Question: 21 In this problem you will find O and bounds for functions. In each case you should find and report a value of C and

21 In this problem you will find O and bounds for

21 In this problem you will find O and bounds for functions. In each case you should find and report a value of C and k in the definitions of O and . (a) Determine the tightest O and bounds that you can for f(n) = V 50n+40n + log(25n) (b) Show that g(n) = (log n)" is O(n) for any nonnegative integer a Hint: Remember that log n is O(np) for all p > 0. (c) Show that h(n) = 5n2 + (log n)3-n log(n3) Is (n2) by showing that it is O(n2) and (n2)

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