The lights in an auditorium are 9-pound discs of radius 18 inches. Each disc is supported by three equally spaced cables that are L inches long (see figure) I in (a) write the tension Tin each cable at a function of L. T(L) Determine the domaln of the function (b) Use graphing utitity and the function in part (a) to complete the table. (Round your answers to ene decimal place.) 20 25 30 40 45 50 () Use a graphing utility to graph the function in part (a). y 6.0 13 5.5 12 11 4.3 10 20 60 80 100 20 40 60 80 100 28 42 40 24 341 3.2 100 100 399A2A
The lights in an auditorium are 9-pound discs of radius 18 inches. Each disc is supported by three equally spaced cables that are L inches long (see figure) I in (a) write the tension Tin each cable at a function of L. T(L) Determine the domaln of the function (b) Use graphing utitity and the function in part (a) to complete the table. (Round your answers to ene decimal place.) 20 25 30 40 45 50 () Use a graphing utility to graph the function in part (a). y 6.0 13 5.5 12 11 4.3 10 20 60 80 100 20 40 60 80 100 28 42 40 24 341 3.2 100 100 399A2A
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:The lights in an auditorium are 9-pound discs of radius 18 inches. Each disc is supported by three equally spaced cables that are L inches long (see figure)
I8 in
(a) Write the tension Tin each cable as a function of L.
T(L)
Determine the domaln of the function.
(b) Use a graphing utility and the function in part (a) to complete the table. (Round your answers to one decimal place.)
20
25
30
as
40
45
50
T.
(c) Use a graphing utility to graph the function in part (a).
y
6.0
13
5.5
12
5.0
11
4.5
10
20
40
60
80
100
20
40
60
80
100
3.0
y.
44
28
42
26
4.0
3.8
24
3.6
22
3.4
3.2
20
40
60
80
100
60
80
100
Determine the asymptotes of the graph.
%3D
(d) Determine the minimum length of each cable if a cable is designed to carry a maximum load of 38 pounds (Round your answer to the nearest integer. )
in
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