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Post-UTME Mathematics 2006 Objective — Question 7

Question 7 of 10 from the Post-UTME Screening (Post-UTME) Mathematics 2006 Objective paper, with the correct answer and a full explanation.

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Determine the maximum value of y=3x²-x³

  • A. 0
  • B. 2
  • C. 4Correct
  • D. 6

Explanation

dy/dx=6x-3x²=0 gives x=0 or x=2; x=2 is a maximum, with y(2)=12-8=4.

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