Conteúdo principal

Cálculo multivariável

Lição 8: Mudança de variáveis

Mudança de variáveis: fronteira

f, left parenthesis, x, comma, y, right parenthesis, equals, x, minus, 3, y

Temos uma troca de variáveis:

\begin{aligned} x &= X_1(u, v) = \dfrac{u}{5} + \dfrac{v}{4} \\ \\ y &= X_2(u, v) = \dfrac{u}{2} - \dfrac{v}{2} \end{aligned}

Como fica f, left parenthesis, x, comma, y, right parenthesis com a mudança de variáveis?

(Escolha A)
start fraction, minus, 12, u, divided by, 7, end fraction, plus, start fraction, 12, v, divided by, 5, end fraction
(Escolha B)
start fraction, minus, 13, u, divided by, 10, end fraction, plus, start fraction, 7, v, divided by, 4, end fraction
(Escolha C)
start fraction, minus, 9, u, divided by, 8, end fraction, plus, start fraction, 5, v, divided by, 4, end fraction
(Escolha D)
start fraction, minus, 7, u, divided by, 5, end fraction, plus, start fraction, 4, v, divided by, 3, end fraction

Enroscou?