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
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