Use MATLAB to solve the following three problems,; submit both your codes and re

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Use MATLAB to solve the following three problems,; submit both your codes and results. Problem 1 (40 points): In the circuit shown on the right, Ri = 3 R2 and in 5cos(t 30)+2 cos(3t 60)+2 V Ri where = 100 rad/sec. Write a MATLAB program to perform the a) Create an array for Vn for 0.5 sec using 1000 samples per second b) Create a sequence for Vout from Vin using voltage division and plot c) Compute the RMS values of Vout and Vin from these arrays [Hint: (sps) and plot it. it in the same window. Insert a legend and axis labels. Use a discrete-time version of Eq. (12) Problem 2 (30 points): For the circuit and input waveform used in Exercises 2.3 and 2.4, calculate and plot the capacitor's theoretic charging and discharging voltages [Hint: Use Eq. (7) and (8);pick a suitable value for the sps] Problem 3 (30 points): For the circuit used in Exercise 3.4, generate a Bode plot theoretically (the gain response only); this should look similar to the upper plot in Figure 15 [Hint: Use Eq. (13) and (15). Use "semilogx" so that the X-axis of your plot is in the log scale)

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