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A trapezoidal tank with dimensions in meters as shown in the graph below is filled with water up to a level of 3 meters. Choose the integral that calculates the work (in J) done to empty the tank by pumping all the water to the top of the tank. Here, p = 1,000 is the density of water and g is the gravitational acceleration constant. T2,4) Water Level (0,3) 9 m (1, 0) W = egm(+1) (4 – y) dy %3D Ow = eg ( +1) 9 (3 – y) dy %3D O w = f eg ( +2) 9 (4 – y) dy Ow = e9 ( +1) 9 (4 – y) dy O w = = S egm;+1)* (3 – y) dy Ow = eg ( +2) 9 (3 – y) dy Ow = pgr( + 2)* (4 – y) dy

A trapezoidal tank with dimensions in meters as shown in the graph below is filled with water up to a level of 3 meters. Choose the integral that calculates the work (in J) done to empty the tank by pumping all the water to the top of the tank. Here, p = 1,000 is the density of water and g is the gravitational acceleration constant. T2,4) Water Level (0,3) 9 m (1, 0) W = egm(+1) (4 – y) dy %3D Ow = eg ( +1) 9 (3 – y) dy %3D O w = f eg ( +2) 9 (4 – y) dy Ow = e9 ( +1) 9 (4 – y) dy O w = = S egm;+1)* (3 – y) dy Ow = eg ( +2) 9 (3 – y) dy Ow = pgr( + 2)* (4 – y) dy

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A trapezoidal tank with dimensions in meters as shown in the graph below is filled with water up to a level of 3 meters. Choose the integral that calculates the work (in J) done to empty the tank by pumping all the water to the top of the tank. Here, p = 1,000 is the density of water and g is the gravitational acceleration constant. T2,4) Water Level (0,3) 9 m (1, 0) W = egm(+1) (4 – y) dy %3D Ow = eg ( +1) 9 (3 – y) dy %3D O w = f eg ( +2) 9 (4 – y) dy Ow = e9 ( +1) 9 (4 – y) dy O w = = S egm;+1)* (3 – y) dy Ow = eg ( +2) 9 (3 – y) dy Ow = pgr( + 2)* (4 – y) dy
Transcribed Image Text:A trapezoidal tank with dimensions in meters as shown in the graph below is filled with water up to a level of 3 meters. Choose the integral that calculates the work (in J) done to empty the tank by pumping all the water to the top of the tank. Here, p = 1,000 is the density of water and g is the gravitational acceleration constant. T2,4) Water Level (0,3) 9 m (1, 0) W = egm(+1) (4 – y) dy %3D Ow = eg ( +1) 9 (3 – y) dy %3D O w = f eg ( +2) 9 (4 – y) dy Ow = e9 ( +1) 9 (4 – y) dy O w = = S egm;+1)* (3 – y) dy Ow = eg ( +2) 9 (3 – y) dy Ow = pgr( + 2)* (4 – y) dy
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