Concept explainers
To find: The vertices, foci and the length of the major and minor axis of the ellipse
Answer to Problem 2T
The focus of the ellipse
The vertices of the ellipse
The length of major axis in the ellipse
The length of minor axis in the ellipse
Explanation of Solution
Definition used:
“The equation of the ellipse center at the origin with vertices
The given equation is in standard form of the ellipse
Therefore, compare the equation Use online graphing calculator and obtain the graph of
with the equation of ellipse
So , clearly the value of
Compute the value of
Therefore, the value of
Compute the value of
Therefore, the value of
Compute the value of
Therefore, the value of
From by the definition stated above, the focus and vertices of the ellipse are
Therefore, the focus and vertices of the ellipse
The length of major axis in the ellipse
The length of minor axis in the ellipse
Use online graphing calculator and obtain the graph of
From figure 1, observed that the focus and vertices of the ellipse
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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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