True or False?

NOTE: You should use the true (not abused) meaning of Big-O (and Big-Omega), not just the tightest bound.

Explanation (Proof)

Prove your answer for 11 - 15 only, using the definition of Big-Theta. Clearly state what c and you choose for the True answer (these constants do not have to be the same for big-O and big-Theta) or explain why such constants can not be chosen.

Questions O(ns) 1. 10000m3 log n 2. 8000m2 ns n O(n2) 3. 2" n! O(3") O(n4) n4 100n 6. n2 log2 n2 S2(n) 2 (n') 7. n 8. log(log n'a) log n S2(log n) 9. 2(1) 10. n log 11. Vn n O(n log n)