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Rate of Change of Number of Vehicles

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The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the function
f(x) = (x2)/{(2(1-x)}
where x is a quantity between 0 and 1 known as the traffic intensity. Find the rate of change of the number of vehicles in line with respect to the traffic intensity for the following values of the intensity.

a) x = .1

b) x = .6

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Solution Summary

The rate of change of numbers of vehicles are determined. A complete, neat and step-by-step solution is provided.

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f(x) = x^2 /{2(1 - x)} = x^2 / (2 - 2x)

Using quotient rule, f'(x) = ...

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