newton method Exercise.7Use Newton method to find a root in each of the following functions:f(xn)f'(xn)(1) f(x) = tan x —-X,3π2Xn+1 = Xn-

We are given the function , Our aim is to find the root of given function using Newton Raphson…

Answered: Use Newton method to find a root in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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newton method

Expert Solution

Step 1: description of given data:

We are given the function $f left parenthesis x right parenthesis equals tan x minus x$ , $open square brackets straight pi comma space fraction numerator 3 straight pi over denominator 2 end fraction close square brackets$

Our aim is to find the root of given function using Newton Raphson Method.

Formula:

$x subscript n plus 1 end subscript equals x subscript n minus fraction numerator f left parenthesis x subscript n right parenthesis over denominator f apostrophe left parenthesis x subscript n right parenthesis end fraction$

$open square brackets straight pi comma space fraction numerator 3 straight pi over denominator 2 end fraction close square brackets almost equal to open square brackets 3.14159 comma space 4.71239 close square brackets$