67. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2, and y = 0 is revolved about the x-axis. A. (е²-1) 2 TL C. e4 B. ¹(eª-1) 2 D. π(е² - 1)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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the y-axis.
A. T
C. nf(y-y²) dy
A.
(e²-1)
2
C. e4
68.
67.
Find the volume of the solid formed when the graph of the region bounded by y = e*,
x = 0, x = 2, and y = 0 is revolved about the x-axis.
B.
43
D.
A. -4
B.
TL
√ ₁ (x²-x4) dx
7 S² (x₁ - x²) dx
B.
π(eª-1)
2
What is the value of B in the partial fraction decomposition
2x+2
dx
S²²10²424 dx = √6 + 4dr ?
x+6
x+4
D. π(е² - 1)
C. -2
D. O
Transcribed Image Text:the y-axis. A. T C. nf(y-y²) dy A. (e²-1) 2 C. e4 68. 67. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2, and y = 0 is revolved about the x-axis. B. 43 D. A. -4 B. TL √ ₁ (x²-x4) dx 7 S² (x₁ - x²) dx B. π(eª-1) 2 What is the value of B in the partial fraction decomposition 2x+2 dx S²²10²424 dx = √6 + 4dr ? x+6 x+4 D. π(е² - 1) C. -2 D. O
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