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Forming Nyquist Plot from magnitude and phase transfer function graphs?

So the solution is present above, but I'm having issues understanding the Nyquist Plot. So here's what I know from the magnitude and phase graphs: At \$\omega = 0\$, \$G = |\infty|\$ At \$\omega ...
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What could be the potential reasons for an unstable DAC output like this?

I am simply using a DAC and trying to generate a DC voltage with it. However, the output is unstable from time to time, with very strange diagram on the scope. The diagram is as below. Could I ask ...