Explanation Given information : f ( x ) = e x , [ 0 , 3 ] . 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 ) = e x (Given). So, the derivative is f ' ( x ) = e x . Then, 1 + ( f ' ( x ) ) 2 = 1 + ( e x

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Question

Chapter 9.2, Problem 57E

To determine

The surface area of revolution of the curve f(x)=ex over the interval [0,3] .

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Chapter 9.2, Problem 56E

Chapter 9.2, Problem 58E

Chapter 9 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY

The surface area of revolution of the curve f ( x ) = e x over the interval [ 0 , 3 ] .

Solution Summary: The author explains that the surface area of revolution of the curve is 261.1264 approximately.

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The surface area of revolution of the curve f(x)=ex over the interval [0,3] .

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Chapter 9 Solutions