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A sound wave is modeled with the equation y=14cos2π3θ
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a. Find the period. Explain your method.
b. Find the amplitude. Explain your method
a. The period of a sound wave can be found using the formula T = 2π / b, where b is the coefficient of θ in the equation. In this case, the coefficient of θ is 2π/3.
So, the period T = 2π / (2π/3) = 3.
Therefore, the period of the sound wave is 3.
b. The amplitude of a sound wave can be found by looking at the coefficient of the cosine function in the equation. In this case, the coefficient of the cosine function is 14.
So, the amplitude of the sound wave is 14.