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) = Theta(g(n)) and f2(n) = O(g(n)) then f1(n)= Omega(f2(n) ). b. If f1(n) = O(g1(n)) and f2(n) = O(g2(n)) then f1(n)+ f2(n)= O(g1(n) + g2(n) )