Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.5 - Parametric Equations - Exercise Set - Page 1020: 67

Answer

a. see graph; increases on $(0,2\pi)$; decreases on $(2\pi,4\pi)$ b. maximum at $(2\pi,4)$; minima at $(0,0)$ and $(4\pi,0)$
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Work Step by Step

a. Using various $t$ values, we can graph the parametric equations as shown in the figure. We can identify that the function increases over $(0,2\pi)$ and decreases over $(2\pi,4\pi)$. b. We can find a maximum at $(2\pi,4)$ and minima at $(0,0)$ and $(4\pi,0)$.
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