The following table gives the power P in watts generated by a windmill with winds blowing v miles per hour. v (mph) 5 10 15 20 25 P (watts) 1.8 15 50.7 120 234 a) Find a model P as a power function of v. [Round the coefficients to three decimal places. b) How fast must the wind blow in order to generate 41 watts of power? c) If wind speed increases by a factor of 3, how much more power is generated?

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