b) Let I be the set of all integers. For each of the following determine whether * is an associative operation or not : i) a*b = max(a,b) ii) a*b = min(a + 2,b) iii) a*b = 2a - 2b iv) a*b = min(2a - b, 2b - a) v) a*b = LCM(a,b) vi) a*b = a/b vii) a*b = power(a,b) viii) a*b = a2 + 2b + ab