$2.$ Please determine asymptotic relation between the following $($only Big O$,$ theta and Omega$).($Any upper limit would be considered big$($O$))$

f$($n$)$ and g$($n$)$

$2$n$^2+4$n$+1$ and n$^3/1000$

$32^$log n and n$^3$

log$($n$!)$ and nlogn

n$^2$ logn

$8^($logn$)$