Set up and evaluate the integral needed to find the exact volume V of the solid whose base is in the first quadrant bounded by the curve , the line x = 0, the line x = 1, and the x-axis. The cross-section slices are triangles whose bases are perpendicular to the x-axis with each base equal to the height of the triangle.

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Q: Ex9: A solid has its base, R, formed by y = 5x - x² and y = x in the xy-plane. Find the volume of…

A:

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Q: 3) Find the volume of the first quadrant region bounded by y = x² , the y-axis and y = 4 rotated…

A: Please refer the attached image for complete solution.

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Q: Find the volume

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Q: 16 : = 16 – x² – y? 2 y = 4x – 2 y = 2Vx

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A: Given: the radius of the cone= 9 units height of the cone=9 units the radius of the hole(cylinder)=1…