A curve is defined for x>0. the gradient of the curve at the point (x,y) is given by dy/dx = x^3/2 - 2x

Question

I need help with part C as i am unsure what value i should put into x to find the +C

 

part a + b + c: a) show that there is a single value of x for which the curve has a stationary point b)find d^2y/dx^2 and hence show that the curve has a minimum point  

c)the line with equation y=2 is a tangent to the curve. find the equation of the curve.

Answer 1

Since the curve is tangent to y = 2, determine the value of C such that the integrated equation equals 2.