Exercício de Cálculo Diferencial e Integral - III - Exercício de Fixação 1-1

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Exercício de Cálculo Diferencial e Integral - III - 
Exercício de Fixação 1 - Tentativa 1 de 3 
Questão 1 de 10 
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A - image.png 4 KB 
B - image.png 4.59 
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C - image.png 5.47 
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D - image.png 4.5 
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E - image.png 5.67 
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Questão 2 de 10 
Dada a função f(x, y, z) = x² + 5y – 3xz , encontre o seu domínio D e f (1, -1, 2), f (0, 3, 5) e f (4, 2, -3): 
A - D = R³ ; -10 ; 15 ; 62 Resposta correta 
B - D = R² ; 10 ; 15 ; 62 
 
C - D = R³ ; -10 ; -15 ; 4 
D - D = R³ ; 10 ; 15 ; 62 
E - D = R³; 10 ; 15 ; 62 
 
Questão 3 de 10 
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A - image.png 3.34 
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B - image.png 3.11 
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C - image.png 3.12 
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D - image.png 3.21 
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E - image.png 3.11 
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Questão 4 de 10 
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A - image.png 1.91 
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B - image.png 2.13 
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C - image.png 2.1 
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D - image.png 2.08 
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E - image.png 1.95 
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Questão 5 de 10 
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A - Se uma das derivadas parciais de f não existir no ponto P, então f não é diferençável no ponto 
P. Resposta correta 
B - Se f não é contínua no ponto P, então f é diferençável no ponto P. 
C - Se as duas das derivadas parciais de f existir no ponto P, então f não é diferençável no ponto P. 
 
 
D - Se f não é contínua no ponto P, então as duas das derivadas parciais de f existem. 
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E - Se uma das derivadas parciais de f não existir no ponto P, então f é diferençável somente no ponto 
P que existir. 
 
Questão 6 de 10 
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A - O limite da função f no ponto (1,1) é igual a 1 
B - O limite da função f no ponto (1,0) é igual a -1 
C - O limite da função f no ponto (1,0) é igual a 0 Resposta correta 
D - O limite da função f no ponto (1,-1) é igual a 0 
E - O limite da função f no ponto (1,0) não existe 
 
Questão 7 de 10 
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A - 14x + 5x 
B - 5y 
C - 7x + 5 
D - 14x + 5y Resposta correta 
E - 7x + 5y 
 
Questão 8 de 10 
Considerando uma função de duas variáveis z = f (x, y), tem-se como objetivo encontrar 
pontos onde o gráfico da função tenha: 
A - 
um nível tangente; 
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B - 
um objetivo expresso; 
C - 
um plano tangente horizontal; 
 Resposta correta 
D - 
um plano tangente; 
E - 
uma linha transversal; 
 
Questão 9 de 10 
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A - I, II e III, somente. 
B - II, III e IV, somente. Resposta correta 
C - I, III e IV, somente. 
D - III e IV, somente. 
E - I, II, III e IV. 
 
Questão 10 de 10 
O gráfico de uma função de duas variáveis pode ser entendido como: 
A - um plano; 
B - um ponto; 
C - uma interseção; 
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D - uma reta; 
E - uma superfície; Resposta correta