I have exam

Given the following tables : Works (person name, company name, salary) Lives (person name, street, city) LocatedIn (company name, city) Managers (person name, manager name) Note: manager name refers to person name. Answer the following questions: 1- List the names of the persons who work for company 'AAA' along with the cities they live in. 2- Find the names of the persons who do not work for company 'AAA'. 3- Find the names of the persons who live and work in the same city. (a) Find the real non zero numbers a, b and C such that the vector field F(x, y) = x'y" i + x"yj is conservative vector field. (b) Evaluate a nonzero function h for which F(x, y) = n(x)(xsin y + y cos y)i + h(x)(x cos y - y siny) is conservative