We will use the database schema from the SQL assignment (with the same constraints): student sid course cid prerequisite cid pre cid record sidcid quarter year grade Consider the following queries (the second is from the SQL assignment): 1. List the students who have taken all prerequisites for CSE132X. 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 for which all its prerequisites have been taken by every student who has taken CSE132A. The answer should have one attribute cid. 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 3 (iii) write the SQL query corresponding directly to the relational calculus query in (ii), that uses only NOT EXISTS tests on nested queries We will use the database schema from the SQL assignment (with the same constraints): student sid course cid prerequisite cid pre cid record sidcid quarter year grade Consider the following queries (the second is from the SQL assignment): 1. List the students who have taken all prerequisites for CSE132X. 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 for which all its prerequisites have been taken by every student who has taken CSE132A. The answer should have one attribute cid. 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 3 (iii) write the SQL query corresponding directly to the relational calculus query in (ii), that uses only NOT EXISTS tests on nested queries