III. Let R be the region below enclosed by the curves 2 x = y + 2y, x + 5y = 0, and x = 5. Set up (and do not simplify) the (sum of) definite integral(s) equal to the following: 3. volume of the solid generated when R is revolved about the line x = 5 using the method of disks/washers Y (5, 1) (-1,-1) R (5,-1-√6) 17

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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III. Let R be the region below enclosed by the curves
x = y² + 2y, x + 5y = 0, and x = 5.
Set up (and do not simplify) the (sum of) definite
integral(s) equal to the following:
3. volume of the solid generated when R is revolved
about the line x = 5 using the method of
disks/washers
Y
(5, -1)
R
(5, -1-√6)
(-1,-1)
17
Transcribed Image Text:III. Let R be the region below enclosed by the curves x = y² + 2y, x + 5y = 0, and x = 5. Set up (and do not simplify) the (sum of) definite integral(s) equal to the following: 3. volume of the solid generated when R is revolved about the line x = 5 using the method of disks/washers Y (5, -1) R (5, -1-√6) (-1,-1) 17
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