For five data points listed in Table 1, you are asked to do the following: 1. Wr

Question

For five data points listed in Table 1, you are asked to do the following: 1. Write a Newton's interpolating polynomial function of 5^th -order with six constants (b_i, i = 1: 6). 2. Derive the following divided difference (Newton bracket): f[x_2, x_3, x_4] = f[x_3, x_4] - f [x_2, x_3]/x_4 - x_2 3. Develop a MATLAB function file to find all divided differences, f[x_1, x_2], f[x_1, x_2, x_3], etc., as well as the five constants of the interpolating polynomial function. 4. Plot both the data points and the interpolating function. 5. Determine the value of the function at x = 5.4.

Explanation / Answer

1.1-

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