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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 10.4 - Problem 47e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 10.4 - Problem 47e

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# Answer: Equations of hyperbolas Find an equation of the

ISBN: 9780321570567 2

## Solution for problem 47E Chapter 10.4

Calculus: Early Transcendentals | 1st Edition

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Problem 47E

Equations of hyperbolas Find an equation of the following hyperbolas, assuming the center is at the origin. Sketch a graph labeling the vertices, foci, and asymptotes. Use a graphing utility to check your work.A hyperbola with vertices (±2, 0) and asymptotes y = ±3x/2

Step-by-Step Solution:

Solution 47EStep 1:In this problem we need to find an equation of the hyperbolas, assuming the center is at the origin.Given A hyperbola with vertices (±2, 0) and asymptotes y = ±3x/2The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the x-axis iswhere* the length of the transverse axis is 2a* the coordinates of the vertices are (±a,0) * the length of the conjugate axis is 2b * the coordinates of the co-vertices are (0,±b)* the distance between the foci is 2c, where * the coordinates of the foci are (±c,0)* the equations of the asymptotes are

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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: asymptotes, vertices, Hyperbolas, graphing, equation. This expansive textbook survival guide covers 112 chapters, and 5248 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 47E from 10.4 chapter was answered, more than 336 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 47E from chapter: 10.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Equations of hyperbolas Find an equation of the following hyperbolas, assuming the center is at the origin. Sketch a graph labeling the vertices, foci, and asymptotes. Use a graphing utility to check your work.A hyperbola with vertices (±2, 0) and asymptotes y = ±3x/2” is broken down into a number of easy to follow steps, and 44 words.

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