Two variables x and y are such that (frac{dy}{dx}) = 4x – 3 and y = 5 when x = 2. Find y in terms of x
-
A.
2x2 – 3x + 5 -
B.
2x2 – 3x + 3 -
C.
2x2 – 3x -
D.
4
Correct Answer: Option B
Explanation
∫dy = ∫(4x – 3)dx, y = 2x2 – 3x + C
when y = 5, x = 2, C = 3
y = 2x2 – 3x + 3