Engineering assignment

 Figure 1 presents signal x(t). Fig.1  Sketch and mathematically describe the signal x (t) if:  The signal compressed by factor 3?  The signal time-expanded by factor 2?  Question 2 (20 points) There is a causal signal which system function in S domain is ????(????) = 1 ???? 2+5????+6 . If the input signal is ????(????) = ???? −????????(????) , What is the output of the system? Show the step by step solution. 4 Question 3 (20 points) Answer the following questions; include all your works. 1) Find the Laplace transform for the function below: 2 ????(???? − 4) + ????(???? + 1) 2) Find the inverse Laplace Transform of: ????(????) = 2 + 7???? − 6 ???? 2 − ???? − 6 Is this system stable? Why? PART B. (30%) Considering the signal in fig 2; What is the fundamental period and frequency for this signal. Calculate the trigonometric Fourier series for this signal. Include all your calculations. Fig. 2