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2. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y -axis. (a) y=x³, x= 1, y = 0 (b) y=√√x, x = 4, x=9, y=0

2. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y -axis. (a) y=x³, x= 1, y = 0 (b) y=√√x, x = 4, x=9, y=0

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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2. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis. (a) y=x³, x= 1, y = 0 (b) y = √√x, x=4, x=9, y=0 3. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the x-axis. (a) y² = x, y = 1, x = 0 (b) x=2y, y = 2, y = 3, x=0 4. Use cylindrical shells to find the volume of the solid that is generated when the region that is enclosed by y = x¹, y = 1, x = 0 is revolved about the line y=1.
Transcribed Image Text:2. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis. (a) y=x³, x= 1, y = 0 (b) y = √√x, x=4, x=9, y=0 3. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the x-axis. (a) y² = x, y = 1, x = 0 (b) x=2y, y = 2, y = 3, x=0 4. Use cylindrical shells to find the volume of the solid that is generated when the region that is enclosed by y = x¹, y = 1, x = 0 is revolved about the line y=1.
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