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11.8.6 Exercises 8. Use cylindrical coordinates to evaluate the triple integral Vaz + y' dV, where E is the solid bounded by the circular paraboloid
11.8.6 Exercises 8. Use cylindrical coordinates to evaluate the triple integral Vaz + y' dV, where E is the solid bounded by the circular paraboloid z=4-1 (2 + y ) and the ry-plane. Make Interactive 9. Use spherical coordinates to evaluate the triple integral I' + y' + z'dV, where E is the ball: a' + y' + 2' $ 16. Make Interactive 10. Find the volume of the solid enclosed by the paraboloids z = 4 (x* + y ) and 2 = 18 -4 (x] +3). Make Interactive 11. Find the volume of the ellipsoid x' + y + 723 = 25. Make Interactive 15. For each of the following questions, . sketch the region of integration. . change the coordinate system in which the iterated integral is written to one of the remaining two, . evaluate the iterated integral you deem easiest to evaluate by hand. a. cos(0) de dr do
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