Answer
$D= \{ (x,y) \in \mathbb{R}^2 : -9\leq x\leq 9\}$
Work Step by Step
Given $$ f(x,y)= \sqrt{81-x^2}$$
Since $f(x,y)$ is defined for
\begin{align*}
81-x^2\leq 0\\
x^2 \leq 81\\
-9\leq x\leq 9
\end{align*}
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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 - Exercises - Page 763: 6
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