Neco 2022 Further Mathematics Question 14

Practice objective / multiple choice question 14 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 14 NECO • 2022 • FURTHER_MATHEMATICS • objective

Let \(f(x) = (ax + b)\,e^{2x}\). It is known that \(\displaystyle\int_{0}^{1} f(x)\,dx = 5\) and that the derivative at zero satisfies \(f'(0)=3\). Determine the constants \(a\) and \(b\) (rounded to three decimal places).

Answer Options

A. a ≈ 0.415, b ≈ 1.293
B. a ≈ -0.416, b ≈ 1.292
Correct Answer C. a ≈ 0.416, b ≈ 1.292
D. a ≈ 0.416, b ≈ -1.292
Correct Answer
C
Correct Option:
a ≈ 0.416, b ≈ 1.292

About This Question

This is Neco 2022 Further Mathematics Question 14. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Medium .

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