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The eccentricity of an ellipse is defined as e=c/a

Math Apr 11, 2023

The eccentricity of an ellipse is defined as e=c/a.

For an? ellipse, 0<c<a, so 0<e<1. When e is close to? 0, an ellipse appears to be nearly circular. When e is close to? 1, an ellipse is very flat. Find  an equation of an ellipse with vertices (0,−3) and (0,3) and e=2/3.

?(Type your answer in standard? form.)

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