A wave traveling along a string is described by the timedependent wave function (f(x, t)=a sin (b

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A wave traveling along a string is described by the timedependent wave function \(f(x, t)=a \sin (b x+q t)\), with \(a=0.0268 \mathrm{~m}, b=5.85 \mathrm{~m}^{-1}\), and \(q=76.3 \mathrm{~s}^{-1}\). The linear mass density of the string is \(0.0456 \mathrm{~kg} / \mathrm{m}\). Calculate (a) the wave speed \(c,(b)\) the wave frequency \(f\), and (c) the power \(P\) supplied by the wave.

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