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Solve the Problem y=4(cos⁡2πxcos⁡bt+sin⁡2πxsin⁡bt)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⁡2πxcos⁡bt+sin⁡2πxsin⁡bt) y = 4 ( \cos 2 \pi x \cos b t + \sin 2 \pi x \sin b t ) . Assume bb and tt are constants. Write yy as a cosine function of xx .


A) y=4cos⁡(2πx−bt) y = 4 \cos ( 2 \pi x - b t )
B) y=4cos⁡(2πx+bt) y = 4 \cos ( 2 \pi x + b t )
C) y=8cos⁡(2πx+bt) y = 8 \cos ( 2 \pi x + b t )
D) y=cos⁡(2πx−bt) y = \cos ( 2 \pi x - b t )

Correct Answer:

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