Question #$4$: Consider a relation R $($A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$)$ with the following functional

dependencies:

$AB$

$CAD$

$CEB$

$EFC$

a$)$ Is $R$ in the Third Normal Form, if yes explain why, if not normalize it into the Third Normal

form.

b$)$ Is there a dependency preserving BCNF decomposition of R$?$ Explain your answer.