Calculus: Early Transcendentals 8th Edition

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

Chapter 14 - Review - Exercises - Page 982: 8

Answer

(a) Using the graph we can approximate $f(3,2)\approx \frac{50+60}{2}=55$ (b) $f_x(3,2)$ is negative because the functional value decreases if $x$ increases. (c) $f_y(2,1)$ is larger because level curves are closer at $(2,1)$ compared to $(2,2)$.

Work Step by Step

(a) Using the graph we can approximate $f(3,2)\approx \frac{50+60}{2}=55$ (b) $f_x(3,2)$ is negative because the functional value decreases if $x$ increases. (c) $f_y(2,1)$ is larger because level curves are closer at$(2,1)$ compared to $(2,2)$.
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