Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Section 3.8 - Related Rates - Exercises 3.8 - Page 164: 35

Answer

$0.28$ L/min (increase)

Work Step by Step

Step 1. We are given $y=\frac{Q}{D}$, $Q=233, D=41$, and $\frac{dD}{dt}=-2$ unit/min; $Q$ is a constant. Step 2. Differentiate the above $y$ equation: $\frac{dy}{dt}=-\frac{Q}{D^2}\frac{dD}{dt}=-\frac{233}{41^2}(-2)=\frac{466}{1681}\approx0.28$ L/min (increase)
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