The following integral represents the volume of a solid of revolution. Describe the solid. =[^y₁ The integral y dy = [ ^* y dy = x [*^ (√x) ² R= {(x, y) osys 2 | X dy describes the volume of the solid obtained by rotating the region 0≤x≤ 2 of the xy-plane about the y-axis

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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The following integral represents the volume of a solid of revolution. Describe the solid.
4
T.S^ Y
6
The integral î
R =
y dy
4
x/*,
4
: * [ ^ (√x) ²
y dy = π
{(x, y) 0≤ y ≤ 2
X
I
dy describes the volume of the solid obtained by rotating the region
0≤x≤ 2
* } of the xy-plane about the y-axis
î
Transcribed Image Text:The following integral represents the volume of a solid of revolution. Describe the solid. 4 T.S^ Y 6 The integral î R = y dy 4 x/*, 4 : * [ ^ (√x) ² y dy = π {(x, y) 0≤ y ≤ 2 X I dy describes the volume of the solid obtained by rotating the region 0≤x≤ 2 * } of the xy-plane about the y-axis î
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