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Mathematics, 07.03.2020 04:41 rissaroo159

A solid right (noncircular) cylinder has its base R in the xy-plane and is bounded above by the paraboloid zequalsx2plusy2. The cylinder's volume is VequalsIntegral from 0 to 1 Integral from 0 to y (x squared plus y squared )dx dyplusIntegral from 1 to 2 Integral from 0 to 2 minus y (x squared plus y squared )dx dy Sketch the base of the region R and express the cylinder's volume as a single iterated integral with the order of integration reversed. Then evaluate the integral to find the volume.

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