Question: (b) O(n log n) (c) quadratic (d) cubic 40 points Prove each of the following statements by applying the definition of Big-O. That is, derive

(b) O(n log n) (c) quadratic (d) cubic 40 points Prove each of the following statements by applying the definition of Big-O. That is, derive an inequality (show your work) and identify the witness constants C and k as per the definition of Big-O. (a) 2n +17 O(3") (b) n log2(n) O(n2) (d) log2(n+1) O(log2(m)) (e) log2(n2 +1) O(log2(n)). (f) n log2 (32n)- O(n log2 (n) (g) n2" 0(3") (h) log2 (n!) (n log2 n) Recursion tonirotion for the following

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