Determine e desenhe no plano cartesiano o domínio das funções de duas variáveis.
Passo 1
Neste exercício vamos achar para quais pares \(x,y)\ a função \(
f(x,y)=\sqrt{1-x^{2}} - \sqrt{1-y^{2}}\
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] // Actually that seems wrong because we started a block formula but didn’t close. Let’s fix: solution steps as strings, no block here. Let’s do properly. )
f(x,y)=\sqrt{1-x^{2}} - \sqrt{1-y^{2}}\
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] // Actually that seems wrong because we started a block formula but didn’t close. Let’s fix: solution steps as strings, no block here. Let’s do properly. )
Passo 2
final_answer
Resposta
O domínio é o quadrado fechado
\(D={(x,y)\in\mathbb{R}^2\mid -1\le x\le1,,-1\le y\le1}).
\(D={(x,y)\in\mathbb{R}^2\mid -1\le x\le1,,-1\le y\le1}).