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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.

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The volume of the solid is

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The given figure is

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Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29–52

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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.

Short Answer

Step by step solution

Step 1. Given Information

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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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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Geometry

Decision Maths

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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.