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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #30740)