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Two waves, y1(x,t) and y2(x,t), travel on the same piece of rope and combine to produce...

Two waves, y1(x,t) and y2(x,t), travel on the same piece of rope and combine to produce a resultant wave of the form y(x,t) = 8.000 sin(4.000x + 1.000t + 0)cos(1.000x + 3.000t + 0). The first wave is y1(x, t ) = 4.000 sin(3.000x + (-2.000)t), while the second wave has the form y2(x, t ) = A sin(kx ± ωt+ϕ), where x is measured in m and t in seconds. Determine the values of the constants in the second wave:

  1. A =

  2. k =

  3. ω =

  4. The sign in front of ω (+ or -)

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