Give the Big O estimate of the following functions. Simplify the function and find the highest order term in it. You dont need to find constants c and n0 in this problem. (a) f (n) = 5n^5 4n^4 + 3n^3 + 2n^2 + n 1. (b) f (n) = (n^3 (log(n))^3)(n^2 log(n)) + 11n^3. (c) f (n) = (5n^4+10n^3100n^2n1)/6n^2 . (d) f (n) = log(n^3 + n + 10) + n^2 log(n + 4) (e) f (n) = (n log(n) + 1)^2 + (log(n) + 1)(n^2 + 1) (f) f (n) = log(((5n^5 + 7n^3 + 10)^2)*(3n^3 + 4n + 10))