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Determine the Equation of the Graph F=60\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 F=60\mathrm { F } = 60 . Suppose the maximum displacement at the center of the string is s(0) =0.54\mathrm { s } ( 0 ) = 0.54 . Find an equation of the form s(t) =acosbt\mathrm { s } ( \mathrm { t } ) = \mathrm { a } \cos \mathrm { bt } to model this displacement. Round constants to 2 decimal places.


A) s(t) =1.08cos376.99ts ( t ) = 1.08 \cos 376.99 t
B) s(t) =1.08cos9.55ts ( t ) = 1.08 \cos 9.55 t
C) s(t) =0.54cos9.55ts ( t ) = 0.54 \cos 9.55 t
D) s(t) =0.54cos376.99t\mathrm { s } ( \mathrm { t } ) = 0.54 \cos 376.99 \mathrm { t }

Correct Answer:

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