Implement in MATLAB the algorithm for Newton's Method. Get the pseudo code line in the book should be reflected in its actual code equivalent in MATLABProvide comments, explanations and discussions. Include the table showing the parameter values for each iteration and graphs. Newton'sTo find a solution to f(x) = 0 given an initial approximation po:INPUT initial approximation po; tolerance TOL; maximum number of iterations No.OUTPUT approximate solution p or message of failure.Step 1 Set i 1.Step 2 While i No do Steps 3-6.Step 3Step 4Step 5Step 6Set p = Po-f(po)/f' (po). (Compute Pi.)If p-pol < TOL thenOUTPUT (p): (The procedure was successful.)STOP.Set i=i+1.Set po = p. (Update po.)Step 7 OUTPUT (The method failed after No iterations, No =', No);(The procedure was unsuccessful.)STOP. Use Newton's method to find solutions accurate to within 10-5 to the following problems.x²2xe+e-²=0, for 0≤x≤lcos(x + √2) + x(x/2 + √2)=0, for-2 ≤ x ≤-1b.

Define the function f(x).Define the derivative of f(x), df(x).Initialize variables for the table…

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

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Implement in MATLAB the algorithm for Newton's Method. Get the pseudo code line in the book should be reflected in its actual code equivalent in MATLABProvide comments, explanations and discussions. Include the table showing the parameter values for each iteration and graphs.

Newton's
To find a solution to f(x) = 0 given an initial approximation po:
INPUT initial approximation po; tolerance TOL; maximum number of iterations No.
OUTPUT approximate solution p or message of failure.
Step 1 Set i 1.
Step 2 While i No do Steps 3-6.
Step 3
Step 4
Step 5
Step 6
Set p = Po-f(po)/f' (po). (Compute Pi.)
If p-pol < TOL then
OUTPUT (p): (The procedure was successful.)
STOP.
Set i=i+1.
Set po = p. (Update po.)
Step 7 OUTPUT (The method failed after No iterations, No =', No);
(The procedure was unsuccessful.)
STOP.

Use Newton's method to find solutions accurate to within 10-5 to the following problems.
x²2xe+e-²=0, for 0≤x≤l
cos(x + √2) + x(x/2 + √2)=0, for-2 ≤ x ≤-1
b.

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