar coordinates to evaluate them. You may use Maple to evaluate the integrals without showing any work.

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