In the questions below you need to find constants c and n0 such that given statement is true. (a) Show that f (n) = n^2 + 10 O(n3) (b) Show that n! O(n^n) (c) Show that f (n) = 3n^3 + 7n + 10 (n^3) (d) Show that 1^2 + 2^2 + 3^2 + ..... + n^2 O(n^3). 1