Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 14 - Section 14.4 - Tangent Planes and Linear Approximation - 14.4 Exercise - Page 935: 33

Answer

$5.4 cm^2$

Work Step by Step

Area can be calculated as: $A= L \times W$ The differential form of the given function can be evaluated as follows: $dA=(\dfrac{\partial A}{\partial L}) dL + (\dfrac{\partial A}{\partial W}) dW$ Here, $dA=(24) \times (0.1)+(30) \times (0.1)$ or, $dA=[2.4+3.0] cm^2$ Hence, we have $dA=5.4 cm^2$
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