As an Electrical Engineering junior, you are tasked by your Catamount Radio Club to design an amplifier to interface with a Shure SM$58$ XLR dynamic $($moving coil$)$ microphone with the radio transceiver that takes an audio signal input. The Shure SM$58$ produces a differential voltage signal with an open circuit voltage amplitude of $+-0\mathrm{.}15mV$ and has an output impedance of $300.$ The radio transceiver requires a signal voltage of at least $0\mathrm{.}1$ V and has an input impedance of $1k.$ You've decided to use a single op$-$amp difference amplifier to do the job.

$($a$)(10$ points$)$ Draw an AC coupled single op$-$amp difference amplifier circuit, including your Shure SM$58$ as the signal source and the radio transceiver as your load.

$($b$)(10$ points$)$ Pick the component values to achieve the needed overall signal gain.

$($c$)(10$ points$)$ For a voice signal with $3$ kHz signal bandwidth, what would be needed minimum specifications for the op$-$amp's gain$-$bandwidth product and slew rate?