This is Dr. Ferri, and this an extra problem for demonstrating how to use the frequency spectrum. I'd like you to be able to recognize frequency content of signal as it's shown in the frequency spectrum, as well as the frequency content of the signals as you see it in the time domain, shown here. So this problem asks you to match the time domain voltage waveform to the appropriate frequency spectrum on the left. So let's start looking at this, let's look at this one right here, this one has a DC value, so this is for DC. A DC component plus some higher frequency. Now the ones on the right, there's only one of them that has an offset. You see this offset of one, is the same as that value right here. So this frequency, this sine wave is offset by a value of one, so this one has to be that frequency spectrum there. And then of the other two, if we look at them, this one has a low frequency that kind of dominates. And this one, the higher frequency dominates. So, off over on, on this synch, the low frequency dominates here and here the high frequency dominates so, they look like this. right there and then like that, so this is how they match up. So, just to summarize here, I looked first at any that had DC components and that corresponds to an offset and then I really looked at what the frequencies were. Since these two had the same frequencies, the only difference was their amplitudes and in which case, which one dominated. This one, the high frequency would dominate and this one, the low frequency would dominate. Thank you.