Concept explainers
Find the standard equation of the ellipse from the corresponding graph
Answer to Problem 10E
The equation of the ellipse is
Explanation of Solution
Given:
The given graph is
The center of the ellipse is at
The length of the axis parallel to x-axis is,
The length of the axis parallel to y-axis is,
Since 4 > 3, the major axis of an ellipse is parallel to x-axis
So,
And
Also, the major axis is vertical with length 8.
The standard equation of an ellipse having center at (h, k) with major axis parallel to x-axis is given by
Substituting the values of
Hence the equation of the ellipse is
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