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  3. iii.) (20) use polar coordinates to evaluate dx2+y

III.) (20) Use polar coordinates to evaluate Dx2+y2dA where D is the part of the disk x2+y2=9 that lies above...

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Basic Math

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)   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.)

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