Practice: Find the volume of the solids generated by rotating the area bounded with the given functions by the given axis of rotations. a. x = y?, x = 2 – y²; about y = 1. c. x = y?, x = 2y; about x = 0.

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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a,b,c, and d please

Shell Method
| rh dy
rh dx
Page 1
Practice: Find the volume of the solids generated by rotating the area bounded with the given functions
by the given axis of rotations.
a. x = y?, x = 2 – y2; about y
1.
c. x = y?, x = 2y; about x = 0.
b. x = y?, x = 1; about x = 1.
d. x = y? + 1, x = 2; about y = -2.
Transcribed Image Text:Shell Method | rh dy rh dx Page 1 Practice: Find the volume of the solids generated by rotating the area bounded with the given functions by the given axis of rotations. a. x = y?, x = 2 – y2; about y 1. c. x = y?, x = 2y; about x = 0. b. x = y?, x = 1; about x = 1. d. x = y? + 1, x = 2; about y = -2.
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