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Q. 35

Found in: Page 511


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Consider the region between the graph of f(x)=x-2 and the x-axis on [2,5]. For each line of rotation given in Exercises 35– 40, use definite integrals to find the volume of the resulting solid.

The required volume is 36π

See the step by step solution

Step by Step Solution

Step 1. Given Information     

The given figure is

Step 2. Calculation      

Express the curve as inverse function.


For the x-interval of [2,5], the corresponding interval of y-variable will be [0,3]

For the washer the external radius of each washer is x=5 and internal radius of each wahser is given by g(y)

Step 3. Calculation

Determine the volume of solid of revolution.


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