5. For each of the following questions, answer how the given two func- tions compare asymptotically. a. Polynomial, logs and exponential: i. n1 and 2 i. (n+3)6 and (1.05)" ii. (1.05) and (1.06) iv. 2n^2 and 10" v. n100 and 2 vi. n2 and (log n)80 vii. n log n and nlog log log n vii. n and (log n)3 (log log n) b. Factorial/Combinatorial i. n! and n6 ii. C(n,n/3) and n4 c. Floors and Ceilings i. (ceil n)3 and (floor n)*