Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 9.6, Problem 1P

In Problems 1 and 2, given the length l of a curve joining two given points, find the equation of the curve so that:

The surface of revolution formed by rotating the curve about the x axis has minimum area.

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Chapter 9.5, Problem 25P

Chapter 9.6, Problem 2P

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8. Find the equation of the surface of revolution if the generating curve, 2x – 4y = 6 is revolved about the y-axis.

9. A horizontal cylindrical tank 4 ft in diameter and 10 ft . long is full of water. Find the work done in pumping the water to a point 4 ft above the top of the tank. 10. A certain tank of depth 10 ft is a surface of revolution formed by rotating y x² about its axis. If the tank is full of water, find the work done in pumping the water = to the top of the tank until the depth of the remaining water is 6 ft. 11. A tank full of water is 12 ft long, 4 ft wide and 6 ft deep. Find how much the surface of the water is lowered when one-third of the necessary work has been done to pump the water to the top of the tank. Activate Windows Go to Settings to activate Windows.

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Chapter 9 Solutions

Mathematical Methods in the Physical Sciences

Ch. 9.1 - The speed of light in a medium of index of...Ch. 9.1 - The speed of light in a medium of index of...Ch. 9.1 - The speed of light in a medium of index of...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...

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