Solve the problem.Two low-frequency sound waves with similar frequencies, producing the pressures  and  combine to form a pressure  The variable t is time measured in seconds. Graph P in  by  and use the graph to determine the

frequency of the displayed beats. Rewrite the sum P as a product of trigonometric functions.



A. 1.5 beats per second
0.006 cos(61.5?t) cos(1.5?t)
[0, 1.2, .05] by [-0.01, 0.01, 0.001]

B. no beats
0.006 cos(123?t) cos(123?t)
[0, 1.2, .05] by [-0.01, 0.01, 0.001]

C. no beats
0.006 cos(61.5?t) cos(61.5?t)
[0, 1.2, .05] by [-0.01, 0.01, 0.001]

D. 3 beats per second
0.006 cos(123?t) cos(3?t)
[0, 1.2, .05] by [-0.01, 0.01, 0.001]


Answer: D

Mathematics

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