Using two octave codes plot the functions, Y1= 2 sin(X) cos(X) And  Y2= sin(2X) And verify that plot of both function is same for X= 0:0.01:1; Attach screenshot of plots of both function else I will downvote.

3. Give the VHDL code that implements the following truth table. a b y 1 1 1 1 0 1 1 1 1

please help.  here is my code but my professor said" it was not intended to start with the sinc function to generate the plots. Should define the rectangular pulse in the time domain and then perform the fft on that."  Please fix my code: close all; clear;   % Frequency range and increment for graph f = -0.3:0.001:0.3;   % Establishing values for Tau and Fourier Transform functions T1 = 5; x1 = pi * f * T1; M1 = (T1 * sin(x1)) ./ x1;   T2 = 10; x2 = pi * f * T2; M2 = (T2 * sin(x2)) ./ x2;   T3 = 25; x3 = pi * f * T3; M3 = (T3 * sin(x3)) ./ x3;     M1(isnan(M1)) = T1; M2(isnan(M2)) = T2; M3(isnan(M3)) = T3;   % Perform FFT and FFT shift for each signal F1 = fftshift(fft(M1)); F2 = fftshift(fft(M2)); F3 = fftshift(fft(M3));   % Plot magnitude of the signals figure(1) plot(f, abs(M1), 'c', f, abs(M2), 'b', f, abs(M3), 'm'); xlabel('Frequency (Hz)'); ylabel('|x(f)|'); title('Magnitude Plot of Fourier Transform of…