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Calculus

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The power P (in W) generated by a particular windmill is given by P = .015 V^3 where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is 5.7 mph.



P = 0.015 V^3
dP/dV = 0.045 V^2 (in units of Watts per mph)
Plug V = 5.7 mph into the above formula to get the rate of change with respect to V.

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