Tension The lights in an auditorium are 24-pound disks of radius18 inches. Each disk is

Chapter 11, Problem 66

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Tension The lights in an auditorium are 24-pound disks of radius18 inches. Each disk is supported by three equallyspaced cables that are inches long (see figure).(a) Write the tensionin each cable asa function ofDetermine thedomain of thefunction.(b) Use a graphingutility to graph thefunction in part (a).What are the asymptotes of the graph? Interprettheir meaning in the context of the problem.(c) Determine the minimum length of each cable whena cable can carry a maximum load of 10 pounds.

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