Determine the Equation of the Graph $\mathrm { F } = 60$

question 104

Multiple Choice

Determine the equation of the graph.
-A guitar string is plucked so that it vibrates with a frequency of $\mathrm { F } = 60$ . Suppose the maximum displacement at the center of the string is $\mathrm { s } ( 0 ) = 0.54$ . Find an equation of the form $\mathrm { s } ( \mathrm { t } ) = \mathrm { a } \cos \mathrm { bt }$ to model this displacement. Round constants to 2 decimal places.

• A) \(s ( t ) = 1.08 \cos 376.99 t\)
• B) \(s ( t ) = 1.08 \cos 9.55 t\)
• C) \(s ( t ) = 0.54 \cos 9.55 t\)
• D) \(\mathrm { s } ( \mathrm { t } ) = 0.54 \cos 376.99 \mathrm { t }\)

---

Definitions:

Bond Proceeds

The funds received by an issuer from the sale of bonds, typically used for financing long-term investments.

Special Assessment

A charge levied by local governments on property owners for improvements that benefit their properties, such as sidewalks or sewers.

Government-Wide Financial Statements

Comprehensive financial reports that provide an overview of a government's net position and financial activities, differentiating between governmental and business-type activities.

Intra-Activity Transactions

Transactions that occur between divisions within the same company, affecting only internal accounts without impacting the company's financial position to external parties.