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Let E Be the Solid Under the Paraboloid z=16x2y2z = 16 - x ^ { 2 } - y ^ { 2 }

Question 240

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Let E be the solid under the paraboloid z=16x2y2z = 16 - x ^ { 2 } - y ^ { 2 } , above the xy-plane, and between the planes x = 2 and x = 3. Express the volume of E as an iterated integral in rectangular coordinates.

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