Write the Following as an Algebraic Expression in U, U $\sin \left( \arcsin \frac { \mathrm { u } } { \sqrt { 3 } } \right)$

question 61

Multiple Choice

Write the following as an algebraic expression in u, u > 0.
- $\sin \left( \arcsin \frac { \mathrm { u } } { \sqrt { 3 } } \right)$

• A) \(\frac { \mathrm { u } \sqrt { 3 } } { 3 }\)
• B) \(\frac { u \sqrt { u ^ { 2 } - 3 } } { u ^ { 2 } - 3 }\)
• C) \(\frac { \sqrt { u ^ { 2 } + 3 } } { u ^ { 2 } + 3 }\)
• D) \(\mathrm { u } \sqrt { 3 }\)

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Definitions:

Utils Per Dollar

A hypothetical measurement of the utility or satisfaction a consumer gains from spending one dollar on a good or service.

Risk-Averse

Characteristic of preferring to avoid risk, leading to preference for safer, more certain outcomes over riskier ones.

Marginal Utility

The additional satisfaction or utility that a consumer receives from consuming one more unit of a good or service.

Expected Value

The anticipated value or return of a variable, taking into account all possible outcomes and their probabilities.