Determine the dominant term and using dominant term to find big O class
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Determine the dominant term and using dominant term to find big O class

Question 9

(a) Determine the dominant term and using dominant term to find big O class of the following time function:

T(n)=n2log2(n)+70nlog2(n)+10n2+4.

Note: You do not need lazy method for question (a).

(b) Using lazy method to prove the following:

T(n)= nlog10(n) + 2n +10 log10(n) + 100 ∈O(nlog10(n))

(Set up your answer similarly to examples 10 - 11 in the lecture note (handout)).

Hint
MathematicsLazy Method: This method is the concept of delaying the loading of the object, until one needs it. This is also called as the lazy loading. In another words, it is basically  the process of delaying the process of instantiating the class, it is until required....

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