prove or disprove the following statements, using the relationship among typical growth-rate functions

please only answer parts c,d,e,f /// IN PLAIN TEXT (no hand writing)

a) n16log n + nis O(n log n) b) 157n3 + 5n+ + 8000000n + n is (ns) c) n" is 12 (n!) d) 0.01n + 800000n' is O(n) e) n14 + 0.0000001n is 2n18) f) n! is (31)