The wind-chill index W is the perceived temperature when the actual temperature is T and the wind speed is v, so we can write W = f(T, v). The following table of values is an excerpt from Table 1 in Section 14.1.(a) Estimate the values of f_T(215, 30) and f_v(215, 30). What are the practical interpretations of these values?

(b) In general, what can you say about the signs ofand (c) What appears to be the value of the following limit?

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Wind speed (km/h) 70 30 40 50 60 - 22 - 10 - 18 - 20 - 23 - 23 -21 - 29 - 15 - 30 - 24 - 26 - 27 - 30 - 35 - 20 - 30 - 33 - 36 – 34 - 37 - 39 - 41 - 37 - 43 - 25 - 42 - 44 Actual temperature (°C) 20 aW/aT