Assume that each of the expressions in the following table has processing time T(n) to solve a problem of size n. Identify the dominant term(s) having the growing increase in n and specify the Big-Oh complexity. Expression Dominant term(s) Big-Oh A.1 8 + 0.081n2 + 0.040n A.2 100 + n log2 n A.3 100n + 0.081 log3 n + n3 A.4 0.081 log4 n + 81n Find the Big-Oh for each of the following programs. B.1 sum = 0; for(i = 0; i < n; i++) sum++; B.2 sum = 0 for(i = 0; i < n; i++) for( j = 0; j < n * n; j++) sum++;

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Q: Match the following: A) f(n)= 3n+5,g(n)=n² B) f(n) =n,g (n)= 31) C) f(n) = Jn,g(n)=5t% S(n) =…

A: Correct Option is A A-&gt; IV B-&gt; II C-&gt;I D-&gt; V E-&gt;III

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A: The solution is given below with explanation

Q: 0(n) 0 (4") 0 (16") Le(n) 0 (n²6)

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A: Since T1(𝑛) ≤ 𝑐. 𝑓(𝑛) for some positive number c and positive integer n1 such that 𝑛≥n1 and…

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A: Solution:   Given,

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A: there are three for loops which are nested so compexity will be :

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A: The run time of a loop can be found out by analyzing the number of iterations will be made.

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Q: ndicate the run time con or i = 1 + n*n: x++; For i = 1 e n: x++; O O(n² lg n) Oln3)

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A: for the above problem given to calculate the quotient and then the following remaining given below…

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A: Because the g(n) function is not specified in the queries, it is not implemented. #include…

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A: Time complexity of all the questions is provided in step2.

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A: FOR the above expression the big o complexity is as follows:

Q: A.1 A.2 A.3 A.4 Expression 8 +0.081n² + 0.040n 100+ n log2 n 100n + 0.081 log³ n + n³ 0.081 log4 n +…

A: Given expressions: A.1: 8+0.081n2+0.040n A.2: 100+n log2 n A3.: 100n+ 0.081 log3 n+ n3 A.4: 0.081…

Q: onsider the following non-recursive algorithm: Algorithm Euclid2(m, n) //Input: Integers m and n…

A: The Euclid2(m, n) algorithm: m &gt;= n While n != 0 do    r &lt;- m mod n     m &lt;- n    n &lt;-…

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Q: (2) Algorithm f(n) if n==1 return 1; return 2*f(n-1)+ n*n*n;

A: The solution to the given problem is below.

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A: I have given a complete explanation below. See the below step.

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A: GIVEN:   What is the time complexity T(n) and the Big-Oh notation of the following programs in terms…

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.