For each of the following functions, indicate whether f=O(g),f=(g) or f=(g). Please justify your answers for (d) and (e) using the definitions of big-O notations. Please specify the constants c and n0 in your proofs. (a) f(n)=100ng(n)=n1.1 (b) f(n)=n3+2n2+10g(n)=(log2n)5 (c) f(n)=2ng(n)=nn (d) f(n)=nlog2(n3)g(n)=nlog2n (e) f(n)=22ng(n)=3n