Concept explainers
To calculate: The center, vertices, foci and eccentricity of the ellipse and sketch its graph
Answer to Problem 28CR
The center of the ellipse is
Explanation of Solution
Given information:
The expression of the ellipse is
Formula used:
The standard form of the equation of an ellipse is,
Calculation:
So, the major axis is vertical where,
Now, the center, vertices, foci and eccentricity of an ellipse can be obtained as,
Center:
Vertices:
Foci:
Eccentricity:
The graph can be represented as,
Therefore, the center, vertices, foci and eccentricity of an ellipse is obtained and the graph is represented.
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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