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III. Consider the region inside the cylinder z2 + y2 = 12 and outside the...

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III. Consider the region inside the cylinder z2 + y2 = 12 and outside the hyperboloid x + y z = 3. 51 1. SET UP an iterated integral that gives the volume of the region using the order of integration dV = dzdxdy. Hint: The region can be divided into 8 sub-regions and then apply symmetries. Thus, consider the first octant only then multiply your answer lo 8. 2. By triple integral in cylindrical coordinates, find the volume of the region

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