Question: Electrical generation from wind turbines (large windmills) is increasingly popular in Europe and the United States. The fraction of the wind's energy that can be

Electrical generation from wind turbines (large "windmills") is increasingly popular in Europe and the United States. The fraction of the wind's energy that can be extracted by a certain type of turbine is f(x)= 1/2x(2-x)^2

where x is the fraction by which the wind is slowed in passing through the turbine. Find the fraction x that maximizes the energy extracted.

x =

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