A table of values of a function f is given at the points xi = i/10 for 0?i ?100. In order to obtain a graph of f with the aid of an automatic plotter, the values of f are required at the points zi = i/20 for 0?i ?200. Write a procedure to do this, using a cubic interpolating polynomial with nodes xi , xi+1, xi+2, and xi+3 to compute f at1/2 (xi+1 + xi+2). For z1 and z199, use the cubic polynomial associated with z3 and z197, respectively. Compare this routine to Coef for a given function.
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