Consider the following two regular expressions:

$($a$)(1|)$

$($b$)1^{**}(110{)}^{**}0+$

Let the language defined by the first regular expression be A and the language defined by the second be B$.$

For each of the following, find a string that satisfies the stated requirements:

In A but not B$.$

$0.\mathrm{.}0$ doesn't start with $1,$ ends with $0$

$0\mathrm{.}1$ doesn't start with $1,$ doesn't end with $0$

$1.\mathrm{.}0$ starts with $1,$ ends with $0$

$1.\mathrm{.}1$ starts with $1,$ doesn't end with $0$