Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.1 Tangent Lines And Rates Of Change - Exercises Set 2.1 - Page 120: 3

Answer

(a) 0 cm/s (b) t = 0, t = 2, and t = 4.2 (c) maximum: t = 1; minimum: t = 3 (d) −7 cm/s

Work Step by Step

(a) the average velocity over the interval 0 ≤ t ≤ 3 --0 cm/s (b) the values of t at which the instantaneous velocity is zero --t = 0, t = 2, and t = 4.2 (c) the values of t at which the instantaneous velocity is either a maximum or a minimum --maximum: t = 1; minimum: t = 3 (d) the instantaneous velocity when t = 3 s --−7 cm/s
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