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: 66

Answer

a. increases on $(-\infty,1)$; decreases on $(1,\infty)$ b. maximum $(1,7)$
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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 $(-\infty,1)$ and decreases over $(1,\infty)$. b. We can find the vertex at $(1,7)$, which gives a maximum at $x=1$ with the value $y=7$.
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