$1.(1$ Point$)$ Write a relational algebra expression that returns the titles of all the courses with more than $3$ credits from the EE department. $2.(2$ Points$)$ Write a relational algebra expression that returns for each student, their name and the title of courses they have taken from their major, i$.$e$.,$ where the course$$s dept is equal to the student$$s dept. $3.(2$ Points$)$ Write a relational algebra expression that returns the title and dept of courses that do not have any prerequisites. $4.(3$ Points$)$ Write a relational algebra expression that returns for the two students with sid $001$ and $002,$ the cid of courses that only one of them has taken. $5.(4$ Points$)$ Write a relational algebra expression that returns for EVERY student, their sid $,$ name and the number of failed credits as failedcredits $.$ The failed credits for a student is the sum of credits of courses in which they have scored a gradepoint of less than $2\mathrm{.}0.$