Explanation Observation of the regions A ' B ' ¯ and A ' C ' ¯ clearly describes the resulting shapes when rotated about the y -axis Given: Let W be the volume of the solid obtained by rotating the region under the graph in Figure 11(B) about the y -axis. Calculation: When the regions A ' B ' ¯ To determine (b) To setup an integral that computes the volume by the Shell Method. To determine (c) To explain the difficulty in calculating the volume by the Washer Method.

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 6.4, Problem 32E

To determine

(a)

To describe the figures generated by rotating the segments $\bar{A' B'}$ and $\bar{A' C'}$ about the $y$ -axis.

To determine

(b)

To setup an integral that computes the volume by the Shell Method.

To determine

(c)

To explain the difficulty in calculating the volume by the Washer Method.

Expert Solution & Answer

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Chapter 6.4, Problem 31E

Chapter 6.4, Problem 33E

Chapter 6 Solutions

Calculus - Standalone book

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Prob. 47E Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - 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Prob. 44CRE Ch. 6 - Prob. 45CRE Ch. 6 - Prob. 46CRE Ch. 6 - Prob. 47CRE Ch. 6 - Prob. 48CRE Ch. 6 - Prob. 49CRE Ch. 6 - Prob. 50CRE Ch. 6 - Prob. 51CRE Ch. 6 - Prob. 52CRE Ch. 6 - Prob. 53CRE Ch. 6 - Prob. 54CRE

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(a) To describe the figures generated by rotating the segments A ' B ' ¯ and A ' C ' ¯ about the y -axis.

Solution Summary: The integral that describes the volume by the Shell Method is given by W = 2 0 x g.

Concept explainers

Videos

(a)

To describe the figures generated by rotating the segments $\bar{A' B'}$ and $\bar{A' C'}$ about the $y$ -axis.

(b)

To setup an integral that computes the volume by the Shell Method.

(c)

To explain the difficulty in calculating the volume by the Washer Method.

Want to see the full answer?

Chapter 6 Solutions

(a) To describe the figures generated by rotating the segments A ' B ' ¯ and A ' C ' ¯ about the y -axis.

Solution Summary: The integral that describes the volume by the Shell Method is given by W = 2 0 x g.

Concept explainers

Videos

(a) To describe the figures generated by rotating the segments A'B'¯ and A'C'¯ about the y-axis.

(b) To setup an integral that computes the volume by the Shell Method.

(c) To explain the difficulty in calculating the volume by the Washer Method.

Want to see the full answer?

Chapter 6 Solutions

(a)

To describe the figures generated by rotating the segments $\bar{A' B'}$ and $\bar{A' C'}$ about the $y$ -axis.

(b)

To setup an integral that computes the volume by the Shell Method.

(c)

To explain the difficulty in calculating the volume by the Washer Method.