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**Unformatted text preview: **9x 2 + 4y 2 = 36. Cross sections perpendicular to the x-axis are isosceles right triangles with the hypotenuse in the base. Find the volume. Do. The base is a region in the xy plane bounded by y = x 2 and y = 4. Cross sections are perpendicular to the y-axis. Set up integrals to find the volume if the cross sections are: 1. half-circles 2. squares 3. isosceles right triangles. If you work the problems out, the answers are: 1. 4 ; 2. 32; 3. 8...

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