Set up the definite integral for the volume of the solid generated when region C is revolved about the y-axis. A. V = π √ ² (1 – 2y + y) dy T C. V = 2π f(x¹ - x)dx B.V = (1 - y²) dy D. V = 2n₁x³dx Find the moment of region B with respect to the x-axis. 3 9 9 A. Mx = -³/ B. Mx = 3 20 C. Mx = 10 10 20 D. Mx =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Question
y
y = 1
x=y²
B
(1, 1)
X = 1
A
y = x²
с
X
(0,0)
Region A is bounded by the parabola x = y², the line y = 1, and the y-axis.
Region B is bounded by the parabolas x = y² and y = x².
Region C is bounded by the parabola y = x², the line x = 1, and the x-axis.
Transcribed Image Text:y y = 1 x=y² B (1, 1) X = 1 A y = x² с X (0,0) Region A is bounded by the parabola x = y², the line y = 1, and the y-axis. Region B is bounded by the parabolas x = y² and y = x². Region C is bounded by the parabola y = x², the line x = 1, and the x-axis.
Set up the definite integral for the volume of the solid generated when region C is revolved about
the y-axis.
A.V = n(1-2y + y) dy
C. V = 2π f(x²-x)dx
D.V = 2n¹x³dx
B.V = π (1 - y²) dy
10
Find the moment of region B with respect to the x-axis.
3
D. Mx = 10
A. Mx =
B. Mx
C. Mx =
=
10
20
10
Transcribed Image Text:Set up the definite integral for the volume of the solid generated when region C is revolved about the y-axis. A.V = n(1-2y + y) dy C. V = 2π f(x²-x)dx D.V = 2n¹x³dx B.V = π (1 - y²) dy 10 Find the moment of region B with respect to the x-axis. 3 D. Mx = 10 A. Mx = B. Mx C. Mx = = 10 20 10
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