Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 11 - Section 11.6 - Polar Equations of Conics - 11.6 Exercises - Page 830: 41

Answer

See graph and explanations.

Work Step by Step

See graph, we know that when $e=1$, the conic will be a parabola, and when $e$ approaches zero, the conic becomes a circle. Based on the series of conics in the graph, as $e$ increases, the ellipses elongate horizontally and reach a parabola when $e=1$.
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