answer all questions for a like.

4.1) (3 Points) Given the following information, for each one of the BOLD words (note there are 3 in each one), specify whether the word will be mapped into an entity, attribute, relationship, or value in the corresponding database. a) Professor Smith teaches three courses. b) The make of my Red automobile is Ford. 4.2) (5 points) Assume we have two relations R(a,b) and S(b,c). All three attributes (a,b, and c) are integer attributes. Assume that Relation R contains the following tuples: (1,2),(2,3), and (3,4). Assume that Relation S contains the following tuples (2,2),(2,3),(4,6),(3,9) and (7,1). a) (1 Points) Give an example of an attribute (or a combination of attributes) that cannot be a primary key for relation S, why? b) (1 Points) How many tuples are in the result of the Cartesian Product between R and S ? c) (1 Points) How many tuples are in the result of Natural Join between R and S? d) (2 Points) Show the output of the following query SELECT a FROM R,S WHERE R. b=s,b and S,c>2