The eccentricity of a hyperbola is defined as e = c>a.For a hyperbola, c 7 a 7 0, so e 7

Chapter 7, Problem 35

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The eccentricity of a hyperbola is defined as e = c>a.For a hyperbola, c 7 a 7 0, so e 7 1. When e is closeto 1, a hyperbola appears to be very narrow. As theeccentricity increases, the hyperbola becomes wider.Observe the shapes of the hyperbolas in Examples2 and 3. Which hyperbola has the largereccentricity? Confirm your answer by computingthe eccentricity of each hyperbola.

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