Problem 3: [10 points] For each of the following pairs of functions f(n) and g(n), state whether f(n)O(g(n)),f(n)(g(n)),f(n)(g(n)), or none of the above. Briefly explain your reasoning. (a) f(n)=2n3+3n+4g(n)=57n+75 (b) f(n)=lg(2n+1)g(n)=23n (a) f(n)=1002nn2+3ng(n)=5n4+3n2+7