Please fill in the blanks for the definitions specified below. (a) and are some of the (non) commercial Database Management Systems. - 3 points. (b) Relational Data Model is based on the theory in Math. -2 points. (c) Consider two relations called Rs and R2. The number of tuples in Rs and Rz are ti and tz respectively. The number of attributes of R. and Rz, on the other hand, are ni and nz. (tu, tz, na, n2 >= 1). Fill in the blanks with formulae containing ti, tz, ni, nz, functions, and constants. Each correct answer - 2 points. If we apply RESTRICT operator to the relation R, the result will contain a minimum of and a maximum of tuples. The result relation will have a minimum of and a maximum of attributes. If we apply PROJECT Operator to the relation R2, the result will contain a minimum of and a maximum of tuples. The result relation will have a minimum of maximum of attributes. and a Assuming that Rs and Rz are union-compatible, If we UNION R1 and Rz relations, the result will contain a minimum of and a maximum of tuples. The result relation will have a minimum of and a maximum of attributes. if we @JOIN R1 and R2 over an attribute (or a set of attributes), the result will contain a minimum of and a maximum of tuples. The result relation will have a minimum of and a maximum of attributes