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The base of a solid S is bounded by the parabola x^2 = 8y and the line y = 4. Cross-sections perpendicular to the y-axis are isosceles right triangles with the hypotenuse lying in the base. Determine the exact volume of solid S

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The base of a solid S is bounded by the parabola x^2 = 8y and the line y = 4. Cross-sections perpend...
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