hw1 - x 3 + x-4 = 0 in the interval [1 , 4] with an error...

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Math 473/Fall 2009/Homework #1: Bisection (1) Do 3 iterations of the bisection method for f ( x ) = x - cos x on [0 , 1]. (2) Use the bisection method to find solutions accurate to within 10 - 2 for f ( x ) = x 3 - 7 x 2 + 14 x - 6 = 0 (a) on [0 , 1] (b) on [3 . 2 , 4]. (3) Use the bisection method to find an estimate for 5 accurate to 10 - 3 . (4) Find a bound for the number of iterations of the bisection method needed to obtain an estimate for the root of
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Unformatted text preview: x 3 + x-4 = 0 in the interval [1 , 4] with an error less than 10-6 . [You do not have to do the iterations.] (5) [Make sure your calculator is set in radians, not degrees.] Start to apply the bisection method to f ( x ) = tan x on the interval [1 . 5 , 1 . 6]. Why does it go wrong?...
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