Define as the region bounded by the function f(x): and the line x = 1 in the first quadrant between y = 2 and y = 4. Choose the integral below that describes the volume of the solid created by rotating around the y-axis. 4 Select the correct answer below: 0 [²₁ [ (²√5)² – (1)²] dy 4 0 [² = 1²√5-11³² dy 2 2 0 [² x [(2²√5)² - (1)²] dy 4 0₂²71-2√5]² dy 4 ~0 / ² = [ (1)² - (2√5)²³] dy

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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Define as the region bounded by the function f(x):
and the line x = 1 in the first quadrant between y = 2 and
y = 4. Choose the integral below that describes the volume of the solid created by rotating around the y-axis.
4
Select the correct answer below:
0 [²₁ [ (²√5)² – (1)²] dy
4
0 [²7²√5 - 11² dy
2
2
-O [ ²³ x [(2²√5)² - (1)²] dy
4
0₂²71-2√5]² dy
4
~0 / ² = [ (1)² - (²√5)²³] dy
Transcribed Image Text:Define as the region bounded by the function f(x): and the line x = 1 in the first quadrant between y = 2 and y = 4. Choose the integral below that describes the volume of the solid created by rotating around the y-axis. 4 Select the correct answer below: 0 [²₁ [ (²√5)² – (1)²] dy 4 0 [²7²√5 - 11² dy 2 2 -O [ ²³ x [(2²√5)² - (1)²] dy 4 0₂²71-2√5]² dy 4 ~0 / ² = [ (1)² - (²√5)²³] dy
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