(Note for Question 2 and Question 3, provide relational algebra expressions (step by step (explain each step in plain English too) as we did in class) 2. Given following schemas STUDENT(S#, SNAME, DEPARTMENT), COURSE(C#, CNAME, INSTRUCTOR), and SC(S#, C#, GRADE), write relational algebra expressions for the following queries. (a) Find the names of all students who have taken every course taught by Prof. Wolfson (b)Find the IDs of all students who have never taken any course taught by Prof. Wolfson (c) Find the IDs of all courses which have never been taken by any student who has taken at least one course taught by Prof. Wolfson (d)Find the IDs of all students who have only taken courses taught by Prof. Wolfson (e) Find the IDs of all courses satisfying following conditions: (i)they are taught by Prof. Wolfson; and() all students who have taken the course get a grade C or above. (Note for Question 2 and Question 3, provide relational algebra expressions (step by step (explain each step in plain English too) as we did in class) 2. Given following schemas STUDENT(S#, SNAME, DEPARTMENT), COURSE(C#, CNAME, INSTRUCTOR), and SC(S#, C#, GRADE), write relational algebra expressions for the following queries. (a) Find the names of all students who have taken every course taught by Prof. Wolfson (b)Find the IDs of all students who have never taken any course taught by Prof. Wolfson (c) Find the IDs of all courses which have never been taken by any student who has taken at least one course taught by Prof. Wolfson (d)Find the IDs of all students who have only taken courses taught by Prof. Wolfson (e) Find the IDs of all courses satisfying following conditions: (i)they are taught by Prof. Wolfson; and() all students who have taken the course get a grade C or above