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

question 123

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

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Definitions:

Money-Creation Process

The procedure through which the banking system generates money by issuing loans greater than the amount of reserves it holds.

M1

The measure of a country's money supply that includes physical currency and coin, demand deposits, traveler's checks, and other checkable deposits.

Bank Vaults

Secure rooms or compartments within banks where valuables, including money, documents, and other assets, are stored for protection against theft and fire.

Currency

The system of money in general use in a particular country or region, facilitating the transfer of goods and services.