MATLAB - please post a correct full solution

(a) Find the clamped cubic spline that passes through the points {(Ik; f(xk))}X-o, on the graph of f(x) = x + 2/x, using the nodes Xo = 1/2, x1 = 1, L2 = 3/2, 13 = 2. Use the first derivative boundary conditions S' (20) = f'(x) and S' (33) = f'(x3). Graph f and the clamped cubic spline interpolant on the same coordinate system. You should use program csfit.m from Avenue.] (b) Find the natural cubic spline that passes through the points {(Ik, f(xx))}Xo, on the graph of f(x) = x + 2/3, using the nodes to = 1/2, x1 = 1, C2 = 3/2, 13 = 2. Use the free boundary conditions S" (20) = 0 and S"(23) = 0. Graph f and the natural cubic spline interpolant on the same coordinate system. (c) Comment on any differences between the results you observed in (a) and (b). (a) Find the clamped cubic spline that passes through the points {(Ik; f(xk))}X-o, on the graph of f(x) = x + 2/x, using the nodes Xo = 1/2, x1 = 1, L2 = 3/2, 13 = 2. Use the first derivative boundary conditions S' (20) = f'(x) and S' (33) = f'(x3). Graph f and the clamped cubic spline interpolant on the same coordinate system. You should use program csfit.m from Avenue.] (b) Find the natural cubic spline that passes through the points {(Ik, f(xx))}Xo, on the graph of f(x) = x + 2/3, using the nodes to = 1/2, x1 = 1, C2 = 3/2, 13 = 2. Use the free boundary conditions S" (20) = 0 and S"(23) = 0. Graph f and the natural cubic spline interpolant on the same coordinate system. (c) Comment on any differences between the results you observed in (a) and (b)