A region is bounded by the parabola 2x^2+4x+y=02x2+4x+y=0 and the line y+2x+4=0y+2x+4=0. a] Evaluate the volume of the solid generated when the area of the region is revolved about the line x=1x=1. (Use a single integral.) b] Set up the integral for the volume generated when the same area is revolved about the line y=−6y=−6. (Use a single integral.)
A region is bounded by the parabola 2x^2+4x+y=02x2+4x+y=0 and the line y+2x+4=0y+2x+4=0. a] Evaluate the volume of the solid generated when the area of the region is revolved about the line x=1x=1. (Use a single integral.) b] Set up the integral for the volume generated when the same area is revolved about the line y=−6y=−6. (Use a single integral.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 7E
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A region is bounded by the parabola 2x^2+4x+y=02x2+4x+y=0 and the line y+2x+4=0y+2x+4=0.
a] Evaluate the volume of the solid generated when the area of the region is revolved about the line x=1x=1. (Use a single
b] Set up the integral for the volume generated when the same area is revolved about the line y=−6y=−6. (Use a single integral.)
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