Using the lowest order possible, find the transfer function H(s) and plot the magnitude response |H(jω)| for a lowpass Butterworth filter that satisfies α p ≤ 3 dB, α s ≥ 14 dB, ω p ≥ XXXXXXXXXXrad/s,...

Using the lowest order possible, find the transfer function H(s) and plot the magnitude response |H(jω)| for a lowpass Butterworth filter that satisfies α_p
≤ 3 dB, α_s
≥ 14 dB, ω_p
≥ 100000 rad/s, and ω_s
≤ 150000 rad/s. It is desirable to surpass, as much as possible, the requirement of αs. Determine the actual specifications α_p, α_s, ω_p, and ω_s
of your design.