The difference between an animals surface temperature and that of the surrounding air causes a transfer of energy by convection The coefficient of convection h is given by where V (cm sec) is wind velocity, D(cm) is the diameter of the animals body, and k is a constant a Find the partial derivatives h V and h D Interpret these derivatives as rates b Compute the ratio hV hD h kV 3 D 3

Question: The difference between an animals surface temperature and that of the surrounding air causes a transfer of energy by convection. The coefficient of convection h

The difference between an animal’s surface temperature and that of the surrounding air causes a transfer of energy by convection. The coefficient of convection h is given by

h = kV/3 D/3

where V (cm/sec) is wind velocity, D(cm) is the diameter of the animal’s body, and k is a constant.

a. Find the partial derivatives h_V and h_D. Interpret these derivatives as rates.

b. Compute the ratio hV/hD.

h = kV/3 D/3

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