JAMB Mathematics 2018 Objective — Question 15

Question 15 of 39 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

If dy/dx = 6x−3 and y(−1)=8, find y(x)

A. 3x²−3x+8
B. 3x²−3x−8
C. 3x²+3x+8
D. 3x²−3x+2Correct

Explanation

Integrating: y = 3x²−3x+k. Using y(−1)=8: 3(1)−3(−1)+k=8 → 3+3+k=8 → k=2. So y=3x²−3x+2.

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