Escola Naval Practice Questions - Concurso Público de Admissão à Escola Naval (CPAEN) Exam - Escola Naval Practice Questions - Concurso Público de Admissão à Escola Naval (CPAEN) Exam

Question 1

Evaluate the indeterminate limit $\lim_{x \to 0} \frac{\sin(3x) - 3x}{x^3}$.

-9/2 -3/2 0 9/2

Correct Answer:

-9/2

Question 2

Determine the equation of the line tangent to the graph of $f(x) = x^3 - 3x^2 + 2x$ at the point with abscissa $x = 2$.

$$y = 2x - 4$ $$y = -2x + 4$ $$y = 2x$ $$y = x - 2$

Correct Answer:

$$y = 2x - 4$

Question 3

Evaluate the definite integral $\int_{0}^{1} x e^{2x} \, dx$.

$$\frac{e^2 + 1}{4}$ $$\frac{e^2 - 1}{4}$ $$\frac{e^2 + 1}{2}$ $$\frac{3e^2 - 1}{4}$

Correct Answer:

$$\frac{e^2 + 1}{4}$

Question 4

What is the area of the plane region bounded by the curves $y = 4 - x^2$ and $y = x + 2$?

9/2 7/2 11/2 9

Correct Answer:

9/2

Question 5

What is the distance from the point $P(1, -2, 3)$ to the plane $\pi: 2x - 2y + z - 15 = 0$ in $\mathbb{R}^3$?

2 3 6 8

Correct Answer:

Question 1

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About this Exam

Prepare with the Escola Naval Practice Questions - Concurso Público de Admissão à Escola Naval (CPAEN) Exam practice quiz. This question bank includes 100 questions covering text, frac, point, speed, and horizontal. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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Escola Naval Practice Questions - Concurso Público de Admissão à Escola Naval (CPAEN) Exam

This practice set contains 100 questions from the matching question bank and focuses on text, frac, point, speed, and horizontal. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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Escola Naval Practice Questions - Concurso Público de Admissão à Escola Naval (CPAEN) Exam

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