Unformatted text preview: case we can test the result for accuracy. EXAMPLE 6.21 Find the x coordinate of the intersection of the curves y = 2 x and y = tan x , accurate to three decimal places. To put this in the context of Newton’s method, we note that we want to know where 2 x = tan x or tan x2 x = 0. We compute f ± ( x ) = sec 2 x2 and set up the formula: x i +1 = x itan x i2 x i sec 2 x i2 . From the graph in ﬁgure 6.18 we guess x = 1 as a starting point, then using the formula we compute x 1 = 1 . 310478030, x 2 = 1 . 223929096, x 3 = 1 . 176050900, x 4 = 1 . 165926508,...
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 Spring '07
 JonathanRogawski
 Math, Calculus, Numerical Analysis, Approximation, Want, Decimal, Accuracy and precision, ... ...

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