For the third-order Butterworth filter in Equation H(s)= with ωb=2π rad/s, find a. The poles of H(s). b. The impulse response function h(t). c. The filter output at steady state when the input is...

For the third-order Butterworth filter in Equation H(s)=
with ω_b=2π rad/s, find

a. The poles of H(s).

b. The impulse response function h(t).

c. The filter output at steady state when the input is u(t)=sin(0.5ω_bt)+sin(2ω_bt)