Determine the value of the coefficients a, b, c, d and e so that the following…

Determine the value of the coefficients a, b, c, d and e so that the following f(a) is a natural cubic spline on (0,2]; 3 € [0, 1], c+ d(- 1) + (x – 2)2 + (x – 2) 3€ [1, 2] f(x) = {1+2-3 + bx3