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Chapter 6: Q. 54 (page 512)

Consider the region between the graphs of $f (x) = {(x - 2)}^{2}$ and $g (x) = x$ on $[1, 4]$ . For each line of rotation given in Exercises 51鈥�54, use definite integrals to find the volume of the resulting solid.

Short Answer

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The volume of the solid is

Step by step solution

Step 1. Given Information

The given figure is

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Consider the region between the graphs of fx=x-22and gx=xon 1,4. For each line of rotation given in Exercises 51鈥�54, use definite integrals to find the volume of the resulting solid.

Short Answer

Step by step solution

Step 1. Given Information

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Consider the region between the graphs of $f (x) = {(x - 2)}^{2}$ and $g (x) = x$ on $[1, 4]$ . For each line of rotation given in Exercises 51鈥�54, use definite integrals to find the volume of the resulting solid.