$1.$ Let $=\{0,1\}.$ For each of the following, construct a regular expression R such that $($a$)$ L$($R$)=.($b$)$ L$($R$)=\{$$\}.($c$)$ L$($R$)=\{$x in $|$ x contains exactly two $1$s$\}.($d$)$ L$($R$)=\{$x in $||$x$|2,$ x starts and ends with a $0\}.($e$)$ L$($R$)=\{$x in $||$x$|2,$ the second symbol of x is a $1\}.($f$)$ L$($R$)=\{$x in $||$x$|2,$ the second to last symbol of x is a $1\}.($g$)$ L$($R$)=\{$x in $|$ x is non$-$empty and the first symbol is a $1$ and every other symbol after the first is also a $1\}.($h$)$ L$($R$)=\{$x in $|$ x contains at least two $0$s or contains exactly two $1$