Write the Following as an Algebraic Expression in U, U $\tan \left( \cos ^ { - 1 } \frac { \mathrm { u } } { 3 } \right)$

question 2

Multiple Choice

Write the following as an algebraic expression in u, u > 0.
- $\tan \left( \cos ^ { - 1 } \frac { \mathrm { u } } { 3 } \right)$

• A) \(\frac { u \sqrt { 9 - u ^ { 2 } } } { 9 - u ^ { 2 } }\)
• B) \(\frac { \sqrt { u ^ { 2 } - 9 } } { u }\)
• C) \(\frac { \sqrt { 9 - u ^ { 2 } } } { u }\)
• D) \(\mathrm { u } ^ { 2 } \sqrt { 9 }\)

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Definitions:

Supply Shift

A change in the quantity of a product or service that producers are willing and able to sell at all prices, due to factors like technology, production costs, or number of sellers.

Normative Analysis

A type of analysis concerned with what ought to be, focusing on value judgments and statements of what is good or bad.

Socially Desirable

Actions or policies that are beneficial for society as a whole, often considering long-term benefits over short-term gains.

Producer Surplus

The difference between the amount that producers are willing to sell a good for and the actual amount received by them after selling it.