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) ω-notation.
a. n^3 + n^2 log_2 n + n^3 log_2 n
b. n + 4n^2 + 4^n
c. 48n^4 + 16n^2 + log_8 n + 2n

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