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Solving a Sinusoidal Inequality

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The position of a piston is modeled by the function d(t)=6sin⁡(4πt)+2d(t) = 6\sin(4\pi t) + 2, where d(t)d(t) is the distance in centimeters from a reference point at time tt in seconds. The piston delivers power when d(t)>6d(t) > 6. For what fraction of each cycle is the piston delivering power?

A

1/2

B

1/4

C

1/3

D

about 0.267

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