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# Shared asymptotes Suppose that two hyperbolas with ISBN: 9780321570567 2

## Solution for problem 89AE Chapter 10.4

Calculus: Early Transcendentals | 1st Edition

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Problem 89AE

Shared asymptotes Suppose that two hyperbolas with eccentricities e and E have perpendicular major axes and share a set of asymptotes. Show that e?2 + E?2 = 1.

Step-by-Step Solution:

Solution 89AEStep 1:We have given two hyperbolas with eccentricities e and E have perpendicular major axes and share a set of asymptotesWe have to show that Step 2:Two hyperbolas have perpendicular major axesSo the product of major axes two hyperbolas should be -1 that is if one hyperbola is As we know the result If & are the eccentricities of the hyperbola & its conjugate then = 1

Step 3 of 3

##### ISBN: 9780321570567

Since the solution to 89AE from 10.4 chapter was answered, more than 252 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: asymptotes, perpendicular, eccentricities, Hyperbolas, Major. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 89AE 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 “Shared asymptotes Suppose that two hyperbolas with eccentricities e and E have perpendicular major axes and share a set of asymptotes. Show that e?2 + E?2 = 1.” is broken down into a number of easy to follow steps, and 28 words.

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