Can someone please answer this by Friday?

Given the following list of functions, determine the order of growth of each using big-Theta

notation and put all the functions in order from slowest-growing to fastest-growing. Be sure to

put functions of equal growth rate on the same level. Unless otherwise noted, you can assume all

logarithms are base-2.

1. 8nlog(4n) + 8n2

2. 2nlog(log(16n)) + n + log(log2)

3. 5000

4. n4 + 7n3log(nn) + 4n!

5. 2n + n2 + 1000

6. log(4n2 ) n 00n + 3 3 + 1

7. 1

8. 8log(24n) + 10log(2n)

9. 8n5log(5n3) + 7n + 200n4

10. 4log(n3)

11. 100log(2n)log(n6) + 23

12. 8nlog(log( n )) n 2log(logn)

16 + 5 + 3

13. 9log(log(8n))log(n2)n2