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If dy/dx = 2x - 3 and y = 3 when x = 0, find...

Mathematics
JAMB 2002
If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x.
  • A. 2x2 - 3x
  • B. x2 - 3x
  • C. x2 - 3x - 3
  • D. x2 - 3x + 3
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Correct Answer: Option D
Explanation
dy/dx = 2x - 3
y = ∫2x - 3 dx => y = x2 - 3x + c
3 = (0)2 - 3(0) + c
=> c = 3

Thus y = x2 - 3x + 3
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