The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of the bridge is 1210 m long and 135 m high. The parabola y = 0.00037x² gives a good fit to the shape of the cables, where |x| ≤605, and x and y are measured in meters. Approximate the length of the cables that stretch between the tops of the two towers. The length of the cables is approximately (Round to the nearest whole number.) meters. 135 m 1210 m
The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of the bridge is 1210 m long and 135 m high. The parabola y = 0.00037x² gives a good fit to the shape of the cables, where |x| ≤605, and x and y are measured in meters. Approximate the length of the cables that stretch between the tops of the two towers. The length of the cables is approximately (Round to the nearest whole number.) meters. 135 m 1210 m
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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
Transcribed Image Text:The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of the bridge is 1210 m long and 135 m high.
The parabola y = 0.00037x² gives a good fit to the shape of the cables, where |x| ≤605, and x and y are measured in meters. Approximate the
length of the cables that stretch between the tops of the two towers.
The length of the cables is approximately
(Round to the nearest whole number.)
meters.
...
135 m
1210 m
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