3. 2- 1- ol 1 4 Let R be the region bounded by the graph of y = Va – 1, the horizontal line y = 2, and the vertical line a = 1, as shown in the figure above. Which of the following gives the volume of the solid generated when the region Ris revolved about the vertical line a = 1? * [ (s² + 1) – 1) dy B dy "[ (6* + 1) – 1)*dy (D +

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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Question
y
3+
2-
R
1+
+
+
2
4
6
1, as shown in the figure above. Which of the following gives the volume of the
Let R be the region bounded by the graph of y
solid generated when the region Ris revolved about the vertical line x =
= Vx – 1, the horizontal line
2, and the vertical line x
1?
(A
*I (1² + 1) – 1) dy
*1 (² +1)² – 1²) dy
B
2
2
I (y? + 1) – 1) dy
-
>
D
7 (y² + 1) + 1)´dy
Transcribed Image Text:y 3+ 2- R 1+ + + 2 4 6 1, as shown in the figure above. Which of the following gives the volume of the Let R be the region bounded by the graph of y solid generated when the region Ris revolved about the vertical line x = = Vx – 1, the horizontal line 2, and the vertical line x 1? (A *I (1² + 1) – 1) dy *1 (² +1)² – 1²) dy B 2 2 I (y? + 1) – 1) dy - > D 7 (y² + 1) + 1)´dy
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