Question: Please use MATLAB Apply the the two programs to compute the interpolant to f(x) = 1/(1 + 25x2) and do the following: (a) Using the

Please use MATLAB Please use MATLAB Apply the the two programs to compute the

Apply the the two programs to compute the interpolant to f(x) = 1/(1 + 25x2) and do the following: (a) Using the 21 uniformly spaced nodes r,--1-k(1), k=0,1, ,20 have your program compute the error at -.985. (b) Using 21 Chebyshev nodes given by 2k 1 (220+1)), k=0, 1, . . . , 20. Have your program compute the error at x = .985. the output of your program should be the error in each case. Give an explanation of whether your results are consistent with the error bounds for each interpolation

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