A water tower modeled by rotating the function f (x): if 0 < x ≤ 1 if 1 < x < 5 4 — (x − 7)² + 1 if 5 ≤ x ≤ 9 about the x-axis. Set up the integrals necessary to compute its volume (you don't have to evaluate the integral).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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A water tower modeled by rotating the function
f (x) =
4
3-
2
about the x-axis. Set up the integrals necessary to compute its volume (you don't have to evaluate the
integral).
1
2-x²
1
0
4- (x
-
N
if0 < x < 1
if 1 < x < 5
7)² + 1 if 5 ≤ x ≤ 9
6
8
Transcribed Image Text:A water tower modeled by rotating the function f (x) = 4 3- 2 about the x-axis. Set up the integrals necessary to compute its volume (you don't have to evaluate the integral). 1 2-x² 1 0 4- (x - N if0 < x < 1 if 1 < x < 5 7)² + 1 if 5 ≤ x ≤ 9 6 8
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