Question

Find out the -notation for the function: f(n)=27n^2+16n.

Answer 1

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For 16n ≤ n²

27n²+16n ≤ 27n²+n²

27n²+16n ≤ 28n²

so, c = 28 & n = 16

so, f(n) = o(n²)

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Answer 2

Big O notation for the function: f(n)=27n^2+16n. is f(n) = o(n²).

Step-by-step explanation:

Big O is the formal approach of expressing time complexity in phrases of the higher certain fee of an algorithms going for walks time.

It’s a degree of the longest quantity of time it can probably take for the set of rules to complete.

Definition: f(n)=O(g(n))

If there are superb constants c and n0 such that

|f (n)|<= c|g(n)| for all n >= n0

hence ,

For 16n ≤ n²

= 27n²+16n ≤ 27n²+n²

= 27n²+16n ≤ 28n²

so, c = 28 & n = 16

so, f(n) = o(n²)

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