5. Modify Program 2.5 to use the accelerated Newton-Raphson algorithm in Theo- rem 2.7 to find...

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5. Modify Program 2.5 to use the accelerated Newton-Raphson algorithm in Theo- rem 2.7 to find the root p of order M of each of the following functions. (a) f(x) = (x-2)5, M = 5, p = 2; start with po = 1. (b) f(x)=sin(x), M = 3, p = 0; start with po = 1. (c) f(x) = (x - 1) In(x), M = 2, p = 1; start with po = 2. 5. Modify Program 2.5 to use the accelerated Newton-Raphson algorithm in Theo- rem 2.7 to find the root p of order M of each of the following functions. (a) f(x) = (x-2)5, M = 5, p = 2; start with po = 1. (b) f(x)=sin(x), M = 3, p = 0; start with po = 1. (c) f(x) = (x - 1) In(x), M = 2, p = 1; start with po = 2.