Refer to the figure on the right and find the volume generated by rotating the given region about the specified line. y A C(0, 1) В1, 1) y= Vx 1) about x = 0 R2 2) R. about x = 1 R3 y=x³ 3) about y = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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I am wanting to check myself. I get 1.257 for number 1

Refer to the figure on the right and find the
volume generated by rotating the given region
about the specified line.
yA
B(1, 1)
C(0, 1)
y = Vx
1) R1
about x = 0
R2
2) R1
about x = 1
R3
y= x³
3) R2
about y = 0
A(1, 0)
4)
about x = 0
R3
5) R3
about y = 1
Transcribed Image Text:Refer to the figure on the right and find the volume generated by rotating the given region about the specified line. yA B(1, 1) C(0, 1) y = Vx 1) R1 about x = 0 R2 2) R1 about x = 1 R3 y= x³ 3) R2 about y = 0 A(1, 0) 4) about x = 0 R3 5) R3 about y = 1
Expert Solution
Step 1

Given:

Calculus homework question answer, step 1, image 1

Formula used:

V=abπfy2-gy2dy.

 

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