JAMB - Mathematics (1998 - No. 30)
find the equation of the curve which passes through by 6x - 5
6x2 - 5x + 5
6x2 + 5x + 5
3x2 - 5x - 5
3x2 - 5x + 3
설명
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
∫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