Tofind:the conic of the polar equation and graph the polar equation.
Answer to Problem 55RE
The conic is hyperbolawith transverse axis perpendicular to directrix.
Explanation of Solution
Given:
Concept used:
For a conic with eccentricity e
If
If
If
For a conic with focus at origin and Directrix is
Then Polar equation of the conic is
For a conic with focus at origin and Directrix is
Then Polar equation of the conic is
Calculation:
Comparing this with polar equation:
Here
If
So, the conic isellipse with the major axis perpendicular to directrix.
The directrix is parallel to polar axis at a distance 6 units below the pole.
The graph of the polar equation
Hence, the conic is ellipse with the major axis perpendicular to directrix.
Chapter 10 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning