Watching your fish swim in their tank, you notice that when one fish repeatedly jumps, it causes
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Watching your fish swim in their tank, you notice that when one fish repeatedly jumps, it causes a standing wave given by the time-independent function
\[f(x)=a \sin (b x),\]
with \(a=0.015 \mathrm{~m}\) and \(b=19.6 \mathrm{~m}^{-1}\). If the tank is \(0.96 \mathrm{~m}\) long, determine the positions of the first three nodes, beginning with the node at one end of the tank.
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