Suppose the following region is spinning rapidly around the x-axis. y = -1/² x + ²/ y 3 y=x 2 3 X -1 -2- What is the volume of the space "occupied" by the region spinning about the x-axis (That is, the space where if you put an object, it would get hit.) 2 -1 'N 2 1 0 1

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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Suppose the following region is spinning rapidly around the x-axis.
1
3
y= x +
2
3
y = x
2
DA
1
0 1 2 3
X
-1
What is the volume of the space "occupied" by the region spinning about the x-axis?
(That is, the space where if you put an object, it would get hit.)
1. 219 T
59
2. ㅠ
3.
2202920 π
209
4.
TT
5. 1023 T
Transcribed Image Text:Suppose the following region is spinning rapidly around the x-axis. 1 3 y= x + 2 3 y = x 2 DA 1 0 1 2 3 X -1 What is the volume of the space "occupied" by the region spinning about the x-axis? (That is, the space where if you put an object, it would get hit.) 1. 219 T 59 2. ㅠ 3. 2202920 π 209 4. TT 5. 1023 T
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