If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x.
A
2x2 - 3x
B
x2 - 3x
C
x2 - 3x - 3
D
x2 - 3x + 3
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
dy/dx = 2x - 3
y = ∫2x - 3 dx => y = x2 - 3x + c
3 = (0)2 - 3(0) + c
=> c = 3
Thus y = x2 - 3x + 3
Source: Myschool Past Questions Archive (Record #2880)