4) Find the approximation function at x = 0.35 of the following data. Using a) [5...

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4) Find the approximation function at x = 0.35 of the following data. Using a) [5 Pts.] First order Lagrange Polynomial. b) [5 Pts.] Second order Lagrange Polynomial. c) [5 Pts.] Third order Lagrange Polynomial. x 0.1 0.2 0.4 0.5 0.6 f(x) 0.981 0.928 0.744 0.625 0.496 4) Find the approximation function at x = 0.35 of the following data. Using a) [5 Pts.] First order Lagrange Polynomial. b) [5 Pts.] Second order Lagrange Polynomial. c) [5 Pts.] Third order Lagrange Polynomial. x 0.1 0.2 0.4 0.5 0.6 f(x) 0.981 0.928 0.744 0.625 0.496