Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 14 - Partial Derivatives - 14.4 Tangent Planes and Linear Approximations - 14.4 Exercises - Page 975: 33

Answer

$5.4 cm^2$

Work Step by Step

Area is given by: $A= Length \times Width$ The differential form can be evaluated as follows: $dA=\dfrac{\partial A}{\partial L} \times dL + \dfrac{\partial A}{\partial W} \times dW$ Plug the values, we get $dA=(24) \times (0.1)+(30) \times (0.1)$ $\implies dA=2.4 cm^2+3.0 cm^2$ Answer is: $dA=5.4 cm^2$
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