Explanation Given information : f ( x ) = x , [ 0 , 4 ] . Formula used: The surface area of revolution is given by S u r f a c e a r e a = 2 π ∫ a b x 1 + ( f ' ( x ) ) 2 d x Calculation: f ( x ) = x (Given) So, f ' ( x ) = 1 2 x − 1 2 = 1 2 x Then, 1 + ( f ' ( x ) ) 2 = 1 + ( 1 2 x ) 2 = 1 + 1 4 x

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ISBN: 9781319050733

Author: Rogawski

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Chapter 9.2, Problem 56E

To determine

The surface area of revolution of the curve f(x)=x over the interval [0,4] .

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Chapter 9.2, Problem 55E

Chapter 9.2, Problem 57E

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The surface area of revolution of the curve f ( x ) = x over the interval [ 0 , 4 ] .

Solution Summary: The surface area of revolution of the curve is 53.226 approximately.

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The surface area of revolution of the curve f(x)=x over the interval [0,4] .

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Chapter 9 Solutions