1st  Wave 
[Labeled "f(x,t)"]
Frequency
2nd  Wave
[Labeled "g(x,t)"]
Frequency
Superposition of 
1st and 2nd Waves

NOTE: Beats occur when  ...

To verify the above statements, change the frequency of either wave so that they differ by a small number (say about 10Hz).
See the result of below.

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