Please rank the following functions by their rate of growth and prove your answer.

All of the terms in a growth function contribute to the order of the function   A. True B. False

Which of the following time complexities indicates the slowest growing function?

For each of the following pairs of functions, indicate whether the first functionof each of the following pairs has a lower, same, or higher order of growth (towithin a constant multiple) than the second function.a. n(n + 1) and 2000n2 b. 100n2 and 0.01n3c. log 2 n and ln n d. log 22 n and log 2 n2e. 2n−1 and 2n f. (n − 1)! and n!

A growth function that is O(n) is ____________________   A. constant B. logarithmic C. linear D. quadratic E. exponential

List the following functions according to their order of growth from the lowestto the highest:(n2 + 3)!, 2 lg(n + 50)5, 33n , 0.05n10 + 3n3 + 1, ln 3 n, √n, 32n