Question: 1. Derive the second, fifth and tenth order Taylor polynomials around a for the following functions? a) f(x)=, a = 1 b) f(x) In

1. Derive the second, fifth and tenth order Taylor polynomials around a for the following functions? a) f(x)=, a = 1 b) f(x) In (x+1), a = 1 = c) f(x) = cos x, a = 1 Write a MATLAB code Taylor polynomials for a), b) and c). Evaluate the code for the values of x = 0.5, 1.5, 2. Show the exact errors as in the table and repeat the same thing for a = 2 Errorfi(x) Error f(x) Error f(x) 0.5 1.5 2.5

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