Domain of Multivariable Function – A multiplication of functions inside a square root – Exercise 3131

Exercise

Determine the domain of the function

z(x,y)=(x2+y2−1)(2−x2−y2)z(x,y)=\sqrt{(x^2+y^2-1)(2-x^2-y^2)}

Final Answer


1≤x2+y2≤21\leq x^2+y^2\leq 2

Solution

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