1. Prove by example the following relational algebra property: (5 points) ((R))=>(R) as long as contains the attributes in You may use the COMPANY schema or another other schema of your choice. 2. Use the reduction to relational schemas techniques you learned in chapters 12 and 13 to translate the following EER diagram to a collection of relational schemas. (5 points) Consider the following relation and answer the questions that follow: CAR_SALE(Car\#,Date_sold,Salesman\#,Commission\%,Discount_ amt,Price) Assume that { Car\#,Salesman\# } is a composite primary key. Additional dependencies are: Date_sold Discount_amt Salesman\# Commission % 3.1 Draw the First Normal Form (1NF) dependency diagram for this relation showing all dependencies including partial and transitive dependencies. (1 point) 3.2Convert the relation to Second Normal Form (2NF) and draw the dependency diagrams. (2 points) 3.3 Convert the relations you obtained in step 3.2 to Third Normal Form (3NF) and draw the dependency diagrams. (2 points)