Please help me to solve these questions? Database class. Thank you...

I'd like some properties for my functional dependencies please. Select all the FD's that follow from Armstrong's Axioms* if X rightarrow Z rightarrow W, then XZ rightarrow YW if X rightarrow Y and WY rightarrow Z, then WX rightarrow Z if X rightarrow YZ, then X rightarrow Y and X rightarrow Z if XZ rightarrow YZ, then X rightarrow Y if X rightarrow Y and W rightarrow Y, then X rightarrow W We have a relation R(A, B, C, D, E). We are told that the set of functional dependencies is F = {E rightarrow BC, A rightarrow B, C rightarrow D, AD rightarrow C}. Find the attribute closures for each of the attributes. If the attribute closure for X was WXZ, you would fill in "WXZ" without quotes in the answer box. We will be grading with a script so *please submit your answers in alphabetical order* and without any whitespace. A+:*___________B+: *____________C+:*_____________D+:*___________E+:*_____________Select the attribute set(s) that are keys for relation R * E ABC BCD ACE ABCDE