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5. (25 pts) (18-6, 7, 14) The following data come from a table that was measured with high precision f(x)3 61999 291444 Write a MATLAB

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5. (25 pts) (18-6, 7, 14) The following data come from a table that was measured with high precision f(x)3 61999 291444 Write a MATLAB function to calculate f(4) using Newton's interpolating polynomials of order 1 through 4 a) b) Write a MATLAB function to calculate f(4) using Lagrange polynomials of order 1 through 3 c) Write a MATLAB function to calculate f(4) and f(2.5) using cubic spline interpolation

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