Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 10 - Section 10.3 - Polar Coordinates - 10.3 Exercises - Page 668: 70

Answer

See the figures below.

Work Step by Step

The curve $$ r=|\tan \theta|^{|\cot \theta|} $$ The parameter interval $[0, \pi]$ produces the heart-shaped curve shown in the first figure. The final cure, with the reflected heart, is produced by the parameter interval $[0,2 \pi]$.
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