For the following 2 problems also provide a plot of both functions, and label n0 on each plot (two different plots). They may be hand drawn neatly, or done in excel, or python (or anything you want).

13. EXAMPLE Show that 12n + 5 is O(n)

12n+5<=c*n

n0=1

12(1)+5<=c*(1)

17<=c

c=17

Thus 12n+5<=17n

DO it this way for the following problems

14. Show that 24n4 25n3 + n2 12 n is O(n4)

15. Show that 4n log n + 4n + 10 log n is O(n log n)