Consider the region inside the cylinder x2 + y = 12 and outside the hyper- boloid...

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Consider the region inside the cylinder x2 + y² = 12 and outside the hyper- boloid x2 + y? – z² = 3. a.) SET UP an iterated integral that gives the volume of the region using the order of integration dV then apply symmetries. dzdxdy. Hint: The region can be divided into 8 sub-regions and b.) By triple integral in cylindrical coordinates, find the volume of the region. Consider the region inside the cylinder x2 + y² = 12 and outside the hyper- boloid x2 + y? – z² = 3. a.) SET UP an iterated integral that gives the volume of the region using the order of integration dV then apply symmetries. dzdxdy. Hint: The region can be divided into 8 sub-regions and b.) By triple integral in cylindrical coordinates, find the volume of the region.