For each of the following functions, express its rate of growth using big-O notation with the simplest functions you can (i.e. O(n*) instead of O(3n + 2n)). Prove your answer by finding constants which satisfy the definition of big-O notation (in other words, find the exact functions which act as upper bounds in the definition of big-O). All logarithms are base 2. a) f(n) = 5n? 3n + 20 b) f(n) = log(n* + 0.5n + 10) c) f(n) = 3cos(n)+2n n2 - 3n + 2 d) f(n) =