Answer
$r= \frac{9}{1 + 3 cos(θ)}$
Work Step by Step
$r= \frac{ed}{1 + e cos (θ)}$ (cosine since directrix is vertical line)
e = 3, directrix is at x=3. Focus is at (0,0) so d= 3,
$r= \frac{(3) (3)}{1 + (3) cos(θ)}$
$r= \frac{9}{1 + 3 cos(θ)}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 10 - Parametric Equations and Polar Coordinates - 10.6 Conic Sections in Polar Coordinates - 10.6 Exercise - Page 728: 4
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
