Let $R(ABCDE)$ be a relation schema and let $F=\{ABE,EC,CED,DE,BCD\}$ be

the set of functional dependencies that are holding true on $R.$

$(3\mathrm{.}1)$ Using the computation of attribute closure ${}^{+},$ determine if each functional dependency

$$ below is in $F^{+}$or not. Note that $$ is in $F^{+}$if and only if $in{}^{+}.$

a$)ED$

b$)AB$

c$)ABD$

d$)BCE$

a$)ED$

$E^{+}=$

b$)AB$

$A^{+}=$

c$)ABD$

$A{B}^{+}=$

d$)BCE$

$B{C}^{+}=$

$(3\mathrm{.}2)$ Compute a canonical cover of F$.$ Show the steps in your computation.