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? A π ¹ ſª[(x − 1)ª − (× − 1)²]d× – π ƒ, ª[(x − 1)² – (x − 1)º]dx (B 2xSx[(x-1) - (x-1) ³]dx + 2x^x[(x-1)³=(x-1)]dx 0 Ⓒ = √ [(x - 1)² = ( ›²— (x− 1) º]dx + x √ [(x− 1)²- (x− 1) *]dx (D) 2x x[(x-1) ³3- (x-1)]dx + 2x -(x-1)]dx + 2x²x[(x-1)-(x-1) ³ 1)³]dx
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? A π ¹ ſª[(x − 1)ª − (× − 1)²]d× – π ƒ, ª[(x − 1)² – (x − 1)º]dx (B 2xSx[(x-1) - (x-1) ³]dx + 2x^x[(x-1)³=(x-1)]dx 0 Ⓒ = √ [(x - 1)² = ( ›²— (x− 1) º]dx + x √ [(x− 1)²- (x− 1) *]dx (D) 2x x[(x-1) ³3- (x-1)]dx + 2x -(x-1)]dx + 2x²x[(x-1)-(x-1) ³ 1)³]dx
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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37. Solve
![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?
A - - - -
¹ ſª[(x −
А π
1)6 – (x − 1)²]d× –
11 ſ, ª[(x − 1)² – (x − 1)º]dx
(B
2x 'x[(x-1) - (x-1) ³]dx + 2x [*²x[(x-1) ³ - (x-1)]dx
0
Ⓒ = √ [(x - 1) ² - (
›²— (x− 1) ªJdx + x ſª[(x− 1)² – (x− 1) º]dx
2
℗ 2x / x[(x-1) ³- (x - 1)]dx + 2x
− (x− 1) ]dx + 2x [*²x[(x− 1) - (x− 1) ³]dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faaedee4f-c132-41b3-9926-d2d65cb8a374%2F70e48fa7-2c21-4228-a65c-987d5c0400f1%2Fiq12516_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?
A - - - -
¹ ſª[(x −
А π
1)6 – (x − 1)²]d× –
11 ſ, ª[(x − 1)² – (x − 1)º]dx
(B
2x 'x[(x-1) - (x-1) ³]dx + 2x [*²x[(x-1) ³ - (x-1)]dx
0
Ⓒ = √ [(x - 1) ² - (
›²— (x− 1) ªJdx + x ſª[(x− 1)² – (x− 1) º]dx
2
℗ 2x / x[(x-1) ³- (x - 1)]dx + 2x
− (x− 1) ]dx + 2x [*²x[(x− 1) - (x− 1) ³]dx
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