The ends of a "parabolic" water tank are the shape of the region inside the graph of y = x2 for 0 sy s 9; the cross sections parallel to the top of the tank (and the ground) are rectangles. At its center the tank is 9 feet deep and 6 feet across. The tank is 5 feet long. Rain has filled the tank and water is removed by pumping it up to a spout that is 2 feet above the top of the tank. Set up a definite integral to find the work W that is done to lower the water to a depth of 8 feet and then find the work. [Hint: You will need to integrate with respect to y.] 9 |(62.5)(6vy )(5)(11-y))dy W = (foot-pounds) symbolic formatting help Viewing Saved Work Revert to Last Response Oulumit A
The ends of a "parabolic" water tank are the shape of the region inside the graph of y = x2 for 0 sy s 9; the cross sections parallel to the top of the tank (and the ground) are rectangles. At its center the tank is 9 feet deep and 6 feet across. The tank is 5 feet long. Rain has filled the tank and water is removed by pumping it up to a spout that is 2 feet above the top of the tank. Set up a definite integral to find the work W that is done to lower the water to a depth of 8 feet and then find the work. [Hint: You will need to integrate with respect to y.] 9 |(62.5)(6vy )(5)(11-y))dy W = (foot-pounds) symbolic formatting help Viewing Saved Work Revert to Last Response Oulumit A
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 ends of a "parabolic" water tank are the shape of the region inside the graph of y = x? for 0 < y s 9; the cross sections parallel to the top of the tank (and the
ground) are rectangles. At its center the tank is 9 feet deep and 6 feet across. The tank is 5 feet long. Rain has filled the tank and water is removed by pumping it up
%3D
to a spout that is 2 feet above the top of the tank. Set up a definite integral to find the work W that is done to lower the water to a depth of 8 feet and then find the
work. [Hint: You will need to integrate with respect to y.]
9.
((62.5) (6vy)(5)(11– ))dy
W =
(foot-pounds)
symbolic formatting help
Viewing Saved Work Revert to Last Response
Submit Answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ce3c102-932f-46ac-8a3f-a8eb61b551e7%2F82796cd1-9065-45f6-92d3-867cbf576a8e%2Ffryx87_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The ends of a "parabolic" water tank are the shape of the region inside the graph of y = x? for 0 < y s 9; the cross sections parallel to the top of the tank (and the
ground) are rectangles. At its center the tank is 9 feet deep and 6 feet across. The tank is 5 feet long. Rain has filled the tank and water is removed by pumping it up
%3D
to a spout that is 2 feet above the top of the tank. Set up a definite integral to find the work W that is done to lower the water to a depth of 8 feet and then find the
work. [Hint: You will need to integrate with respect to y.]
9.
((62.5) (6vy)(5)(11– ))dy
W =
(foot-pounds)
symbolic formatting help
Viewing Saved Work Revert to Last Response
Submit Answer
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