1. Compute the volume obtained by rotating about the y-axis, the region bounded 1 1 by y = 0, y = (1 – 3x2)5/2 = 0, and x 4 12 06 -0.4 -02 12 14 16 22 24 26 28

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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1.
Compute the volume obtained by rotating about the y-axis, the region bounded
1
by y = 0, y =
(1 –
3x2)5/2'*
,x = 0, and x =
4°
1.6
12
06
0.4
0.2
-d.8
-0.6
-0.4
-0.2
0.2
0.4
0.6
0.8
12
14
16
18
2.2
24
2.6
Z.8
Transcribed Image Text:1. Compute the volume obtained by rotating about the y-axis, the region bounded 1 by y = 0, y = (1 – 3x2)5/2'* ,x = 0, and x = 4° 1.6 12 06 0.4 0.2 -d.8 -0.6 -0.4 -0.2 0.2 0.4 0.6 0.8 12 14 16 18 2.2 24 2.6 Z.8
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