Question: Need some help with these questions 1. Find the volume of the solid bounded above by f (x) = x2, below by the x-axis, and


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Need some help with these questions


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1. Find the volume of the solid bounded above by f (x) = x2, below by the x-axis, and rotated about the y-axis over the interval [1,2]. 2. Find the volume of the solid bounded above by f (x) = 3x - x2, below by the x-axis, and rotated about the y-axis over the interval [0,2].3. Find the volume of the solid bounded on the right by g(y) = $, the left by the y-axis, and rotated about the x-axis over the y-axis interval [1,3]. 4. Find the volume of the solid bounded above by f (x) = x2, below by the x-axis, and rotated about the line x = -2 over the interval [0,1].5. Find the volume of the solid bounded above by f(x) = x, below by g(x) = x2, and rotated about the y-axis over the interval [0,1]. 6. Select the best method of all the types we've explored this chapter in order to find the volume of the solid of revolution formed by y = 2 - x2 and y = x2, when rotated about the x-axis. (Feel free to try more than 1 technique to ensure you arrived at the correct solution)
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