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Let E Be the Solid Under z=1−y2z = 1 - y ^ { 2 }

Question 232

Essay

Let E be the solid under z=1−y2z = 1 - y ^ { 2 } and above the region in the xy-plane bounded by x + y = 1 and x + y = 2. Sketch the solid, then express the volume of E as an iterated integral in rectangular coordinates.

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