hw2 - p n if | p n-p n-1 | < 10-5 . (1) f ( x )...

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Math 473/Fall 2009/Homework #2: Newton Apply Newton’s method to the following problems. In each case, you are given a function f and an initial estimate p 0 to a root p of f . You need to find p 1 ,p 2 ,p 3 ,... , using the iteration formula p n +1 = p n - f ( p n ) f 0 ( p n ) . You should conclude the process with estimate
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Unformatted text preview: p n if | p n-p n-1 | < 10-5 . (1) f ( x ) = x 2-6, p = 1. (2) f ( x ) = x 2-6, p =-1. (3) f ( x ) = x 3-2 x 2-5, p = 2. (4) f ( x ) = x-cos x , p = 1. (5) f ( x ) = sin x-e-x , p = 1 / 2....
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