WAEC Further Mathematics 2023 Objective — Question 34
Question 34 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.
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The gradient of a curve is given by 3x^2-8x+2. If the curve passes through P(0,4), find the equation of the curve.
- A. y=x^3-4x^2+2x+4Correct
- B. y=x^3-4x^2+2C+D (irregular option)
- C. y=3x^3-4x^2+2x+D
- D. y=3x^3+4x^2+2x-4
Explanation
Integrating dy/dx=3x^2-8x+2 gives y=x^3-4x^2+2x+c. Since the curve passes through (0,4): 4=0-0+0+c => c=4. So y=x^3-4x^2+2x+4.
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