Solve the Problem $y = 4 ( \cos 2 \pi x \cos b t + \sin 2 \pi x \sin b t )$

question 30

Multiple Choice

Solve the problem.
-A vibrating wire has a vertical displacement given by $y = 4 ( \cos 2 \pi x \cos b t + \sin 2 \pi x \sin b t )$ . Assume $b$ and $t$ are constants. Write $y$ as a cosine function of $x$ .

• A) \(y = 4 \cos ( 2 \pi x - b t )\)
• B) \(y = 4 \cos ( 2 \pi x + b t )\)
• C) \(y = 8 \cos ( 2 \pi x + b t )\)
• D) \(y = \cos ( 2 \pi x - b t )\)

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Definitions:

Mary Wollstonecraft

An English writer, philosopher, and advocate of women's rights, best known for her work "A Vindication of the Rights of Woman" (1792).

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Seneca Falls Conference

The first women's rights convention held in 1848 in Seneca Falls, New York, marking the start of the women's suffrage movement in the United States.

1848

A year marked by widespread revolutions across Europe, driven by demands for political and social reform.