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One form of the formula that meteorologists use to

Wind chill

One form of the formula that meteorologists use to calculate wind chill temperature (WC) is

WC = 35.74 + 0.6215t - 35.75s^0.16 + 0.4275t s^0.16

where s is the wind speed in mph and t is the actual air temperature in degrees Fahrenheit. Suppose temperature is constant at 15°.

(a) Express wind chill WC as a function of wind speed s.

(b) Find the rate of change of wind chill with respect to wind speed when the wind speed is 25 mph.

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