Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.1 Parametric Equations - Preliminary Questions - Page 602: 3


The maximum height is $$y= 4.$$

Work Step by Step

The particle’s height is $y = 4 − t^2$. Now, to find the maximum height, we put the derivative equal to zero, that is, $y'=-2t=0$, then $t=0$. Hence, the maximum height is $$y(0)=4-0^2=4.$$
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