a. Polynomial. Since $0.01n^{3/2}$ is the dominating term.

b. Logarithmic. Since n! can be replaced with $n^n$

c. Exponential. $1.01^n$ is dominating term here.

d. Polynomial.

e. Logarithmic.

f. Polynomial

b. Logarithmic. Since n! can be replaced with $n^n$

c. Exponential. $1.01^n$ is dominating term here.

d. Polynomial.

e. Logarithmic.

f. Polynomial