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Decide if each of the following stataments is true or false and give a proof. You need to identify the values for the constants c

Decide if each of the following stataments is true or false and give a proof. You need to identify the values for the constants c and n0 as used in the definitions of big-O, and .

c) (n + log(n)) (n+8) is O(n)

d) (n + log(n)) (n+8) is (n log n)

e) n2 +2n2 +3n2 +4n2 ++ (n)n2 is O(n2 )

f) n2 +2n2 +3n2 +4n2 ++ (n)n2 is (n2 )

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