Explain using big theta.

2. (20pts) This question concerns the asymptotic relations between functions; you can assume that all logarithmic functions are in base 2. Sort the following functions in an asymptotically non- decreasing order of growth using big-oh and big-theta notations. Again, you must justify your answers, otherwise no credit. og n b. 2(6n) c. 2nlog n d. n4 e. n2n f. (n 1)n! g. 8logn h. log(n2) i. (log n)2 j. 210000 k. 2(4)