Consider the following relations:

Vertex = {(V0), (V1), (V2), (V3)}

arcs = {(V0, V1), (V1, V2), (V2, V3)}

Student = {(Bill),(Sara),(John),(Mary)}

enroll = {(Bill, 3311), (Bill,3141), (Bill, 4411), (Sara, 4311), (Sara, 4321), (John, 5311), (John, 5321), (John, 5090), (John, 5411), (Mary, 4311), (Mary, 5321), (Mary, 4411), (Mary, 5461)} Please compute the following relations:

1) ^arcs

2) *arcs

3) Vertex.arcs

4) ^enroll

5) Mary.enroll

6) Student.enroll