Question on: JAMB Mathematics - 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 Option: D

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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