A. 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 8+0.081n² + 0.040n 100+ n log₂ n 100n + 0.081 log3 n + n³ 0.081 log, n +81n A.1 A.2 A.3 A4 Dominant term(s) Big-Oh

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A. 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
A.1
A.2
A.3
A.4
8 +0.081n² + 0.040n
100 +n log₂ n
100n + 0.081 log3n+n³
0.081 log. n +81n
B. Find the Big-Oh for each of the following programs.
B.1
sum = 0;
for (i = 0; i<n; i++)
sum++;
B.2
Dominant
term(s)
sum 0
for (i = 0; i<n; i++)
for(j = 0; j<nn; j++)
sum++;
Big-Oh
Transcribed Image Text:A. 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 A.1 A.2 A.3 A.4 8 +0.081n² + 0.040n 100 +n log₂ n 100n + 0.081 log3n+n³ 0.081 log. n +81n B. Find the Big-Oh for each of the following programs. B.1 sum = 0; for (i = 0; i<n; i++) sum++; B.2 Dominant term(s) sum 0 for (i = 0; i<n; i++) for(j = 0; j<nn; j++) sum++; Big-Oh
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