Questions:
1. In each of parts (a) and (b), an operation *is defined over the set of natural numbers.
For each operation, determine:
(i) 3*2
(ii) if the set of natural numbers is closed with *
(iii) if* is commutative
(iv) if* is associative
Prove your answers sufficiently.
(a) a*b=2a+b
(b) a*b=ab2