Please give brief explanation. Thank you!

1. [5 pts.] The asymptotic growth rate (circle your answer) (a) of 40n log n3n is lower than] [the same as] [higher than]of n log n (b) of n2 + 100n is lower than] the same as [higher than] (c) of 5n 50 log n is lower than] [the same as higher than (d) of ni0 is lower than the same as] higher than] (e) of 215 is lower than [the same as] [higher than] of 2log n of 2log n of 2n of 2n 2. [5 pts.] Consider the function f(n) 5200n log n(5) 2+3+n3. Which of the following provides the tightest/best characterization of f(n)? Circle and justify your answer (b) (2n) (c) (2n) (d) e(n3)