Two traveling wave pulses on a string are represented by the wave functions and where x is

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Two traveling wave pulses on a string are represented by the wave functions

image

and

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where x is in meters and t is in seconds.

(a) Sketch each wave function separately as a function of x at t = 0, and describe the behavior of each as time increases.

(b) Find the resultant wave function at t = 0.

(c) Find the resultant wave function at t = 1 s.

(d) Sketch the resultant wave function at t = 1 s.

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