Question: Create a Matlab code (WITHOUT using any built-in functions i.e spline function) to construct a clamped cubic spline Q(x) that passes through the points (1,1)

Create a Matlab code (WITHOUT using any built-in functions i.e spline function) to construct a clamped cubic spline Q(x) that passes through the points (1,1) (4,1/4) (7,1/7) (10,1/10) (13, 1/13) and (16,1/16)

a) Use the constructed cubic spline to interpolate x = 3.

b) Find the error e2 = |1/3 - Q(3)|;

Can someone design a code without using built-in functions in MATLAB just by writing the code on your own?

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