Specify the following queries on the database schema shown in above Figure using the relational

algebra discussed in class.

$1.$ Find name of projects controlled by department $5$

$2.$ Find the names of male employees that works for $$Research$$ department

$3.$ List department locations for department $$Research$$

$4.$ Retrieve the names of employees who work on the $$Computerization$$ project.

$5.$ Retrieve SSNs of department managers who do not work on any project.

$6.$ Find the names and addresses of employees who work on project located in Stafford.

$7.$ List the last names of employees who have no dependents.

$8.$ Find average salary of employees who works for $$Administration$$ department

$9.$ For each department number, list the total number of project controlled by the department.

$10.$ For each employee, retrieve employee$$s name, and the total hours working in projects