Question: Let f(n) = 2 (log n) 2 + 5n 2 log n+ square root of n Please give all the details for the below statements

Let f(n) = 2 (log n)2 + 5n2 log n+ square root of n

Please give all the details for the below statements (i.e. give the witnesses C and k).

a. (5 points) Show that f(n) is not O(square root of n ).

b. (5 points) Show that f(n) is O(n3).

c. (5 points) Show that f(n) is (log n).

d. (5 points) Show that f(n) is (n2 log n ).

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