The table below describes four waves by their equations, in which all distances are measured in centimeters and all times are measured in seconds. For each wave, answer the following "yes-no" questions:
(a) Does it travel in the +x direction?
(b) Does it travel in the -x direction?
(c) Does it wave has the highest frequency (of the four
waves)?
(d) Does it have the greatest wavelength (of the four waves)?
(e) Does it have the greatest speed (of the four waves)?
wave | (a) | (b) | (c) | (d) | (e) |
---|---|---|---|---|---|
2cos(11x + 13t) | ? Y N | ? Y N | ? Y N | ? Y N | ? Y N |
7cos(23x - 3t) | ? Y N | ? Y N | ? Y N | ? Y N | ? Y N |
9cos(17x + 19t) | ? Y N | ? Y N | ? Y N | ? Y N | ? Y N |
3cos(-5x - 7t) | ? Y N | ? Y N | ? Y N | ? Y N | ? Y N |
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