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AV Cálculo 2 Estácio

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Questões resolvidas

Analysing the assertions made above, choose the option that represents the correct reason between them. Assertion I is correct and Assertion II is incorrect. Assertion I is correct and Assertion II is correct, but it is not a justification for Assertion I. Assertion I is correct and Assertion II is a justification for Assertion I. Both assertions are incorrect. Assertion I is incorrect and Assertion II is correct.

I- If p is an interior point to the domain of the function f(x) which is an extreme point of f(x), and the derivative of f(x) exists at point p, then the derivative is null.
II- If the derivative of a function f(x) is null at a point p, then p is an extreme point of f(x).
Assertion I is correct and Assertion II is incorrect.
Assertion I is correct and Assertion II is correct, but it is not a justification for Assertion I.
Assertion I is correct and Assertion II is a justification for Assertion I.
Both assertions are incorrect.
Assertion I is incorrect and Assertion II is correct.

An astronaut varies his weight according to the expression W = 150 ( 6400+x 6400 ) , where W is the weight (kg) and is the distance to sea level (km). Knowing that the rate of variation of weight as a function of height relative to sea level is given by dW -300(6400)2 determine the value of the variation of weight with time, in kg/ for a velocity of 0.6Km/s and height of dx 1000Km.


-0.018.
0.018.
-0.017.

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Questões resolvidas

Analysing the assertions made above, choose the option that represents the correct reason between them. Assertion I is correct and Assertion II is incorrect. Assertion I is correct and Assertion II is correct, but it is not a justification for Assertion I. Assertion I is correct and Assertion II is a justification for Assertion I. Both assertions are incorrect. Assertion I is incorrect and Assertion II is correct.

I- If p is an interior point to the domain of the function f(x) which is an extreme point of f(x), and the derivative of f(x) exists at point p, then the derivative is null.
II- If the derivative of a function f(x) is null at a point p, then p is an extreme point of f(x).
Assertion I is correct and Assertion II is incorrect.
Assertion I is correct and Assertion II is correct, but it is not a justification for Assertion I.
Assertion I is correct and Assertion II is a justification for Assertion I.
Both assertions are incorrect.
Assertion I is incorrect and Assertion II is correct.

An astronaut varies his weight according to the expression W = 150 ( 6400+x 6400 ) , where W is the weight (kg) and is the distance to sea level (km). Knowing that the rate of variation of weight as a function of height relative to sea level is given by dW -300(6400)2 determine the value of the variation of weight with time, in kg/ for a velocity of 0.6Km/s and height of dx 1000Km.


-0.018.
0.018.
-0.017.

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