Please compare the grow rates of exponential function f{n) = and logarithmic function f(n) = logy nwith the following functions: f{n) = 5, f(n) = 3n, f(n) = n?, and fin) = n!, where nis a positive integer and take the range of [1, +). Please also include a plot of these functions and give your comparison with reasoning. o Natural exponential and logarithmic functions both have many applications in engineering. Please give two application examples for each type of functions. o For each example, please elaborate on how these functions are used in the problem solving process