-0.5 1 0.5 -0. A R₂ y = 1 x = y³ y =√x 0.5 R3 B x = 1 H X R₁ is the region bounded by the curves x = y³ and y = √x R₂ is the region bounded by the curves x = y³, y = 1 and the y-axis R3 is the region bounded by the curves y = √√x, x = 1 and the x-axis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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y-coordinate
of the centroid of R₂
B. y = 0.70
A. y = 0.80
x-coordinate
of the centroid of R3
A. x = 0.65
B. x = 0.60
length of arc of the curve x = y³ from pt A to pt B
A 1.48 units
B. 1.55 units
C. y = 0.85
C. x = 0.55
C. 1.62 units
D. y = 0.65
D. x = 0.45
D. 1.74 units
Transcribed Image Text:y-coordinate of the centroid of R₂ B. y = 0.70 A. y = 0.80 x-coordinate of the centroid of R3 A. x = 0.65 B. x = 0.60 length of arc of the curve x = y³ from pt A to pt B A 1.48 units B. 1.55 units C. y = 0.85 C. x = 0.55 C. 1.62 units D. y = 0.65 D. x = 0.45 D. 1.74 units
1.5
1
y
R₂
R
y = 1
0
x = y³
0.5
y = √x
x = 1
0
X
-0.5
A
0.5
1
R₁ is the region bounded by the curves x = y³ and y = √x
R₂ is the region bounded by the curves x = y³, y = 1 and the y-axis
R3 is the region bounded by the curves y = √√x, x = 1 and the x-axis
B
R3
Transcribed Image Text:1.5 1 y R₂ R y = 1 0 x = y³ 0.5 y = √x x = 1 0 X -0.5 A 0.5 1 R₁ is the region bounded by the curves x = y³ and y = √x R₂ is the region bounded by the curves x = y³, y = 1 and the y-axis R3 is the region bounded by the curves y = √√x, x = 1 and the x-axis B R3
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