Set up, but do not evaluate the integral that gives the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. The region is shown below. x = 2√y y=6 sh ம் 4 3- 2 4 (a) About the horizontal line y = 6. V=" 10 a dx ☑ ☑ where a 0 ☑* b b=2√√60 (b) About the vertical line = 7. * √.*{[(7 – 2√y )² where a 0 xdy b=6

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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Set up, but do not evaluate the integral that gives the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis. The region is shown below.
x = 2√3
y=6
5
4
3
2
1
2
3
4
5
(a) About the horizontal line y = 6.
-b
V=T
where a =
0
2
b=2√√6 0
od x
(b) About the vertical line x = 7.
V=π
((7-2√5)²
X dy
where a
0
0° b=6
Transcribed Image Text:Set up, but do not evaluate the integral that gives the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. The region is shown below. x = 2√3 y=6 5 4 3 2 1 2 3 4 5 (a) About the horizontal line y = 6. -b V=T where a = 0 2 b=2√√6 0 od x (b) About the vertical line x = 7. V=π ((7-2√5)² X dy where a 0 0° b=6
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