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The arch of a bridge forms a parabola with the equation y=-0.00188x² + .946x –49 where y is the height above the roadway in metres and x is the horizontal distance in metres from where the ends of the arch meet the water. Use Desmos to graph the function, then answer the following questions. a) What is the maximum height of the bridge above the roadway? b) What is the maximum height of the bridge above the water? €) How wide is the bridge? d) What is the horizontal distance between where the arch meets the water and where the arch passes the roadway?

The arch of a bridge forms a parabola with the equation y=-0.00188x² + .946x –49 where y is the height above the roadway in metres and x is the horizontal distance in metres from where the ends of the arch meet the water. Use Desmos to graph the function, then answer the following questions. a) What is the maximum height of the bridge above the roadway? b) What is the maximum height of the bridge above the water? €) How wide is the bridge? d) What is the horizontal distance between where the arch meets the water and where the arch passes the roadway?

Advanced Engineering Mathematics
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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The arch of a bridge forms a parabola with the equation y=-0.00188x² + .946x 49 where y is the height above the roadway in metres and x is the horizontal distance in metres from where the ends of the arch meet the water. Use Desmos to graph the function, then answer the following questions. a) What is the maximum height of the bridge above the roadway? b) What is the maximum height of the bridge above the water? c) How wide is the bridge? d) What is the horizontal distance between where the arch meets the water and where the arch passes the roadway?
Transcribed Image Text:The arch of a bridge forms a parabola with the equation y=-0.00188x² + .946x 49 where y is the height above the roadway in metres and x is the horizontal distance in metres from where the ends of the arch meet the water. Use Desmos to graph the function, then answer the following questions. a) What is the maximum height of the bridge above the roadway? b) What is the maximum height of the bridge above the water? c) How wide is the bridge? d) What is the horizontal distance between where the arch meets the water and where the arch passes the roadway?
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