$1(32$ pts$)$ Complete the following table by writing $"$T$"$for true or $"$ F "for

false in each box. No justification required.

$2(8$ pts$)$ Give a big$-$ estimate for each of the following functions.

$f(n)=(n^5+2^n)(5n+log(n^5+1))$

$f(n)=(nlogn+n^2)(n!+n{2}^n)$