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Post-UTME Mathematics 2008 Objective — Question 14

Question 14 of 16 from the Post-UTME Screening (Post-UTME) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

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Two variables x and y are such that dy/dx=4x-3 and y=5 when x=2. Find y in terms of x.

  • A. 2x²-3x+5
  • B. 2x²-3x+3Correct
  • C. 2x²-3x
  • D. 4

Explanation

Integrating: y=2x²-3x+C. At x=2, y=8-6+C=5 gives C=3, so y=2x²-3x+3.

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