$3)(5$ pts$)$ FFT basics

a$)$ Given a sampling rate of $100$ Hz $,$ what's the maximum resolvable frequency?

b$)$ Given a sampling interval of $10$ s $,$ what's the lowest resolvable frequency $($not counting DC$)?$

c$)$ If you want to resolve $10$ and $11$ Hz $,$ what parameters must you set $($think sample rate and$/$or sample length$)?$

d$)$ Given sample time of $10$ s $,$ sample rate of $1$ kHz $,$ write a MATLAB$-$style expression for the vector of frequencies associated with the FFT$.$