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If dy/dx = 2x – 3 and y = 3 when x = 0, find…

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
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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