Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 13 - Functions of Several Variables - 13.1 Exercises - Page 876: 11

Answer

The solutions are a) $h(2,3,9) = \frac{2}{3}.$ b) $h(1,0,1) = 0.$ c) $h(-2,3,4) = -\frac{3}{2}.$ d) $h(5,4,-6) = -\frac{10}{3}.$

Work Step by Step

We will substitute $x$, $y$ and $z$ from the first, the second and the third coordinate, respectively into the function $h(x,y,z) = \frac{xy}{z}$ a) $h(2,3,9)=\frac{2\times3}{9} = \frac{2}{3}.$ b) $h(1,0,1) = \frac{1\times 0}{1} = 0.$ c) $h(-2,3,4) = \frac{-2\times 3}{4} = -\frac{3}{2}.$ d) $h(5,4,-6) = \frac{5\times4}{-6} = -\frac{10}{3}.$
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