Question: 7. Determine an appropriate coordinate system to use and set up the integral. Explain why you chose those coordinates. (a) f In sin(5tc2 + y2)

7. Determine an appropriate coordinate system to use and set up the integral. Explain why you chose those coordinates. (a) f In sin(5tc2 + y2) dA where D is the region bounded by x2 + y2 = 16 where a: S 0. (h) f In 2m 3y (#1 where D is the parallelogram with vertices (O, 0), (3, 3), (7, 3) and (4,0). (c) [IE 33:2 +61;2 dV where E is the region inside the cylinder 3/2 +z2 = 4 between the paraboloid 23: = y2 + 2:2 and the plane a: = 5
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