Which of the following represents the volume of the solid generated by revolving the region bounded by f(x)=(x-1)³ and g(x)=x-1 about the x-axis? ₂1 ₂2 A πS [(x - 1)6 - (x - 1)²]dx - π [(x − 1)² - (x - 1)º]dx T 1 ℗ 2x S x [(x-1) ³ - (x-1) ]dx + 2x²x[(x-1)-(x-1) ³]dx B 0 1 1 2 2л x f'x[(x− 1) - (x-1) ³]dx + 2x [*³x[(x− 1) ³ – (x− 1) ]dx 0 1 ₂1 2 ℗ ₁ √ [(x - 1)² - (x - 1)³]dx + ²[(x − 1)² - (x - 1)º]dx π
Which of the following represents the volume of the solid generated by revolving the region bounded by f(x)=(x-1)³ and g(x)=x-1 about the x-axis? ₂1 ₂2 A πS [(x - 1)6 - (x - 1)²]dx - π [(x − 1)² - (x - 1)º]dx T 1 ℗ 2x S x [(x-1) ³ - (x-1) ]dx + 2x²x[(x-1)-(x-1) ³]dx B 0 1 1 2 2л x f'x[(x− 1) - (x-1) ³]dx + 2x [*³x[(x− 1) ³ – (x− 1) ]dx 0 1 ₂1 2 ℗ ₁ √ [(x - 1)² - (x - 1)³]dx + ²[(x − 1)² - (x - 1)º]dx π
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Which of the following represents the volume of the solid generated by revolving the region bounded by about the x-axis?
![Which of the following represents the volume of the solid generated by revolving the region bounded by
f(x)=(x-1)³ and g(x)=x-1 about the x-axis?
₂2
A πS [(x - 1)6 - (x - 1)²]dx - π [(x − 1)² - (x - 1)º]dx
T
1
℗ 2x S x [(x-1) ³ - (x - 1)]dx + 2π
B
*²x[(x-1)-(x-1) ³]dx
0
1
1
2
2π
x ["'x[(x− 1) - (x− 1) ³]dx + 2x [*³x[(x− 1) ³ – (x− 1) ]dx
0
1
₂1
2
℗ ₁²[(x - 1)² - (x - 1)³]dx + ²[(x − 1)² - (x − 1)º]dx
π](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2bf417e-9367-4b7e-b98a-79d5b5ae02ef%2F9821f0c2-c478-44d0-901a-daebe30ff293%2F3i371xl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following represents the volume of the solid generated by revolving the region bounded by
f(x)=(x-1)³ and g(x)=x-1 about the x-axis?
₂2
A πS [(x - 1)6 - (x - 1)²]dx - π [(x − 1)² - (x - 1)º]dx
T
1
℗ 2x S x [(x-1) ³ - (x - 1)]dx + 2π
B
*²x[(x-1)-(x-1) ³]dx
0
1
1
2
2π
x ["'x[(x− 1) - (x− 1) ³]dx + 2x [*³x[(x− 1) ³ – (x− 1) ]dx
0
1
₂1
2
℗ ₁²[(x - 1)² - (x - 1)³]dx + ²[(x − 1)² - (x − 1)º]dx
π
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