Write the Following as an Algebraic Expression in U, U $\cos ( \arctan \mathrm { u } )$

question 111

Multiple Choice

Write the following as an algebraic expression in u, u > 0.
- $\cos ( \arctan \mathrm { u } )$

• A) \(\frac { \mathrm { u } \sqrt { \mathrm { u } ^ { 2 } + 1 } } { \mathrm { u } ^ { 2 } + 1 }\)
• B) \(\frac { \sqrt { u ^ { 2 } - 1 } } { u ^ { 2 } - 1 }\)
• C) \(\frac { \sqrt { u ^ { 2 } + 1 } } { u ^ { 2 } + 1 }\)
• D) \(u \sqrt { u ^ { 2 } + 1 }\)

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Definitions:

Monopoly

A market structure characterized by a single seller dominating the entire market, often leading to higher prices due to lack of competition.

Demand Curve

The demand curve is a graph showing the relationship between the price of a good and the amount that consumers are willing and able to purchase at various prices.

Consumer Surplus

The gap between what consumers are ready and can afford to pay for a product or service, versus what they actually spend.

Producer Surplus

The difference between the amount that a producer is paid for a good or service and the minimum amount they are willing to accept for it.