$(1)$ Given the following logical propositions:

$p$ : "Sara will sleep early." $,q$ : "Sara will eat at home." $,r$ : $"$It will rain." Answer the following.

$($a$)$ Write in symbolic form. $[1$ mark$]$

Either Sara will eat at home or sleep early unless it will rain.

$q,$

$($b$)$ Write the converse in symbolic for : Sara neither eats at home nor sleeps early when it will rain. $[1$ mark$]q,$

$($c$)$ Write in English using only if for : notpvvq$r[1$ mark$]$

$q,$

$(2)$ Let $P(x,y)$:$x$ plays in $y,A(x)$:$x$ is athletic $",$ S$($x$)$: $"$x is smart", $E(y)$:$y$ in English league" $,$ and $F(y)$ : $"$y ia famous". Assume the domain of $x$ is all players and $t$ domain of $y$ is all football teams

Answer the following:

$($a$)$ Write the symbolic for : Some smart and athletic players play in some English league teams mark$]q,$

$($b$)$ Write the English for : Ronaldo