Decide if each of the following statements is true or false and give a proof. You need to identify the values for the constants c and n$0$ as used in the definitions of big$-$O$,\backslash$Omega and $\backslash$Theta $.$ Decide if each of the following statements is true or false and give a proof. You need to identify the values for the constants c and no as used in the definitions of big$-$O$,12$ and O$.$ a$)2$n$+$a is O$($n$2),$ for a being a positive constant b$)22$n$+$a is O$($n$2),$ for a being a positive constant c$)\{"\_$ko is O$($n$^)$ d$)\{"\_,$ kis $0(13)$ k$=1$ e$)(2$n$+8)$log$($n$10)$ is O$($nlog$($n$))$ f$)(2$n$+8)$log$($n$10)$ is O$($nlog$($n$))$