There are 2 things about this question. First it supposed to be done very fast , this means that the solution cannot be that long. Second, the sketch should be done/fit inside the graph. I got one answer here that the sketch was going after 15 k (x-axis) It is not possible.Does anyone knows how to solve this type of question having in mind these conditions above? Thank you

P.s Please, dont copy and past from the previous solution already posted here,because it was wrong

Question 3 [15pts] Let us consider the following signals: x(t) = cos(211 2 t) + cos(211 3. t) cos(211 18 t) and y(t) = hup(t) * x(t) where hp(t) is the impulse response of an ideal low-pass filter with frequency response H(f) = 11 (2) We are going to sample these signals taking 16 samples at a sampling frequency Fs, and then look at the values of the DFT. For example, if Fs = 32, the figure below represents the amplitude of samples of the DFT of x[n], XK. 18 16 14 12 10 8 6 4 2 0 0 1 2 3 4 5 6 7 8 k 9 10 11 12 13 14 15 Sketch the following a. [3pts] lYx) for Fs = 32 and for a cut-off frequency fc = 16. b . [3ntsi IX.I for E. = 16