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Let E Be the Solid Under the Plane X x=4y2x = 4 - y ^ { 2 }

Question 33

Essay

Let E be the solid under the plane x + y + z = 5 and above the region in the xy-plane bounded by x=4y2x = 4 - y ^ { 2 } and x + y = 2. Express the volume of E as an iterated integral in rectangular coordinates.

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