plz solve all of them or let someone else do them

1. Prove by example the following relational algebra property: (5 points) I((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) 3. Consider the following relation and answer the questions that follow: 3. 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) Figure 5.6 One possible database state for the COMPANY relational database schema. EMPLOYEE \begin{tabular}{|l|c|l|c|c|c|c|c|c|c|} \hline Fname & Minit & Lname & Ssn & Bdate & Address & Sex & Salary & Super_ssn & Dno \\ \hline John & B & Smith & 123456789 & 19650109 & 731 Fondren, Houston, TX & M & 30000 & 333445555 & 5 \\ \hline Franklin & T & Wong & 333445555 & 19551208 & 638 Voss, Houston, TX & M & 40000 & 888665555 & 5 \\ \hline Alicia & J & Zelaya & 999887777 & 19680119 & 3321 Castle, Spring, TX & F & 25000 & 987654321 & 4 \\ \hline Jennifer & S & Wallace & 987654321 & 19410620 & 291 Berry, Bellaire, TX & F & 43000 & 888665555 & 4 \\ \hline Ramesh & K & Narayan & 666884444 & 19620915 & 975 Fire Oak, Humble, TX & M & 38000 & 333445555 & 5 \\ \hline Joyce & A & English & 453453453 & 19720731 & 5631 Rice, Houston, TX & F & 25000 & 333445555 & 5 \\ \hline Ahmad & V & Jabbar & 987987987 & 19690329 & 980 Dallas, Houston, TX & M & 25000 & 987654321 & 4 \\ \hline James & E & Borg & 888665555 & 19371110 & 450 Stone, Houston, TX & M & 55000 & NULL & 1 \\ \hline \end{tabular} DEPARTMENT DEPT_LOCATIONS \begin{tabular}{|l|c|c|c|} \hline \multicolumn{1}{|c|}{ Dname } & Dnumber & Mgr_ssn & Mgr_start_date \\ \hline Research & 5 & 333445555 & 19880522 \\ \hline Administration & 4 & 987654321 & 19950101 \\ \hline Headquarters & 1 & 888665555 & 19810619 \\ \hline \end{tabular} WORKS_ON PROJECT \begin{tabular}{|c|l|} \hline Dnumber & Dlocation \\ \hline 1 & Houston \\ \hline 4 & Stafford \\ \hline 5 & Bellaire \\ \hline 5 & Sugarland \\ \hline 5 & Houston \\ \hline \end{tabular} \begin{tabular}{|c|c|c|} \hline Essn & Pno & Hours \\ \hline 123456789 & 1 & 32.5 \\ \hline 123456789 & 2 & 7.5 \\ \hline 666884444 & 3 & 40.0 \\ \hline 453453453 & 1 & 20.0 \\ \hline 453453453 & 2 & 20.0 \\ \hline 333445555 & 2 & 10.0 \\ \hline 333445555 & 3 & 10.0 \\ \hline 333445555 & 10 & 10.0 \\ \hline 333445555 & 20 & 10.0 \\ \hline 999887777 & 30 & 30.0 \\ \hline 999887777 & 10 & 10.0 \\ \hline 987987987 & 10 & 35.0 \\ \hline 987987987 & 30 & 5.0 \\ \hline 987654321 & 30 & 20.0 \\ \hline 987654321 & 20 & 15.0 \\ \hline 888665555 & 20 & NULL \\ \hline \end{tabular} \begin{tabular}{|l|c|l|c|} \hline \multicolumn{1}{|c|}{ Pname } & Pnumber & Plocation & Dnum \\ \hline ProductX & 1 & Bellaire & 5 \\ \hline ProductY & 2 & Sugarland & 5 \\ \hline ProductZ & 3 & Houston & 5 \\ \hline Computerization & 10 & Stafford & 4 \\ \hline Reorganization & 20 & Houston & 1 \\ \hline Newbenefits & 30 & Stafford & 4 \\ \hline \end{tabular} DEPENDENT \begin{tabular}{|c|l|c|c|l|} \hline Essn & Dependent_name & Sex & Bdate & Relationship \\ \hline 333445555 & Alice & F & 1986-04-05 & Daughter \\ \hline 333445555 & Theodore & M & 19831025 & Son \\ \hline 333445555 & Joy & F & 19580503 & Spouse \\ \hline 987654321 & Abner & M & 19420228 & Spouse \\ \hline 123456789 & Michael & M & 19880104 & Son \\ \hline 123456789 & Alice & F & 19881230 & Daughter \\ \hline 123456789 & Elizabeth & F & 19670505 & Spouse \\ \hline \end{tabular}