1. Observe the output of the Simulink experiment and explain based on the following formula: cos(2f1t)+cos(2f2t)=2cos(2(2f1+f2)t)cos(2(2f1f2)t) Hint: look up beat frequencies https://youtube/Ca91ioVGd9A 2. Look up documentation on the fft, fftshift and abs commands in Matlab, explain what these do. 3. Use Matlab to draw the functions below in the interval given. x1[n]=2[n+5]3[n3]x2[n]=cos(0.06n)+0.2n10n100n100 4. x3[n]=[1,2,3,4,5,4,3,2,1,2,3,4,5,4,3,2]7n8 x4[n]=x3[2n]x5[n]=x3[n]e2n+x3[2n]cos(0.06n)7n8 5. Use Matlab to sketch the following function for a 1 second interval with a sampling frequency of 3kHz. 6. x(t)=cos(100t)+cos(400t)+cos(200t) 7. Repeat using the smallest sampling frequency that will not cause aliasing. Be careful - this is not the Nyquist frequency