QUESTION $5$

State which variables are free and bound in the given quantified sentences.

$5\mathrm{.}1$ AAxEEy$(P(x{)}^{{?}^{?}}Q(y))$

$5\mathrm{.}2$EEx$(P(x{)}^{{?}^{?}}$AAy$(Q(y)x=y))$

$5\mathrm{.}3$AAyEEx$(P(x{)}^{{?}^{?}}Q(y))$

$5\mathrm{.}4$EEy$(P(x{)}^{{?}^{?}}$AAx$(Q(y)x=y))$