Explanation Formula used: The volume of the solid formed by rotating R about the x axis is ∫ a b π f ( x ) 2 d x , where R is the region between f ( x ) and x -axis from x = a to x = b . Calculation: Calculate the volume of the solid when the region R is rotating about the- x axis. Here, R is the region between f ( x ) = 2 e x and x axis where x varies from − 2 to 1. Substitute the respective values in ∫ a b π f ( x ) 2 d x and evaluate. V = ∫ − 2 1 π ( 2 e x ) 2 d x = π ∫ − 2

Finite Mathematics and Calculus with Applications

1st Edition

ISBN: 9781323188361

Author: Margaret Lial

Publisher: Pearson Education

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Chapter 16.2, Problem 12E

To determine

To find: The volume of the solid of revolution formed when its rotating about the x axis where the region bounded by the curves f(x)=2ex , y=0 , x=−2 and x=1 .

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Chapter 16.2, Problem 11E

Chapter 16.2, Problem 13E

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Chapter 16 Solutions

Finite Mathematics and Calculus with Applications

Ch. 16.1 - Find xe2xdx.Ch. 16.1 - Find ln2xdx.Ch. 16.1 - Prob. 3YT Ch. 16.1 - Find 1ex2lnxdx.Ch. 16.1 - Prob. 5YT Ch. 16.1 - Prob. 1WE Ch. 16.1 - Find the following. W2.(3x52x3)dx Ch. 16.1 - Find the following. W3.(x23+1x)dx Ch. 16.1 - Prob. 4WE Ch. 16.1 - Use integration by parts to find the integrals in...

Ch. 16.1 - Prob. 6WE Ch. 16.1 - Use integration by parts to find the integrals in...Ch. 16.1 - Use integration by parts to find the integrals in...Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E Ch. 16.1 - Prob. 5E Ch. 16.1 - Use integration by parts to find the integrals in...Ch. 16.1 - Prob. 7E Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E Ch. 16.1 - Prob. 10E Ch. 16.1 - Prob. 11E Ch. 16.1 - Prob. 12E Ch. 16.1 - Prob. 13E Ch. 16.1 - Prob. 14E Ch. 16.1 - Prob. 15E Ch. 16.1 - Prob. 16E Ch. 16.1 - Prob. 17E Ch. 16.1 - Prob. 18E Ch. 16.1 - Prob. 19E Ch. 16.1 - Exercises 1322 are mixedsome require integration...Ch. 16.1 - Prob. 21E Ch. 16.1 - Prob. 22E Ch. 16.1 - Prob. 23E Ch. 16.1 - Prob. 24E Ch. 16.1 - Prob. 25E Ch. 16.1 - Prob. 26E Ch. 16.1 - Prob. 27E Ch. 16.1 - Prob. 28E Ch. 16.1 - What rule of differentiation is related to...Ch. 16.1 - Prob. 30E Ch. 16.1 - Suppose that u and v are differentiable functions...Ch. 16.1 - Prob. 32E Ch. 16.1 - Prob. 33E Ch. 16.1 - Prob. 34E Ch. 16.1 - Prob. 35E Ch. 16.1 - 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The volume of the solid of revolution formed when its rotating about the x axis where the region bounded by the curves f ( x ) = 2 e x , y = 0 , x = − 2 and x = 1 .

Solution Summary: The author explains how to calculate the volume of the solid of revolution when the region R is rotating about the x axis.

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To find: The volume of the solid of revolution formed when its rotating about the x axis where the region bounded by the curves f(x)=2ex , y=0 , x=−2 and x=1 .

Want to see the full answer?

Chapter 16 Solutions