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1-18 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. 14. y = sin x, y = cos x, 0 < x< #/4; _about y = -1 15. y = x', y = 0, x = 1; about x = 2 16. y = x', x =y; about x = -1

1-18 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. 14. y = sin x, y = cos x, 0 < x< #/4; _about y = -1 15. y = x', y = 0, x = 1; about x = 2 16. y = x', x =y; about x = -1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1-18 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. 14. y = sin x, y = cos x, 0 < x < T/4; about y = -1 15. y = x', y = 0, x = 1; about x = 2 16. y = x², x =y'; about x = -1 17. x = y, x = 1 – y²; about x = 3 %3D 18. y = x, y = 0, x = 2, x = 4; about x = 1
Transcribed Image Text:1-18 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. 14. y = sin x, y = cos x, 0 < x < T/4; about y = -1 15. y = x', y = 0, x = 1; about x = 2 16. y = x², x =y'; about x = -1 17. x = y, x = 1 – y²; about x = 3 %3D 18. y = x, y = 0, x = 2, x = 4; about x = 1
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