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Suppose that each of the following expressions represents the number of logical
operations in an algorithm as a function of n, the number of constant size data
items being manipulated. for each expression, (i) determine the dominant term
and then use the dominant term to classify the algorithm in (ii) big-o terms and
also in (iii) omega-notation.
a. n^3 + n^2 log2 n + n^3 log2 n
b. n + 4 n^2 + 4n
c. 48 n^4 + 16 n^2 + log8 n + 2n

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