1. Mathematics
2. Discrete Math
3. 55859

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There are a few parts to this problem. Please complete and explain each part.

1. Consider the array

in which, for some fixed x, the , , and are computed by the formulas

Write a Matlab function which will take inputs , and
will return output .

2. Note that when 's and 's are fixed, is a function of x. Plot this function.

3. Compare the function in (2) with the cubic polynomial interpolating . ( should be the value of the cubic interpolating polynomial at x.)