Calculus (3rd Edition)

Published by W. H. Freeman

Chapter 15 - Differentiation in Several Variables - 15.1 Functions of Two or More Variables - Preliminary Questions - Page 763: 3

Answer

$h(3,8,2) = 6$. $h(3,-2,-6) = \frac{-1}{6}$.

Work Step by Step

We are given the function: $h(x,y,z)=xyz^{-2}$ We plug in the points to find the function values: $h(3,8,2) = (3)(8)(2)^{-2} = (3)(8)(\frac{1}{4}) = (3)(2) = 6$ $h(3,-2,-6) = (3)(-2)(-6)^{-2} = (3)(-2)(\frac{1}{36}) = \frac{-6}{36} = \frac{-1}{6}$

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