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? · [(x − 1)² – (x - 1)³²]dx - π ²[(x − 1)²-(x - 1)]dx B π ſª [(x − 1)² − (x − 1)º]dx + π £[ ª[(x − 1)² – (x − 1)º]dx © 2x * x[(x-1) - (x-1)³¹]dx + 2x [*³x[(x− 1)³= (x− 1)]dx (C) x[(x-1)-(x-1) 0 1 ℗ 2x / x[(x-1) ³3- (x-1)]dx + 2x^²x[(x− 1) - (x-1) ³]dx D A

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 - T
TU
π *ª[(x − 1) - (x − 1)²]dx - √ ²[(x - 1)²-(x - 1)]dx
℗ ² - - T
πS [(x − 1)² − (x − 1)º]dx + ₁ √ [(x - 1)²-(x - 1)]dx
B T
© 2x ["'x[(x− 1) - (x− 1) ²]dx + 2x^²x[(x− 1) ³− (x− 1) ]dx
C)
1
© 2x ſ'x[(x− 1)³= (x− 1) ]dx+ 2x * x[(x− 1) = (x− 1)²]dx
D
-
0
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 - T TU π *ª[(x − 1) - (x − 1)²]dx - √ ²[(x - 1)²-(x - 1)]dx ℗ ² - - T πS [(x − 1)² − (x − 1)º]dx + ₁ √ [(x - 1)²-(x - 1)]dx B T © 2x ["'x[(x− 1) - (x− 1) ²]dx + 2x^²x[(x− 1) ³− (x− 1) ]dx C) 1 © 2x ſ'x[(x− 1)³= (x− 1) ]dx+ 2x * x[(x− 1) = (x− 1)²]dx D - 0
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