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Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y...

Mathematics
JAMB 1995
Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x
  • A. 2x2 - 3x + 5
  • B. 2x2 - 3x + 3
  • C. 2x2 - 3x
  • D. 4
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Correct Answer: Option B
Explanation
∫dy = ∫(4x - 3)dx, y = 2x2 - 3x + C

when y = 5, x = 2, C = 3

y = 2x2 - 3x + 3
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