Written Assignment (Homework) #2 (10-point) Convert the following ER diagram into a relational database schema: S FirstName S LastName S ID student S Major takes C ID course C Room C Name C InstName relational algebra (90-point) Express the following queries on the above (20-point each) and relational calculus (10-point each): 1. Find names of all students who take at least two courses taught by Peterson but take only one course from Davidson. 2. Find S_IDs of the students who take all courses taught by Davidson. 3. Find al instructors (C InstNames) who currently teach at least three courses Please submit legible answers