Explanation The sketch of the solid obtained by rotation is determined and then we use the Shell Method to obtain its volume after calculating its height and radius. Given: f ( x ) = x − 1 over the interval [ 1 , 3 ] . Calculation: The sketch of the solid obtained is shown below:

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.4, Problem 3E

To determine

To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the $y$ -axis and also find its volume.

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Chapter 6.4, Problem 2E

Chapter 6.4, Problem 4E

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2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.006.MI. Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 7y2 y² 11 dy Need Help? Read It Master It SUBMIT ANSWER 3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.009. Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) tan³(12/z) dz Need Help? Read It Watch It SUBMIT ANSWER 4. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.014. Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 5 sinб12x dx Need Help? Read It

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y"-9y+20y= 80t-156 y(0) = −6, y'(0) = 5 y(t) =

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

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To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the y -axis and also find its volume.

Solution Summary: The author explains how the sketch of the solid obtained by rotation is determined and then uses the Shell Method to obtain its volume after calculating its height and radius.

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To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the $y$ -axis and also find its volume.

Want to see the full answer?

Chapter 6 Solutions

To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the y -axis and also find its volume.

Solution Summary: The author explains how the sketch of the solid obtained by rotation is determined and then uses the Shell Method to obtain its volume after calculating its height and radius.

Concept explainers

Videos

To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the y-axis and also find its volume.

Want to see the full answer?

Chapter 6 Solutions

To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the $y$ -axis and also find its volume.