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Chapter 6: Q. 48 (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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Most popular questions from this chapter

For each pair of definite integrals in exercise 13-18 decide which if either is larger without computing the integrals

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Use antidifferentiation and/or separation of variables to solve the given differential equations. Your answers will involve unsolved constants.

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Consider the region between $f (x) = \sqrt{x}$ and the x-axis on $[0, 4]$ . For each line of rotation given in Exercises 27–30, use four disks or washers based on the given rectangles to approximate the volume of the resulting solid.

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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

Probability and Statistics

Mechanics Maths

Applied Mathematics

Calculus

Discrete Mathematics

Geometry

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.