Find an Antiderivative of the Given Function $$x ^ { - 5 } + \frac { 1 } { 4 \sqrt { x } }$$

question 391

Multiple Choice

Find an antiderivative of the given function.
- $$x ^ { - 5 } + \frac { 1 } { 4 \sqrt { x } }$$

• A) \(- \frac { 1 } { 5 x ^ { 5 } } + \frac { 1 } { 2 } x ^ { 1 / 2 }\)
• B) \(- \frac { 1 } { 4 x ^ { 5 } } + \frac { 1 } { 2 } x ^ { 1 / 2 }\)
• C) \(- \frac { 1 } { 4 x ^ { 4 } } + \frac { 1 } { 2 } x ^ { 1 / 2 }\)
• D) \(- \frac { 1 } { 5 x ^ { 4 } } + \frac { 1 } { 2 } x ^ { 1 / 2 }\)

Assess the impact of technology on labor productivity and the production function.

Identify factors that influence labor productivity.

Distinguish between increases in physical and human capital.

Recognize how economic structures and policies affect productivity and living standards.

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Definitions:

Utility

An indicator of pleasure or contentment obtained by customers from using products or services.

Risk Averse

A description of an individual's or entity's preference to avoid risk, favoring certainty in investment or economic decisions.

Expected Utility

A concept in economics that calculates the utility expected from different outcomes, taking into account their probabilities.