Identify and compare the order of growth: Identify if the following statements are true or false. Prove your assertion using any of the methods shown in the exploration. Draw a rough graph marking the location of c and n$0,$ if the statement is True. $[$A generic graph would do for this purpose. You don$$t have to find the values of c and n$0.$ On the graph you can just write c and n$0$ without mentioning their values. The idea is that you know how it looks graphically.$].$

a$.$ n$($n$+1)/2$ in O$($n$3)$

b$.$ n$($n$+1)/2$ in $\backslash$Theta $($n$2)$

c$.10$n$-6$ in $\backslash$Omega $(78$n $+2020)$

d$.$ n$!$ in $\backslash$Omega $(0\mathrm{.}00001$n$)$