The eccentricity of a parabola is ________, of an ellipse it is _________ and of a hyperbola it is _________.
To fill: The eccentricity e of a parabola is ________, of an ellipse it is _________, and of a hyperbola it is _________.
Answer to Problem 4AYU
for parabola.
for ellipse.
for hyperbola.
Explanation of Solution
Given:
To consider the eccentricity e for parabola, ellipse and hyperbola.
Calculation:
For a conic,
. Where āeā is the eccentricity of the conic.
if the conic is parabola, then .
If the conic is an ellipse, then .
If the conic is an hyperbola, then .
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Precalculus Enhanced with Graphing Utilities
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