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 - Exercises - Page 763: 6


$D= \{ (x,y) \in \mathbb{R}^2 : -9\leq x\leq 9\}$

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*}
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