Take the following functions and arrange them in descending order of growth rates. That is, if a function gi(n) immediately follows function gj (n) in your list, then it should be the case that gi(n) = O (gj (n)). Justify your answer clearly. g1(n) = 2 (log n) 1/3g2(n) = 2 n 2g3(n) = n 5/3g4(n) = √log n log log ng5(n) = n(log n) 2g6(n) = 2 (11/9) ng7(n) = (log n) log n(b) Give examples of two continuous functions f(n) and g(n) of positive real inpputs n such thatf(n) 6= O(g(n)), g(n) 6= O(f(n)), f(n) 6= Ω(g(n)) and g(n) 6= Ω(f(n)).