Applications of Parabolas and Hyperbolas: Real-Life Applications of Probability
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One of the civil engineers you interviewed for your article works for a company which specializes in bridge construction projects. In the process of designing suspension bridges, they must account for many variables in the modeling. Some of these variables include the bridge span; the force of the typical water currents wearing upon the structure; ice flows striking the structure; the forces the current creates caused by river traffic flowing beneath the bridge; the height of the bridge and the wind force. The bridge also has to be designed to withstand the constant flow of traffic on the bridge and to bear its weight. Graphing parabolas and hyperbolas can be used to illustrate some of these design issues.
1. How does the graph of a parabola differ from the graph of one branch of a hyperbola? Identify some real world applications of parabolas and hyperbolas (other than civil engineering).
2. Search the internet source to find and discuss at least two practice uses of probability today.
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Solution Summary
In about 220 words, this solution first describes the concepts of parabolas and hyperbolas and then discusses their applications. The solution is detailed and well presented.
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A Parabola is the set of all points (x,y) that are equidistance from a fixed line (directed) and a fixed point (focus) not on the line.
A hyperbola is the set of all points (x,y) for which the difference between the distance from two distinct fixed points (foci) is ...
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