For the following exercises, draw the region bounded by the curves. Then, find the volume when the region is rotated around the y-axis. 1 24. y=4- 2x, x x, x = 0, and y = 0 25. y = 2x3, x = 0, x = 1, and y = 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...
Question
For the following exercises, draw the region bounded by the curves. Then,
find the volume when the region is rotated around the y-axis.
1
24. y=4-
2x, x
x, x = 0, and y = 0
25. y = 2x3, x = 0, x = 1, and y = 0
Transcribed Image Text:For the following exercises, draw the region bounded by the curves. Then, find the volume when the region is rotated around the y-axis. 1 24. y=4- 2x, x x, x = 0, and y = 0 25. y = 2x3, x = 0, x = 1, and y = 0
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