Use MATLAB to solve the following three problems; submit both your codes and results. Problem 1: Consider the half-wave rectifier circuit in Figure 11. Your goal is to plot the output waveform of this circuit for a given input waveform. Use the following algorithm to plot two cycles of a sinusoidal input, Vin(t)5cos(t), and the corresponding output in the same figure window. Pick an arbitrary frequency and choose a suitable sampling interval accordingly to vary the input voltage for different time instances For each instantaneous value of the input voltage, o the output voltage is zero if Vin is less than the diode's forward built-in voltage, 0.7 o the output voltage is Vin 0.7 if Vin > 0.7 V. Diode AC Input Vs R VouT Figure11