For items 13, 14, and 15, consider the region R bounded by y = Arctan x, r = 1, and the x-axis. Suppose that R has its centroid at (7, 7). 15. Consider the solid formed when R is revolved about the z-axis. Its centroid is located at the point (7,0,0). Which of the following gives the correct value for x? for(Arctan x) dx I. II. S/(1+tan y) (1 - tan y) dy 2 /(1-tan y) dy (Arctan x) dx A. I only C. Both I and II B. II only D. None of them Ο Α OB OC D O

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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For items 13, 14, and 15, consider the region R bounded by y = Arctan x, x = 1, and the x-axis. Suppose
that R has its centroid at (x, y).
15. Consider the solid formed when R is revolved about the z-axis. Its centroid is located at the point (7,0,0).
Which of the following gives the correct value for x?
I.
for(Arctan x) dx
(Arctan x) dx
II.
S/(1+tan y) (1 - tan y) dy
2 /(1-tan y) dy
A. I only
C. Both I and II
B. II only
D. None of them
ΟΑ
B
O C
D
Transcribed Image Text:For items 13, 14, and 15, consider the region R bounded by y = Arctan x, x = 1, and the x-axis. Suppose that R has its centroid at (x, y). 15. Consider the solid formed when R is revolved about the z-axis. Its centroid is located at the point (7,0,0). Which of the following gives the correct value for x? I. for(Arctan x) dx (Arctan x) dx II. S/(1+tan y) (1 - tan y) dy 2 /(1-tan y) dy A. I only C. Both I and II B. II only D. None of them ΟΑ B O C D
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