Part 2) Let f1 and f2 be asymptotically positive non-decreasing functions. Prove or disprove each of the following conjectures. To disprove give a counter example. a. If f1(n) = O(g(n)) and f2(n) = O(g(n)) then f1(n)= ? (f2(n) ). b. If f1(n) = O(g1(n)) and f2(n) = O(g2(n)) then f1(n)+ f2(n)= O(max{g1(n), g2(n)} )