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Volumes Around Non-Axis Lines
Worksheet
Grade Level
Calculus II
CAL2.68 Volumes Around Non-Axis Lines
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Region R is bounded by y = sqrt(x), y = 1, x = 1, and x = 4. R is rotated about x = 5. Using vertical shells, which setup is correct?
A
V = 2π∫_1
4
x(sqrt(x) - 1) dx.
B
V = 2π∫_1
4
(5 - x)(sqrt(x) - 1) dx.
C
V = π∫_1
4
[(5 - sqrt(x))
2
- (5 - 1)
2
] dx.
D
V = 2π∫_1
4
(x - 5)(sqrt(x) - 1) dx.
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