Which Function Has a Faster Growth Rate: θ(N^1/2) or θ(Log(n))

question 84

Multiple Choice

Which function has a faster growth rate: θ(n^1/2) or θ(log(n) ) ?

• A) θ(log(n))
• B) θ(n^1/2)
• C) They are the same.
• D) They can't be compared.

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Definitions:

Diminishing Returns

A rule that implies that after reaching a certain threshold, the profit rate from investing more into a specific sector won't keep rising unless there are changes in other contributing factors.

Production Function

An equation that describes the maximum output that can be achieved with a given set of inputs.

Labor

The use of human mental and physical efforts in the process of producing goods and offering services.

Average Total Cost

The average cost per unit of output, calculated by dividing the total production cost by the quantity of goods produced.