Part $2$: Functional Dependencies and Normalization $(19$ Points$)$

Consider the following relation $R(A,B,C,D,E,F)$ and functional dependencies $F$ that hold over $R.$

$\}$

$CD,A$

$DE$

$\{A,DF$

$2\mathrm{.}1(4$ Points$).$ Determine all candidate keys of $R.$

$2\mathrm{.}2(7$ Points$).$ Compute the canonical cover of $F.$ Show each step of the generation according to the algorithm shown in class.

$2\mathrm{.}3(4$ Points$).$ Apply the $3$NF decomposition algorithm to relation $R.$

$2\mathrm{.}4(4$ Points$).$ In what normal forms is relation $R?$

Please answer ALL parts thank you