Determine the Nyquist sampling rate and the Nyquist sampling interval for the signals:

$($a$)$ sine $($ l O$0$nt$)$

$($b$)$ sinc$2(1001$f t$)$

$($c$)$ sine $($ l O$0$n t$)+$ sine $(50$nt$)$

$($d$)$ sine $($ l O$0$n t$)+3$ sinc$2(60$n t$)$

$($e$)$ sine $(50$n t$)$ sine $(1001$f t$)$