Consider the polar equation r =4/( 1 + e sin θ). Use a graphing utility to graph the equation for e = 1.1, e = 1.5, and e = 2. Identify the conic and discuss the change in its shape as e→1+ and e→∞.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.9: Polar Equations Of Conics
Problem 3ECP
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Consider the polar equation r =4/( 1 + e sin θ). Use a graphing utility to graph the equation for e = 1.1, e = 1.5, and e = 2. Identify the conic and discuss the change in its shape as e→1+ and e→∞.

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