Question 1
Evaluate the limit: lim(x→0) [sin(5x) / (3x + tan(2x))].
Correct Answer:
1
Question 2
Find the value of the limit: lim(x→∞) [√(4x² + 3x) − 2x].
Correct Answer:
3/4
Question 3
Let f(x) = x³ ln(x) for x > 0. Determine f''(1).
Correct Answer:
5
Question 4
Find the equation of the tangent line to the folium curve defined implicitly by x³ + y³ = 9xy at the point (2, 4).
Correct Answer:
4x − 5y + 12 = 0
Question 5
A cylindrical tank with an open top has a fixed volume of 27π m³. Find the radius r that minimizes the total surface area of the tank.
Correct Answer:
3 m
Question 1
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Prepare with the UNIKIN Polytechnique Admission Test Practice Questions - Université de Kinshasa Faculté Polytechnique Concours d'Admission Exam practice quiz. This question bank includes 100 questions covering find, evaluate, equation, integral, and vector. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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UNIKIN Polytechnique Admission Test Practice Questions - Université de Kinshasa Faculté Polytechnique Concours d'Admission Exam

This practice set contains 100 questions from the matching question bank and focuses on find, evaluate, equation, integral, and vector. 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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