Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 7 - Ingredients of Multivariable Change: Models, Graphs, Rates - 7.3 Activities - Page 557: 1

Answer

$\frac{∂w}{∂ℎ}$ pounds per inch

Work Step by Step

It is given that $w(a, h)$ is the weight of a person where $a$ is their age, and $h$ is their height in inches. The rate of change of weight with respect to height is therefore $\frac{∂w}{∂ℎ}$ pounds per inches (we do not consider $a$ so it is a partial derivative).
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