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Answer: Tracing hyperbolas and parabolas Graph the

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 64E Chapter 10.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 64E

Tracing hyperbolas and parabolas Graph the following equations. Then use arrows and labeled points to indicate how the curve is generated as θ increases from 0 to 2π.

Step-by-Step Solution:

Solution 64E

Step 1:

In this problem we have to draw the graph of r =  and then use arrows and labeled points to indicate how the curve is generated as increases from 0 to 2.

We know that the polar equation of a hyperbola  having center at a focus is ; r =

The graph of  r =  is shown below ;

                   

 r =

                   

 r = = -1

0

 r = = 1

 r = =

 r = = 1

 r = =

2

As increases from 0 to 2 , the curve generated as a circle.

Step 2 of 2

Chapter 10.4, Problem 64E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Answer: Tracing hyperbolas and parabolas Graph the

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