b) Now, use the central difference method to estimate f'(3) with a step size of 0.01 and use this value in an approximate version of the Newton-Raphson method to derive 1 improvement on co. The root ₁ of the function after one improvement is

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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The smallest positive zero of f(x) = x tan(x)+3 is a measure of how quickly certain evanescent water waves decay, and its value, x0, is near 3. (Round to 6 decimal places)

b)
Now, use the central difference method to estimate f'(3) with a step size of
0.01 and use this value in an approximate version of the Newton-Raphson
method to derive 1 improvement on co.
The root ₁ of the function after one improvement is
Transcribed Image Text:b) Now, use the central difference method to estimate f'(3) with a step size of 0.01 and use this value in an approximate version of the Newton-Raphson method to derive 1 improvement on co. The root ₁ of the function after one improvement is
a)
Use the forward difference method to estimate ƒ' (3) with a step size of 0.01
and use this value in an approximate version of the Newton-Raphson method to
derive 1 improvement on xo.
The root of the function after one improvement is
Transcribed Image Text:a) Use the forward difference method to estimate ƒ' (3) with a step size of 0.01 and use this value in an approximate version of the Newton-Raphson method to derive 1 improvement on xo. The root of the function after one improvement is
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