Question: The wind-chill index is modeled by the function W (T, v) = 13.12 + 0.6215T-11.37v0.16 + 0.3965Tv0.16, where T is the temperature (in degrees Celsius)

The wind-chill index is modeled by the function

W (T, v) = 13.12 + 0.6215T-11.37v0.16 + 0.3965Tv0.16,

where T is the temperature (in degrees Celsius) and v is the wind speed (in km / h).

-Show the graph of the function W (T, v) with T = (- 20, 0), v = (0, 60). Mark on the surface the point T = -15, v = 50 and its corresponding W.

-Obtain the value of WT (-15, 50) and Wv (-15, 50) and explain the physical meaning of these partial derivatives.

-What will affect the cold-wind index more, a 1oC effect on temperature or a 1 km / h change in wind speed? Justify your answer.

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