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Give the equation in polar coordinates of a conic section

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

Solution for problem 10E 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 10E

Give the equation in polar coordinates of a conic section with a focus at the origin, eccentricity e, and a directrix x = d, where d > 0.

Step-by-Step Solution:

Solution 10EStep 1:In this problem we need to give the equation of a conic section in polar coordinates with a focus at the origin, eccentricity e, and a directrix x = d, where d > 0.To obtain a polar equation for a conic section, we position the pole at the conic’s focus and the polar axis along the focal axis with the directrix to the right of the pole. We call the distance from the focus to the directrix as d .From the figure, We know that eccentricity Put we get,Solve for r:Hence the equation in polar coordinates of a conic section with a focus at the origin, eccentricity e, and a directrix x = d, where d > 0 is

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Chapter 10.4, Problem 10E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Give the equation in polar coordinates of a conic section