Explanation Given information: Given region is y = ln x , y = 0 , x = e 4 . Formula used: Volume of solid obtained by rotating the region under the curve x = f ( y ) from y = a to y = b about the xaxis is V = ∫ a b 2 π y f ( y ) d y . Calculation: Graph of the region is Given y = ln x ⇒ y 2 = ln x ⇒ x = e y 2 Also, at x = e 4 gives y = ln e 4 ⇒ y = 2

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 6.4, Problem 61E

To determine

Tocalculate:

To find the volume obtained by rotating the region enclosed by the graphs about x axis.

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Chapter 6.4, Problem 60E

Chapter 6.4, Problem 62E

Chapter 6 Solutions

Calculus: Early Transcendentals

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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Tocalculate: To find the volume obtained by rotating the region enclosed by the graphs about x axis.

Solution Summary: The author calculates the volume obtained by rotating the region enclosed by the graphs about x axis.