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Solve in MATLAB Problem 3: Noisy Sine Wa Enter the following code into a MATLAB script file. Study the statements to understand the calculations. Write

Solve in MATLAB

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Problem 3: Noisy Sine Wa Enter the following code into a MATLAB script file. Study the statements to understand the calculations. Write a short observation (one paragraph) about the use of the diff function in numerical integration and the behavior of the three differentiation techniques. clc; clear; close all delX-pi/50; x = 0 : de 1X : 2*pi; % vector of x values n - length (x) y sin (x) .031( rand (1,n)-0. 3 ) ; % Add random noise to sin % Backward and Forward difference % central difference dyCentral -y (3:end) - y(1:end-2) 2*delx) % Display the results plot (x,y, 'k', 'LineWidth',1) hold on plot (x (2:end), dy, "g, 'LineWidth',1) plot x 1: end-1) , dy, ' b ' , ' LineWidth ' , 1 ) plot (x (2:end-1), dyCentral, 'r', 'LineWidth',1) hold off legend ('Noisy Sine', "Backward', "Forward', "Central','Location', 'Best') xlim ([0 2*pi])

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