1. (10 points) Rank the following functions by order of growth, from slowest-growing to fastest-growing. That is, find an arrangement f?, .i of the following functions satisfying fi E O(f), f2 E O(s), etc. Hint: Try applying the rules of Theorem 1.7 6nlog n 210log log n log 2gn 3Vn 0n2logn 5logn 5n n