We will use the database schema from the SQL assignment student sidcourse cid prerequisite cid pre cid record sid cid qtr year grade Consider the following queries (from the SQL assignment) 1. List the students who have taken all prerequisites for CSE132X with a grade of 2 or higher. The answer should have one attribute sid. Note that, if CSE132X has no prerequisites, then all students should be in the answer 2. Find the courses taken by every student who has taken CSE132A Note that, if no student has taken CSE132A, then all courses should be in the answer For queries (1) and (2) do the following: (i) write the query in relational calculus using (at least one) universal quantification V (ii) rewrite the query in (i) in using only existential quantification (iii) write the SQL query corresponding directly to the relational calculus query in (ii), that uses only NOT EXISTS tests on nested querics