6. 5. Set up and evaluate a double integral representing the volume under the surface z...

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6. 5. Set up and evaluate a double integral representing the volume under the surface z = x + y but above the region in the first quadrant of the x, y -plane outside of the circle r = 4 and inside the petal of the rose r = 8sin (90) which is closest to the positive x-axis. Evaluate a double integral to compute the mass of the lamina occupying the same region in the x, y -plane as in problem #2, where the density in mg/cm at any point (x, y) is the reciprocal of the distance from the pole (0,0). Then set up but do NOT evaluate integrals for the coordinates of the center of mass. 6. 5. Set up and evaluate a double integral representing the volume under the surface z = x + y but above the region in the first quadrant of the x, y -plane outside of the circle r = 4 and inside the petal of the rose r = 8sin (90) which is closest to the positive x-axis. Evaluate a double integral to compute the mass of the lamina occupying the same region in the x, y -plane as in problem #2, where the density in mg/cm at any point (x, y) is the reciprocal of the distance from the pole (0,0). Then set up but do NOT evaluate integrals for the coordinates of the center of mass.