Explanation Given information: The function f ( x ) have a revolution about the x-axis for the given function and interval: f ( x ) = 3 cos x [ 0 , π 4 ] Concept used: If f is continuous and f ( x ) ≥ 0 on [ a , b ] , then the solid obtained by rotating the region under the graph about the x-axis has the volume: V = π ∫ a b R 2 d x = π ∫ a b f ( x ) 2 d x Integration of ∫ a b cos x d x = sin x Calculation: Put the value of f ( x ) in given formula and solve the function: V = π ∫ a b f ( x ) 2 d x V = π

Loose-leaf Version For Calculus: Early Transcendentals

4th Edition

ISBN: 9781319055912

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 6.3, Problem 13E

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Calculate the volume of revolution about x-axis for the function and interval.

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Chapter 6.3, Problem 12E

Chapter 6.3, Problem 14E

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Chapter 6 Solutions

Loose-leaf Version For 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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Calculate the volume of revolution about x-axis for the function and interval.

Solution Summary: The author calculates the volume of revolution about x-axis for the function f(x)approx 6.65.

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Calculate the volume of revolution about x-axis for the function and interval.

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Chapter 6 Solutions