True or false: a. 14n + 12n2 + 4 ∊ O(n2 ) b. nn ∊ O(2n) c. n log2 n ∊ O(n log5 n) d. n log2 n ∊ O(n log n)  e. 9n / (3 log n) ∊ O(n) Note: logkn = (log n)k   please show work

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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 True or false:

a. 14n + 12n2 + 4 ∊ O(n2 )

b. nn ∊ O(2n)

c. n log2 n ∊ O(n log5 n)

d. n log2 n ∊ O(n log n)

 e. 9n / (3 log n) ∊ O(n)

Note: logkn = (log n)k

 

please show work

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