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Find the volume of the solid obtained by rotating the region bounded by the give

ID: 3285435 • Letter: F

Question

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. Y = 2 - 1/2x, y = 0, x = 1, x = 2; about the x-axis y = 1 - x2, y = 0; about the x-axis x = 2 y, x = 0, y = 9; about the y-axis y = In x, y = 1, y = 2, x = 0; about the y-axis y = x3, y = x, x > 0; about the x-axis y = 1/4 x2. y = 5 - x2; about the x-axis y2 = x, x = 2y; about the y-axis y = 1/4 x2, x = 2, y = 0; about the y-axis y = x, y = x; about y = 1 y = e -x, y = 1, x = 2; about y = 2 y = 1 + sec x, y = 3; about y = 1 y = x, y = x; about x = 2 The region enclosed by the given curves is rotated about

Explanation / Answer

Volume for Problem 6.2 Question 6 is v=[176(pi)]/3

Volume for Problem 6.2 Question 12 is v=(pi)/2

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