Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 14 - Partial Derivatives - 14.8 Exercises - Page 987: 1

Answer

Maximum value: $\approx 59$ and Minimum value: $30$.

Work Step by Step

We are given a contour map of $f$ and a curve with equation $g(x,y)=8$. We need to find the maximum and minimum values of $f$ subject to $g(x,y)=8$. Since the constraint $g(x,y)=8$ comes under $60$ and $30$, the maximum value is: $\approx 59$ and minimum value is: $30$.
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