Suppose you have a pure tone (cosine wave) at a frequency of 3 kHz, called x(t). Using what you have learned about amplitude modulation (AM), perform the following:

Using 2 cosines at frequencies f1 and f2 and a low-pass filter with cutoff frequency fcutoff, you want to convert x(t) into two cosines at frequencies 1 kHz and 5 kHz. Given that fi-20 kHz, describe the procedure you use and report your frequencies f2 and fcutoff .