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A Solid Is Bounded Above by the Paraboloid z=1−x2−y2z = 1 - x ^ { 2 } - y ^ { 2 }

Question 183

Essay

A solid is bounded above by the paraboloid z=1−x2−y2z = 1 - x ^ { 2 } - y ^ { 2 } and below by the xy-plane. Compute the volume of this solid using polar coordinates.

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