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5. A function f(x) is to be computed at N equally spaced points X1, X2, X3,..., Un, where N is large. Two algorithms to accomplish this task are provided below, each described in pseudocode. Explain why both algorithms produce the same results if exact arithmetic is used. Which of the two algorithms would you prefer to use on a computer device, using machine arithmetic? Give reasons for your choice. Code an example in Mathematica, where the two algorithms differ. 5. A function f(x) is to be computed at N equally spaced points X1, X2, X3,..., Un, where N is large. Two algorithms to accomplish this task are provided below, each described in pseudocode. Explain why both algorithms produce the same results if exact arithmetic is used. Which of the two algorithms would you prefer to use on a computer device, using machine arithmetic? Give reasons for your choice. Code an example in Mathematica, where the two algorithms differ