Check the attachment,Solve the following with an easy explanation of the reason for each ranking. Also explain how one can easily tell which is faster: Rank these $1-5($Fastest $=1,$ Slowest $=5)$: $-\backslash$theta $($n$^(1$g$)$n$)-\backslash$theta $($n$^(2)$lgn$)-\backslash$theta $($ng$^(2)$n$)-\backslash$theta $($nlgn$^(2))-\backslash$theta $($lg$^($n$)$n$)-\backslash$theta $($lgn$^($n$))-\backslash$theta $($nlgn$)$ Rank these $1.-7($Fastest $=1,$ Slowest $=7)$: $-\backslash$theta $($n$^(1$gn$))\backslash$theta $($lg$^($n$)$n$)-\backslash$theta $(1$gn$^($n$))\backslash$theta $($nlgn$)-\backslash$theta $($n$^(2)$lgn$)-\backslash$theta $($lg$^(2)$n$)$