y y = 1 (1, 1) A X=1 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 = y²and y = x². Region C is bounded by the parabola y = x², the line x = 1, and the x-axis. x=y² B
y y = 1 (1, 1) A X=1 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 = y²and y = x². Region C is bounded by the parabola y = x², the line x = 1, and the x-axis. x=y² B
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 27E
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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.
Transcribed Image Text:What is the x-coordinate
A. x = 0.45
of the centroid of region B?
B. x = 0.35
The moment of region C with respect to the x-axis is
A. Mx = √²x² dx B. Mx = 11 dy
C. x = 0.40
C. Mx = √1¹dx
2
D. x = 0.55
D.M₂ =¹²¹dy
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