Question: Answer the following question. Use three-digit rounding arithmetic in your calculations. Show every step of your calculations clearly. (50 points) The equation f(x)=x22ex=0 has a

 Answer the following question. Use three-digit rounding arithmetic in your calculations.

Answer the following question. Use three-digit rounding arithmetic in your calculations. Show every step of your calculations clearly. (50 points) The equation f(x)=x22ex=0 has a solution in the interval [1,1]. (a) (16 points) Compute the approximate root for the bisection method with three iterations. (b) (10 points) What is the number of bisection iterations for an accuracy of =104 ? Just find the number of iterations. Do not do the calculations. (c) (24 points) Now use the Newton-Raphson method to approximate the root. Start with the initial guess x0=0 and perform three iterations

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