University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 3 - Practice Exercises - Page 204: 140

Answer

$\frac{ds}{dt}=1\frac{cm}{min}$

Work Step by Step

Given $s=20$ $\frac{dV}{dt}=1200$ $V=s^3$ on differentiating above, we get: $\frac{dV}{dt}=3s^2\frac{ds}{dt}$ $\frac{dV}{dt}=3\times20^2\frac{ds}{dt}$ $\frac{ds}{dt}=\frac{1200}{1200}=1$ thus, $\frac{ds}{dt}=1\frac{cm}{min}$
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