Consider the ellipse (a) Show that the equation of the

Chapter , Problem 91

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Consider the ellipse (a) Show that the equation of the ellipse can be written as where is the eccentricity (see Exercises 59 and 60). (b) Use a graphing utility to graph the ellipse for 0.75, 0.5, 0.25, and 0. Make a conjecture about the change in the shape of the ellipse as approaches 0.

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