For the signal f(t) = 3 sin8t + 6sin12πt + sin14πt, the minimum sampling frequency (in Hz) satisfying the Nyquist criterion is

753. For the transfer function (TF) 4s/(s+9) and resulting Bode Plot, calculate the gains (dB) at the corner, one decade below, and one decade above. Also calculate the phase (deg) of the TF at the same three frequencies. Last answer is w_corner (rad/sec) ans:7 Repeat Ex. 753 using asymptotic approximations. ans:6

First, I'm trying to use the MATLAB or SciPy function ellipap to find the poles, zeros, and gain for a third-order normalized elliptic lowpass filter with 2 dB ripple in the passband and stopband ripple that has an upper limit of -50 dB. I think I got this part right.  Then using one of the programs I need to find the coefficients of the numerator and denominator of the transfer function. Then I need to plot the frequency response.  I understand how to use the program for the first part, but I'm unsure how to find the second part. Could you share with me how to approach this?  Thank you for your time and help

thanks again in advance

Circle final answer & Answer it in rad/s. Keep three significant figures.