4. (20 pts) A signal contains a frequency component at 100 Hz with amplitude 1.50 V, but there is also some undesired noise in the signal at 16,000 Hz, amplitude 0.20 V. The DC offset is negligible. You wish to filter out the noise. (a) What is the cutoff frequency of the first-order low pass filter you will use? (b) You have a 0.30 uF capacitor, what should be the value of your resistor? (c) What are the resulting amplitudes and phases of the two signals after the filter? For each signal what is the attenuation in dB? (d) What would be the amplitudes of the signals if you used a second-order filter with the same cutoff frequency?