I need this solution to check my answers. I will give a thumbs up for clear, correct work. Thanks

For this question, assume the following relational schema. STUDENT(SID, Name, Dept, DOB, EMAIL) COURSE(CID, Name, Dept, Prof) TAKE(UUID, SID, CID, Semester) Given this, write the following queries in the Relational Algebra using only the basic operations of Cartesian Product (x), Selection (0o), Projection (Nx), Union (U), and Difference (-). You may assume the renaming convention used in class (e.g. R.A) or use the p (renaming) operator as well. 1. Find the names of students in the ECE department. 2. Find the names of courses who have been taught by Professor Frink. 3. Find the names of students who have taken a course in the ECE department. 4. Find the names of students who have taken at least two courses in the ECE department. 5. Find professors who have taught exactly three (different) students named John. 6. Find departments that offered at least four courses during the semester Spring 2020. 7. Find students who have taken exactly the same courses. (Your query should return pairs of SID's.)