Solution: Graphing hyperbolas Sketch the graph of the

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

ISBN: 9780321570567 2

Solution for problem 39E Chapter 10.4

Calculus: Early Transcendentals | 1st Edition

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Problem 39E

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.

Step-by-Step Solution:

Solution 39E

Step 1:

Given that

Step2:

To find

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.

Step 3:

The graph of the following hyperbolas

Step 4:

$\frac{{x}_{\ }^{2}}{4}-\frac{{y}_{\ }^{2}}{1}=1$

a=2, b=1

${c}_{\ }^{2}={a}_{\ }^{2}+{b}_{\ }^{2}$

${c}_{\ }^{2}=5$

c= $\pm{}\sqrt{5}$

vertices= $(\pm{}a,0)=(\pm{}2,0)$

Foci= $\$ $(\pm{}c,0)$ =( $\pm{}\sqrt{5},0)$

Asymptotes are

y= $\pm{}\frac{bx}{a}=$ $\pm{}\frac{x}{2}$

Step 2 of 4

Chapter 10.4, Problem 39E is Solved

Step 3 of 4

Textbook: Calculus: Early Transcendentals

Edition: 1

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

ISBN: 9780321570567

The full step-by-step solution to problem: 39E from chapter: 10.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. 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.” is broken down into a number of easy to follow steps, and 32 words. Since the solution to 39E from 10.4 chapter was answered, more than 312 students have viewed the full step-by-step answer. This full solution covers the following key subjects: graphing, Hyperbolas, asymptotes, equations, Find. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.