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Write the relational algebra expressions for the following queries. Use the database schema given below. 1. Find the total number of students in the "Computer Engineering" department. 2. Find the total number of students by each department. 3. Find the department with the highest budget. 4. Find the instructors who taught all courses offered by the "Software Engineering" department. 5. Find the list of courses taught in Fall 2020 but not in Fall 2021. 6. Find the names of the students who took "A" from "SEN2104" in Spring 2020. 7. Find the names of the students who took "SEN2104" and "MAT3012" in Spring 2020