Prove that the following languages Ri are not regular using the Contrapositive form of Pumping Lemma. a$)$ L$2=\{$xp $($yz$)$q : p $$ q $0\}$ b$)$ L$3=\{0$ x$!|$ x $0\}$ c$)$ L$4=\{$xx $|$ x $\{$a$,$b$\}*\}$ d$)$ L$5=\{0$ p$1$ q $|$p$,$ q $0,$ and $|$p $$ q$|$ is a prime$\}$ e$)$ L$6=\{$xx$\text{'}|$ x in $\{$a$,$ b$\}*\},$ where a $\text{'}$ denotes w with every occurrence of a replaced by b$,$ and vice versa. f$)$ L$7=\{$x is of the form p@q$,$ where p$,$ q in $\{0\}+$ and q $=$ p$+1\}$