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The wave function y(x, t) for a certain standing wave on a string fixed at both ends is given by y(x, t) = (0.05 m) sin (1.8 m-1x) cos (400 s-1t).

(a) What are the speed and amplitude of the two traveling waves that result in this standing wave?

m/s m

(b) What is the distance between successive nodes on the string?

m

(c) What is the shortest possible length of the string?

m

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