8th Edition

ISBN: 9781305266636

Author: James Stewart

Publisher: Cengage Learning

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Chapter 8.2, Problem 27E

If the region R = { ( x , y ) | x ≥ 1 , 0 ≤ y ≤ 1 / x } is rotated about the x-axis, the volume of the resulting solid is finite (see Exercise 7.8.63). Show that the surface area is infinite. (The surface is shown in the figure and is known as Gabriel’s horn.)

Chapter 8.2, Problem 27E, If the region R=(x,y)x1,0y1/x is rotated about the x-axis, the volume of the resulting solid is

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Chapter 8.2, Problem 24E

Chapter 8.2, Problem 28E

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If the region R = { ( x , y ) | x ≥ 1 , 0 ≤ y ≤ 1 / x } is rotated about the x -axis, the volume of the resulting solid is finite (see Exercise 7.8.63). Show that the surface area is infinite. (The surface is shown in the figure and is known as Gabriel’s horn .)

Solution Summary: The author explains that the surface area obtained by rotating the region about x -axis is infinite. The volume of the resulting solid is finite.

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