Answer
$x$ and $y$ are independent. But $z$ is dependent.
Work Step by Step
In the function defined by $$z=x^2y-xy^2$$
one can see that $x$ and $y$ are free to take any values so they are independent. But $z$ is dependent.
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 12 - Functions of Several Veriables - 12.2 Graphs and Level Curves - 12.2 Exercises - Page 882: 1
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