$CD$ABC

ACD$B$

$ECD$

Given is the relation R: $\{[A,B,C,D,E]\}.$ The following functional dependencies apply:

$($a$)$ The relation R has ONE candidate key. Identify it and briefly justify your answer.

$($b$)$ What is meant by a 'canonical cover'? What purpose does the formation of a canonical cover serve in the design of database schemas?

Based on the example data shown in the table above from the health center, illustrate each of the following data anomalies with a specific example:

A$.$ insertion anomaly

B$.$ update anomaly

C$.$ deletion anomaly.

Example Health Center Table

$\backslash$table$[[$PatientID$,$PatientName,DoctorID,DoctorName,AppointmentDate,Department,RoomNumber$],[1,$John Doe,$101,$Dr$.$ Smith,$2024-07-01,$Cardiology,$201],[2,$Jane Smith,$102,$Dr$.$ Johnson,$2024-07-02,$Neurology,$301],[3,$Alice Brown,$101,$Dr$.$ Smith,$2024-07-03,$Cardiology,$201],[4,$Bob White,$103,$Dr$.$ Davis,$2024-07-04,$Orthopedics,$401]]$