Use the method of cylindrical shells to find the volume generated by rotating the region bounded by

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Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. Sketch the region and a typical shell.

3. у %3D1/х, у 3D 0, х3D 1, у 3D 0, х3D 1 х%3D2 4. у %3Dх*, у3D0, х%3D1 5. у— е-*, у — 0, х— 0, х?

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Jul 05, 2010 01:01 AM

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Use the method of cylindrical shells to find the volume generated by rotating the region bounded by

Question:

3. у %3D1/х, у 3D 0, х3D 1, у 3D 0, х3D 1 х%3D2 4. у %3Dх*, у3D0, х%3D1 5. у— е-*, у — 0, х— 0, х— 1 х+у 3 3 y = y = 6. у %3 3 + 2х — х", x+у-3 7. у — 4(х — 2), у —х? — 4х + 7

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3 V22de2m I 1 dz 2 x 221 2 2 4 V 2mxx dx 2 f 2 da 2 x 2 5 V 2x 2 dr Let u x Thus du 2x dr so V fe d...View the full answer

Calculus Early Transcendentals

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3. у %3D1/х, у 3D 0, х3D 1, у 3D 0, х3D 1 х%3D2 4. у %3Dх, у3D0, х%3D1 5. у— е-, у — 0, х— 0, х— 1 х+у 3 3 y = y = 6. у %3 3 + 2х — х", x+у-3 7. у — 4(х — 2), у —х? — 4х + 7