Find the Simplest Order of Growth of the Following Expression

question 101

Multiple Choice

Find the simplest order of growth of the following expression: n³ + log(n⁵) .

• A) θ(n³)
• B) θ(n³+ log(n))
• C) θ(log(n⁵))
• D) θ(n + log(n))

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Definitions:

Power of the Test

The probability that a statistical test will correctly reject a false null hypothesis, essentially the test's ability to detect an effect when there is one.

Null Hypothesis

A hypothesis used in statistical testing that assumes there is no significant difference or effect and that the observed outcomes are due to chance.