Solve the Equation for X, Where X Is Restricted to the Given

question 39

Multiple Choice

Solve the equation for x, where x is restricted to the given interval.
- $y = - 5 \sin 8 x$ , for $x$ in $\left[ - \frac { \pi } { 16 } , \frac { \pi } { 16 } \right]$

• A) \(x = \frac { 1 } { 8 } \arcsin \frac { y } { 5 }\)
• B) \(x = - \frac { 1 } { 5 } \arcsin \frac { y } { 8 }\)
• C) \(x = \frac { 1 } { 8 } \arcsin \left( - \frac { y } { 5 } \right)\)
• D) \(x = \frac { 1 } { 5 } \arcsin \left( - \frac { y } { 8 } \right)\)

---

Definitions:

Price Leadership

A market strategy where one leading company sets the price of goods or services, and other companies in the sector follow suit.

Covert Collusion

An implicit, non-public agreement between firms to fix prices, limit production, or divide markets, without explicit communication.

Allocative Efficiency

A state of the economy where resources are allocated in a way that maximizes the overall benefit to society.

Productive Efficiency

Occurs when a good or service is produced at the lowest possible cost, utilizing all resources efficiently.