2. Consider When the region bounded by this piecewise function, y=0, and the line x=8 is rotated about the x- axis the solid (below right) is formed. Find the volume of this solid. 5 ستر 3 f(x) = = 2 y = f(x) x if 0≤x≤ 2 2 if 2 ≤ x ≤5 x-3 if 5≤x≤8

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.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 23E
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2. Consider
4
ستر
When the region bounded by this piecewise function, y=0, and the line x=8 is rotated about the x-
axis the solid (below right) is formed. Find the volume of this solid.
3
2
1
-10
f(x) =
2
y = f(x)
if 0≤x≤2
if 2 ≤ x ≤ 5
5 ≤x≤8
X
2
x-3 if
Transcribed Image Text:2. Consider 4 ستر When the region bounded by this piecewise function, y=0, and the line x=8 is rotated about the x- axis the solid (below right) is formed. Find the volume of this solid. 3 2 1 -10 f(x) = 2 y = f(x) if 0≤x≤2 if 2 ≤ x ≤ 5 5 ≤x≤8 X 2 x-3 if
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