Given R(A, B, C, D, E,} with function dependencies {A rightarrow B, BC rightarrow DA, BD rightarrow C, E rightarrow A, AC rightarrow DE} Find all candidate keys. (Number each candidate key for credit and show your work for credit). What attributes of F are prime? For R = {A, B, C, D, E, F, G, H, J} and the set of functional dependencies F = {A rightarrow D, BC rightarrow EJ, BD rightarrow AE, E} rightarrow ADE rightarrow H, HD rightarrow J} Are the FDs AB rightarrow C and AE rightarrow G implied by F? (You should indicate whether each FD is implied or not implied by F and you must show your work for credit.)