The transition between the loads of 10 kN/m and 37 kN/m is accomplished by means of a cubi...

The transition between the loads of 10 kN/m and 37 kN/m is accomplished by means of a cubic function of form w = k0 + k1x + k2 x2 + k3 x3, the slope of which is zero at its endpoints x = 1 m and x = 4 m. Determine the reactions at A and B.