Construct Butterworth low-pass and high-pass transfer functions whose cascade connection produces a bandpass function with cutoff frequencies

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Construct Butterworth low-pass and high-pass transfer functions whose cascade connection produces a bandpass function with cutoff frequencies at 20 and 500 rad=s, a passband gain of 0 dB, and a stopband gain less than −20 dB at 5 and 2000 rad=s.

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