Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises - Page 731: 43

Answer

The curve bulges to the right for $c \lt -1$. The curve represents a straight line for $c=-1$. The curve bulges to the left for $-1\lt c \lt 0$. We can observe a cusp for $c=0$. The curve is a loop fo $c \gt 0$. All curves have the vertical asympototes $x=1$.

Work Step by Step

The noteworthy points about the curves are following: The curve bulges to the right for $c \lt -1$. The curve represents a straight line for $c=-1$. The curve bulges to the left for $-1\lt c \lt 0$. We can observe a cusp for $c=0$. The curve is a loop fo $c \gt 0$. All curves have the vertical asympototes $x=1$.
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