Concept explainers
a.
To find: The standard form of the equation of the ellipse
a.
Answer to Problem 34RE
Explanation of Solution
Given:
Calculation:
b.
To find: The centre, vertices, foci, and eccentricity of the ellipse
b.
Answer to Problem 34RE
Center:
Vertices:
Foci:
Eccentricity:
Explanation of Solution
Given:
Calculation:
The standard form of the given ellipse is
Compare the given ellipse
This gives,
So, the center of the ellipse is
So, the vertices of the ellipse are
Now, find the value of
So, the foci of the ellipse are
Then, the value of the eccentricity is
c.
To sketch: The graph of the ellipse
c.
Explanation of Solution
Given:
Graph:
The graph of the ellipse can be drawn as shown below.
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning