$6]$ Suppose you have a relation with five attributes, R$($A$,$ B$,$ C$,$ D$,$ E$).$ Suppose the functional dependencies

$AC,BD,DEA$

hold over this relation.

What is the closure of $A?,A^{+}=\{AC\}$

What is the closure of D$?,D^{+}=\{D\}$

What is the closure of $BE?,B{E}^{+}=\{BE\}$