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Conteúdo principal

Distinção de campos vetoriais conservativos

Problema

f, left parenthesis, x, comma, y, right parenthesis, equals, P, left parenthesis, x, comma, y, right parenthesis, \imath, with, hat, on top, plus, Q, left parenthesis, x, comma, y, right parenthesis, \jmath, with, hat, on top.
Seja P, left parenthesis, x, comma, y, right parenthesis, equals, cosine, left parenthesis, x, right parenthesis, minus, y e Q, left parenthesis, x, comma, y, right parenthesis, equals, cosine, left parenthesis, y, right parenthesis, minus, x.
P, start subscript, y, end subscript, equals

Q, start subscript, x, end subscript, equals
f é um campo vetorial conservativo?
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