Concept explainers
To find: The centre, vertices, foci, and eccentricity of the ellipse.
Answer to Problem 35E
The centre of the ellipseis at is
Explanation of Solution
Given information:
The equation of the ellipse is,
Concept used:
Write the standard equation of anellipseof horizontal major axis.
Write the standard equation of anellipseof vertical major axis.
The foci lie on the major axis,
The equation of the ellipse can be written as,
Write the standard equation of anellipseof vertical major axis.
Compare the given equation and the standard equation of the ellipse,
The value of
So, the centre of the ellipseis at is
The eccentricity is calculated as,
Consider the sketch of the ellipse,
Thus, the centre of the ellipseis at is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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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