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Estudos Gerais12/07/2024

1. Desenhe as curvas de nível e esboce o gráfico. a) f(x, y...

  1. Desenhe as curvas de nível e esboce o gráfico.

a) f(x, y) = 1 - x² - y² b) f(x, y) = x + 3y c) z = 4x² + y² d) f(x, y) = 1 + x² + y² e) z = x + y + 1 f) g(x, y) = √(1 - x² - y²) g) f(x, y) = x², -1 ≤ x ≤ 0 e y ≥ 0 h) f(x, y) = 1 - x², x > 0, y > 0 e x + y ≤ 1 i) z = √(x² + y²) j) z = (x - y)², x ≥ 0 e y ≥ 0

1. Desenhe as curvas de nível e esboce o gráfico.

a) f(x, y) = 1 - x² - y²
b) f(x, y) = x + 3y
c) z = 4x² + y²
d) f(x, y) = 1 + x² + y²
e) z = x + y + 1
f) g(x, y) = √(1 - x² - y²)
g) f(x, y) = x², -1 ≤ x ≤ 0 e y ≥ 0
h) f(x, y) = 1 - x², x > 0, y > 0 e x + y ≤ 1
i) z = √(x² + y²)
j) z = (x - y)², x ≥ 0 e y ≥ 0
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