III.) (20)
Use polar coordinates to evaluateDx2+y2dAwhere D is the part of the diskx2+y2=9 thatlies above the x -axis. Sketch the region ofintegration.
IV.) (20) Set up a triple integral in cylindricalcoordinates to find the volume of the region above theparaboloidz=x2+y2 andbelow the plane z=16 . (DO NOT INTEGRATE OREVALUATE)
V.) (20) Â Â Set up a triple integral inspherical coordinates to find the volume of the solidabove z=0 , below the conez=x2+y2 andinside the spherex2+y2+z2=16in the first octant. (DO NOT INTEGRATE OREVALUATE.)
