To find:the eccentricity of the ellipse.
Answer to Problem 25E
The eccentricity of the ellipse is
Explanation of Solution
Given:
Calculation:
As the ellipse passes through origin,that is
Therefore,
The ellipse passes through
This implies that
The ellipse is tangent to x-axis, therefore its center lies on y-axis.
This implies that
Therefore the equation can be simplified to,
It could further be simplified to,
Now according to the standard symbols,
Now
This implies that
Conclusion:
Therefore,the eccentricity of the ellipse is
Chapter A5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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