1-10 Standing Waves

Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave described by the wave function

where x and y are in meters and t is in seconds.

a. What is the amplitude of one of the interfering waves?

 b. Find the second smallest value of the position x   corresponding to an antinode.

c. Find the third smallest value of the position x         corresponding to a node.

Example 1