III.) (20) Use polar coordinates to evaluate Dx2+y2dA where D is the part of the disk...

III.) (20)

Use polar coordinates to evaluate Dx2+y2dA where D is the part of the disk x2+y2=9 that lies above the x -axis. Sketch the region of integration.

IV.) (20) Set up a triple integral in cylindrical coordinates to find the volume of the region above the paraboloid z=x2+y2 and below the plane z=16 . (DO NOT INTEGRATE OR EVALUATE)

V.) (20) Set up a triple integral in spherical coordinates to find the volume of the solid above z=0 , below the cone z=x2+y2 and inside the sphere x2+y2+z2=16 in the first octant. (DO NOT INTEGRATE OR EVALUATE.)

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Expert Solution

milcah answered 1 year ago

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