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Graphing hyperbolas Sketch the graph of the | Ch 10.4 - 44E

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

Solution for problem 44E 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 44E

Graphing hyperbolas Sketch the graph of the following hyperbolas. Specify the coordinates of the vertices and foci and find the equations of the asymptotes. Use a graphing utility to check your work.

10x2 − 7y2 = 140

Step-by-Step Solution:

Solution 44E

Step 1:

In this problem we have to draw the graph of  a hyperbola 10, and we have  to label the vertices foci and the equation of asymptotes.

           

Note; We know that a hyperbola  with the center of its origin .For these hyperbolas , the standard form of the equation is - =1 for hyperbolas that extend right and left (or)  

- =1for hyperbolas that extend up and down.

Consider , - =1 . In this case

Center  is  ;(0,0) , vertices are ;( a, 0) ,(-a,0) , and foci is ( ae, 0) (-ae,0).

Equations of the asymptotes are ; y = x , and y = x

 

Step 2 :             

           Given  10

                - =

               - = 1.

By , using the above note .Here a = , b =

Therefore , vertices are ;  ( a , 0) = ( , 0).

Eccentricity  = = =

That  is , e = = 1.55839 > 1.

Therefore , foci is ( ( ae , 0) =  ( (  , 0) = (,0).

Equations of the asymptotes are ; y = x , and y = x.

Therefore , equations of the asymptotes are ; y = x   and   y = -x

  y = x  and  y= - x

Step 3 of 3

Chapter 10.4, Problem 44E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

This full solution covers the following key subjects: graphing, Hyperbolas, asymptotes, equations, Find. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 44E from chapter: 10.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Graphing hyperbolas Sketch the graph of the following hyperbolas. Specify the coordinates of the vertices and foci and find the equations of the asymptotes. Use a graphing utility to check your work.10x2 ? 7y2 = 140” is broken down into a number of easy to follow steps, and 36 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 44E from 10.4 chapter was answered, more than 238 students have viewed the full step-by-step answer.

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