In Example 5, we considered the equation x4 x2 = 0 (a) What happens if you choose x0 = 1

Chapter 5, Problem 8

(choose chapter or problem)

In Example 5, we considered the equation x4 x2 = 0 (a) What happens if you choose x0 = 1 2 _ 2 in the NewtonRaphson method? Give a graphical illustration. (b) Repeat the procedure in (a) for x0 = 0.71, and compare your result with the result we obtained in Example 5 when x0 = 0.70. Give a graphical illustration and explain it in words. What happens when x0 = 0.6? (This is an example in which small changes in the initial value can drastically change the outcome.)

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