$(12$points$)$ Take into consideration the following schema and write the Relational Algebra statement for the following:

Faculty $($facId$,$ name, department, rank$)$

Class $($classNo$,$ factId, schedule, room$)$

Student $($stuId$,$ lastName, firstName, major, credits$)$

Enroll $($stuId$,$ classNo, grade$)$

Write the Relational Algebra statement for the following:

a$)$ Find all information in the Student table about student with stuID Sio$19.$

b$)$ Find classes that meet in room C$1055.$

c$)$ Find all math majors who have more than $35$ credits.

d$)$ Find all the different majors that students have.

e$)$ Find the rooms where each faculty member teaches.

f$)$ Show the names and IDs of all CS majors.

$9.(8$points$)$ Using the following two tables, display the resulting relations from the specified set operations.

Main$\_$Faculty

$\backslash$table$[[$facID$,$Name,Department,Rank$],[$F$101,$Adams,Art,Professor$],[$F$105,$Tanaka,CSC$,$Instructor$],[$F$221,$Smith,CSC$,$Professor$]]$

Branch$\_$Faculty

$\backslash$table$[[$facID$,$Name,Department,Rank$],[$F$101,$Adams,Art,Professor$],[$F$110,$Byrne,Math,Assistant$],[$F$115,$Smith,History,Associate$],[$F$221,$Smith,CSC$,$Professor$]]$

a$)$ Main$\_$Faculty $$ Branch$\_$Faculty

b$)$ Main$\_$Facutly $$ Branch$\_$Faculty

c$)$ Main$\_$Faculty $-$ Branch$\_$Faculty

d$)$ Branch$\_$Faculty $-$ Main$\_$Faculty