The Shape of the Main Cable on a Suspension Bridge

question 123

Short Answer

The shape of the main cable on a suspension bridge can be described by the function
where y is the height of the cable (in feet)above the roadbed and x is the horizontal distance (in feet)from the center of the bridge.A cross support passes by the cable,and its position can be described by the function
Where does the cross-support intersect the cable? Use a graphing calculator to answer the question by finding the point(s)of intersection of the two equations.

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Definitions:

Normal Distribution

A bell-shaped frequency distribution curve that is symmetric around its mean, describing how values of a variable are dispersed or spread.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, showing how much each value in the set varies from the mean.

Mean

The average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Annual Revenue

The total income generated by a company or organization in one fiscal year before any deductions are made.