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A water tank is obtained by rotating around the z-axis the curve z = e - 1 where z € [0, 2| | the figure below) The tank is filled with a height of 2 feet of water (the height is measured on the z-axis). We assume the weight density of water is p = 1 Newton per cubic feet. Calculate the work needed to pump out the water from the tank.

A water tank is obtained by rotating around the z-axis the curve z = e - 1 where z € [0, 2| | the figure below) The tank is filled with a height of 2 feet of water (the height is measured on the z-axis). We assume the weight density of water is p = 1 Newton per cubic feet. Calculate the work needed to pump out the water from the tank.

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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water tank is obtained by rotating around the z-axis the curve z = e -1 where z E (0, 2| (se« the figure below) The tank is filled with a height of 2 feet of water (the height is measured on the z-axis). We assume the weight density of water is p = 1 Newton per cubic feet. Calculate the work needed to pump out the water from the tank. • (e* - 1- 2)r ln(z + 1)dz • L e- 2)Ħ In(z + 1)dz •[ (e^ - 1 – 2)mln°(z + 1)dz
Transcribed Image Text:water tank is obtained by rotating around the z-axis the curve z = e -1 where z E (0, 2| (se« the figure below) The tank is filled with a height of 2 feet of water (the height is measured on the z-axis). We assume the weight density of water is p = 1 Newton per cubic feet. Calculate the work needed to pump out the water from the tank. • (e* - 1- 2)r ln(z + 1)dz • L e- 2)Ħ In(z + 1)dz •[ (e^ - 1 – 2)mln°(z + 1)dz
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