• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 44

Found in: Page 772


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Use polar coordinates to graph the conics in Exercises 44–51.


The graph is

See the step by step solution

Step by Step Solution

Step 1. Given information.

r=21+3cosθ.The given equation is

Step 2. Comparison.

On comparing the given equation with the standard form,

r=eu1+ecosθ The eccentricity e=3 Here eu=23·u=2u=23

Step 3. Graph of the equation.

For r=21+3cosθ the eccentricity is e=2, so the graph is a hyperbola. The directrix is perpendicular to the polar axis at a distance u=23units to the right of the pole. The directrix will be the vertical line x=23.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.