Concept explainers
Auditorium Lights
The lights in an auditorium are 24-pound discs of radius18 inches. Each disc is supported by three equally spaced
cables that are L inches long (see figure).
(a) Write the tension T in each cable as a function of L. Determine the domain of the function.
(b) Use a graphing utility and the function in part (a) to complete the table.
L | 20 | 25 | 35 | 40 | 45 | 50 |
T |
(c) Use a graphing utility to graph the function m pan (a).Determine the asymptotes of the graph.
(d) Confirm the asymptotes of the graph in part (c) analytically.
(e) Determine the minimum length of each cable when a cable is designed to carry a maximum load of 10 pounds.
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Chapter 11 Solutions
Bundle: Calculus: Early Transcendental Functions, 7th + Webassign, Multi-term Printed Access Card
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