Question: Heat Loss Siple and Passel developed the equation

giving the body's heat loss in kilogram-calories per square meter of body surface area per hour for wind speed \(v\) in meters per second when the air temperature is \(t\) degrees Celsius.

1. Find the function expressing the partial rate of change of heat loss with respect to air temperature and the function expressing the partial rate of change of heat loss with respect to wind speed.
2. Would you expect \(\frac{\partial H}{\partial v}\) at \((v, t)=(20,12)\) to be positive or negative? Give reasons.
3. Find the value of \(\frac{\partial H}{\partial v}\) at \((v, t)=(20,12)\). Interpret your answer.
4. Would you expect \(\frac{\partial H}{\partial t}\) at \((v, t)=(20,12)\) to be positive or negative? Give reasons.
5. Find the value of \(\frac{\partial H}{\partial t}\) at \((v, t)=(20,12)\). Interpret your answer.

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