Find the volume generated by revolving about y = 2, the area bounded by y² = x-1 and y = -x +3. Express the volume in integral form. 1 (A) V= -2 2² S = (y² + y² - 4y - 4) dy -2 5 (в V = 2n S³(2-y) (2-y - y²) dy 1 5 V = 2x S (2-x) (2-x-x²) dx 1 (D V = 2n + f(y² - y² - 4y +4) dy (E none of the choices

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Find the volume generated by revolving about y = 2, the area bounded by y² = x-1 and y = −x+3.
Express the volume in integral form.
1
A V= - 2π
(y² + y² - 4y - 4) dy
5
(в)
B V = 2x
S³(2-y) (2-y - y²) dy
1
V = 2n
S² (2-x) (2 - x - x²) dx
1
ⒸV= 2m (3²³-y² - 4y + 4) dy
(E) none of the choices
Transcribed Image Text:Find the volume generated by revolving about y = 2, the area bounded by y² = x-1 and y = −x+3. Express the volume in integral form. 1 A V= - 2π (y² + y² - 4y - 4) dy 5 (в) B V = 2x S³(2-y) (2-y - y²) dy 1 V = 2n S² (2-x) (2 - x - x²) dx 1 ⒸV= 2m (3²³-y² - 4y + 4) dy (E) none of the choices
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