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find the equation of the curve which passes through by 6x - 5

Mathematics
JAMB 1998

find the equation of the curve which passes through by 6x - 5
  • A. 6x2 - 5x + 5
  • B. 6x2 + 5x + 5
  • C. 3x2 - 5x - 5
  • D. 3x2 - 5x + 3
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Correct Answer: Option D
Explanation
m = \(\frac{dy}{dv}\) = 6x - 5

∫dy = ∫(6x - 5)dx

y = 3x2 - 5x + C

when x = 2, y = 5

∴ 5 = 3(2)2 - 5(2) +C

C = 3

∴ y = 3x2 - 5x + 3

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts