10. The central span of the Golden Gate bridge is 4200 ft long and the towers’ height from the roadway is 500 ft. The shape of the main suspension cables can be approximately modeled by the equation: 500 ft f(x) = C( et/C + e=x/C - 1) for -2100
10. The central span of the Golden Gate bridge is 4200 ft long and the towers’ height from the roadway is 500 ft. The shape of the main suspension cables can be approximately modeled by the equation: 500 ft f(x) = C( et/C + e=x/C - 1) for -2100
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Numerical Methods Lecture:
You can look at the picture.
![10. The central span of the Golden Gate bridge is 4200 ft long
and the towers' height from the roadway is 500 ft. The shape of
the main suspension cables can be approximately modeled by the
equation:
500 ft
f(x) = Ce/C +e=x/C
2
1) for -2100 <x<2100 ft
2100 ft
where C
4491.
By using the equation L = ['1+[f'(x)]° dx, determine the length of the main suspension cables with
the following integration methods:
(a) Simpson's 1/3 method. Divide the whole interval into eight subintervals.
(b) Simpson's 3/8 method. Divide the whole interval into nine subintervals.
(c) Three-point Gauss quadrature.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63b1a839-e1fc-48aa-ad2d-38302fc6991f%2Fb5a92a21-f852-4fc6-8755-43a9aeba9a42%2Fkgk35hp_processed.png&w=3840&q=75)
Transcribed Image Text:10. The central span of the Golden Gate bridge is 4200 ft long
and the towers' height from the roadway is 500 ft. The shape of
the main suspension cables can be approximately modeled by the
equation:
500 ft
f(x) = Ce/C +e=x/C
2
1) for -2100 <x<2100 ft
2100 ft
where C
4491.
By using the equation L = ['1+[f'(x)]° dx, determine the length of the main suspension cables with
the following integration methods:
(a) Simpson's 1/3 method. Divide the whole interval into eight subintervals.
(b) Simpson's 3/8 method. Divide the whole interval into nine subintervals.
(c) Three-point Gauss quadrature.
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