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A standing wave pattern on a string is described byy(x, t) 0.040 (sin 5px)(cos 40pt),where x and y are in meters and t is in seconds. For x 0, what isthe location of the node with the (a) smallest, (b) second smallest,and (c) third smallest value of x? (d) What is the period of theoscillatory motion of any (nonnode) point? What are the (e)speed and (f) amplitude of the two traveling waves that interfereto produce this wave? For t 0, what are the (g) first, (h) second,and (i) third time that all points on the string have zero transversevelocity?
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