$1.$ Most music is typically between $30$ Hz and $3$ kHz $.$ The electricity grid is at $60$ Hz $.$ Sometimes, a badly designed power supply for a stereo will inject a $60$ Hz hum into the music, thus degrading it$.$ We wish to use the following high pass filter to eliminate that noise:

a$.$ What would be a reasonable cutoff frequency? $[5$ points$]$

b$.$ Given the cutoff frequency you stated above, what value of s$.$ should we use? $[5$ points$]$

c$.$ What is the rolloff of this filter? $[5$ points$]$