Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 15 - Differentiation in Several Variables - 15.1 Functions of Two or More Variables - Preliminary Questions - Page 763: 2

Answer

$g(1,3) = \frac{3}{10}$. $g(3,-2) = \frac{-2}{13}$.

Work Step by Step

We are given the function: $g(x,y)=\dfrac{y}{x^2+y^2}$ We plug in the points to find the function values: $g(1,3) = \frac{3}{1^2 + 3^2}= \frac{3}{1+9} = \frac{3}{10}$. $g(3,-2) = \frac{-2}{3^2 + (-2)^2}= \frac{-2}{9+4} = \frac{-2}{13}$.
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