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Eccentricity-directrix approach Find an equation of the

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

Solution for problem 38RE Chapter 10

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 38RE

Problem 38RE

Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at the origin. Graph the curve, labeling vertices, foci, asymptotes (if they exist), and directrices.

An ellipse with foci (±4, 0) and directrices x = ±8

Step-by-Step Solution:

Solution 38RE

 Given an ellipse with foci (±4, 0) and directrices x = ±8

Step 1:

Find an equation of the following curves, assuming the center is at the origin

The general equation of a ellipse is

The general form of foci is  and directrix is

Therefore and

Therefore

Therefore

We have the formula

Therefore

 is the equation of the ellipse.

Step 2 of 1

Chapter 10, Problem 38RE is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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