To find: The equation of the standing wave with maximum amplitude 7 and nodes at
Answer to Problem 6P
The equation of the wave is
Explanation of Solution
Given:
The equation has the form
Each point which is not a node moves up and down with period
Formula used:
Velocity of the wave is
Calculation:
The amplitude of the wave is A = 7.
From the figures it can be observed that the period of the sine component of the wave is
It is given that the equation has the form
The value of
Therefore,
Calculate
Therefore,
It is given that amplitude is
Using all the above values the equation of the wave is
Chapter 7 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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