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Ch7-3WS2 - 6 f(x = x 4 4x 2 g(x = x 2 In questions 7 – 10...

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Ms. Waldron BC Calculus Ch 7.3 Volumes Using Washers Hw: Ch 7.3: 29, 30, 31 In exercises 1-6 the region in the first quadrant enclosed by the y-axis and the graphs of f(x) and g(x) is revolved about the x-axis to form a solid. Find its volume. 1. f(x) = 6 cos x, g(x) = 6 sin x 2. f(x) = 8 cos x, g(x) = 8 sin x 3. f(x) = 4 – x 2 , g(x) = 1 – (1 – x) 2 4. f(x) = x 3 , g(x) = x 5. f(x) = x 2 + 6, g(x) = 5x
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Unformatted text preview: 6. f(x) = x 4- 4x 2 , g(x) = x 2 In questions 7 – 10, the region whose boundaries are given is rotated about the line indicated. Find the volume of the solid generated. 7. y = x 2 and y = 4; about the line y = -1. 8. y = 3x – x 2 and y = x; about the x-axis. 9. y = ln x, y = 0, x = e; bout the line x = e. 10. A trapezoid with vertices (2,0), (2,2), (4,0) and (4,4); about the x-axis....
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