Newton-Raphson method is to be applied for approximating a root of the nonlinearequation x4 − x − 10 = 0.(a) How many solutions of the nonlinear equation are there in [1, ∞)? Are they simple?(b) Find an interval [1, b] that contains the smallest positive solution of the nonlinearequation.(c) Compute five iterations of Newton-Raphson method, for each of the initial guessesx0 = 1, x0 = 2, x0 = 100. What are your observations

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