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Chapter 6: Q. 49 (page 512)

Consider the region between the graphs of $f (x) = x^{2}$ and $g (x) = 2 x$ on $[0, 2]$ . For each line of rotation given in Exercises 47–50, 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=x2and gx=2xon 0,2. For each line of rotation given in Exercises 47–50, 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 $f (x) = x^{2}$ and $g (x) = 2 x$ on $[0, 2]$ . For each line of rotation given in Exercises 47–50, use definite integrals to find the volume of the resulting solid.