Answer
$2r^3sin(2\theta) cos\theta-1=0$
Work Step by Step
Use the relations $x=r\ cos\theta$ and $y=r\ sin\theta$, we have:
$4x^2y=1$,
$4(r\ cos\theta)^2(r\ sin\theta)=1$,
$4r^3sin\theta cos^2\theta=1$,
$2r^3sin(2\theta) cos\theta-1=0$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Section 8.1 Polar Cordinates - 8.1 Assess Your Understanding - Page 592: 72
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.
