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.

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 6.4, Problem 34E

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.

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Chapter 6.4, Problem 33E

Chapter 6.4, Problem 35E

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Chapter 6 Solutions

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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.