The domain of f(x,y) = sqrt1 - x² - y² is the closed unit disk x² + y² ≤ 1.

Practice question · True or false

The domain of $f(x,y) = \sqrt{1 - x^{2} - y^{2}}$ is the closed unit disk $x^{2}$ + $y^{2} \leq 1$ .

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True

Why

The expression under the square root must $be \geq 0$ , so $x^{2}$ + $y^{2} \leq 1$ .

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