Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.6 Exercises: 7

Answer

a) 12 ft/sec b) 6 ft/sec c) 3 ft/sec

Work Step by Step

y = tanx $\frac{dy}{dt} = sec^2(x) \frac{dx}{dt} $ dx/dt = 3 ft/sec a) x = -$\frac{\pi}{3} $ $\frac{dy}{dt} = sec^2(-\frac{\pi}{3} )(3) = 12$ b) x = -$\frac{\pi}{4} $ $\frac{dy}{dt} = sec^2(-\frac{\pi}{4} )(3) = 6$ c) x = 0 $\frac{dy}{dt} = sec^2(0 )(3) = 3$
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