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Solution: Equations of circles Use the results of Exercise

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

Solution for problem 72E Chapter 10.2

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 72E

Equations of circles Use the results of Exercise to describe and graph the following circles.

r2 + 2r(cos θ − 3 sin θ) = 4

Step-by-Step Solution:

Solution 72E

Step 1:

In this problem;

We have to describe and graph of the  circle

We know that the polar equation represents  a circle of radius ‘R’ centered at ( a, b).

Consider ,

                       

                     

By , using the above result  represents a circle.

So , here  a =  -1, b = 3 , and  = 4

                                             = 4

                                            = 4

                                            = 4

                                      + 4 = 14

                                      .

Therefore ,  

  represents a circle of radius ‘’ centered at ( -1, 3).

Step 2:

In another way ; Consider ,

We know that ,the relation between cartesian (x, y) and polar coordinates ( r , is ;

         x = r cos(, y = r sin(

         

Therefore , .

By using this results , we get ;

       

        

        +2x -6y = 4

      +2(x) +

      = 4+

     represents a circle with center (-1 ,3) , and radius ‘’.

Note ; represents a circle with center ( a, b) , and radius ‘r’.

Step 3 of 3

Chapter 10.2, Problem 72E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Equations of circles Use the results of Exercise to describe and graph the following circles.r2 + 2r(cos ? ? 3 sin ?) = 4” is broken down into a number of easy to follow steps, and 24 words. This full solution covers the following key subjects: Circles, exercise, describe, equations, cos. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 72E from chapter: 10.2 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 72E from 10.2 chapter was answered, more than 255 students have viewed the full step-by-step answer.

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