What is the effect in the time required to solve a problem when you increase the size of the input from n to n + 1, assuming that the number of milliseconds the algorithm uses to solve the problem with input size n is each of these functions? [Express your answer in the simplest form possible, either as a ratio or a difference. Your answer may be a function of n or a constant.] a) log n  b) 100n c) n^2 d) 2^n e) n!

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A:

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A: the solution is an given below :

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A: Answer 1. The code will show compile time error.   Answer 2.  The code will show compile time error.

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A: a) solution:-

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A: Proved the given functions of the asymptotic notations

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A: The above question is solved in step 2 :-

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A: Proved the given functions

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