Use Newtons method to solve the equation 0 = 1 2 + 1 4 x2 x sin x 1 2 cos 2x, with p0 =

Chapter 2, Problem 16

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Use Newtons method to solve the equation 0 = 1 2 + 1 4 x2 x sin x 1 2 cos 2x, with p0 = 2 . Iterate using Newtons method until an accuracy of 105 is obtained. Explain why the result seems unusual for Newtons method. Also, solve the equation with p0 = 5 and p0 = 10.

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