
Concept explainers
To find:The center, vertices, foci and eccentricity of the ellipse

Answer to Problem 31E
The center, vertices, foci and eccentricity of the ellipse
Explanation of Solution
Given information:
The equation of the ellipse is
Calculation:
Compare the equation of ellipse
It gives
Use the formula.
Use the formula for eccentricity.
The center of the ellipse is
The vertices of the ellipse are:
The foci of the ellipse are:
The eccentricity of ellipse is
Therefore, The center, vertices, foci and eccentricity of the ellipse
The graph of the ellipse
Figure(1)
Verify the result graphically:
The graph of the ellipse using graphing utility is shown below.
Figure(2)
From the above graphs, we can see that both the graphs show same value at each point.
Therefore, both the graphs are same.
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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