1. Define Convolution in Signal and System. 2. Discuss one application of Convolution in solving any engineering problem. 3. Determine the convolution between two signals given below by using manual calculation. Show your calculation and illustrate graphically the resulting signal. Signal 1 2 Signal 2 1 4. Write a MATLAB program (m-file) to determine the convolution between the two signals. Show your MATLAB programming code (in the appendix) and plot your results. 5. Plot the following function using MATLAB f ( x ) = x + + 3 x 3 + 4 x 2+2x+6 6. Plot the sinc(x) function with x values ranging from -5 to 5 using MATLAB. 7. Plot the following function and its corresponding Fourier Transform using MATLAB from t = 0 s to 50 s. 12 exp (-3t), t0 f(t)= 0, < 0