Question

The point (3,2) is on a curve and at any point (x,y) on the curve, the tangent line has a slope equal to 2x-3. Find the equation of the curve.

Answer 1

I only got to the part where the anti derivative is x^2 -3x +c

Answer 2

you know the point 3,2 is on the line, it is called an initial condition.

Answer 3

y = x^2 -3x + c

2 = 3^2 -3(3) + c, solve for c

Answer 4

Thanks! :)

Answer 5

yep