Concept explainers
Find the equation of end ellipse such that from any point on the ellipse the sum of given points is 36.
Answer to Problem 65E
The given equationreduces to
Explanation of Solution
Given:
The point
To find the equation of end ellipse such that from any point on the ellipse, the sum of the distances from the point
Let
The distance between two points
Thus, the distance of the point
Similarly, the distance of the point
The sum of the two distances is 36.
This gives
Expanding and regrouping, the above equation reduces to
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
- 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