Part 3B only

Suppose T1(N) is O(f(N)) and T2(N) is O(f(N)). Which of the following are always true (for all T1,f, and T2 )? a. T1(N)/T2(N) is O(1) b. T1(N)T2(N) is (f(N)) (notice here we are using "big-Theta") c. T1(N)+T2(N) is O(f(N)) d. T1(N) is O(T2(N)) You do not need to prove an item is true (just saying true is enough for full credit), but if an item is false need to give a counterexample to demonstrate it is false. To Page 1 of 3 give a counterexample, give values for T1(N),T2(N), and f(N) for which the statement is false (for example, you could write, "The statement is false if T1(N)=100N, T2(N)=2N2 and f(N)=N3,. Hints: Think about the definitions of big- O and big