limit question The wind-chill index W is the perceived temperature when the actu
ID: 2894281 • Letter: L
Question
limit question
The wind-chill index W is the perceived temperature when the actual temperature is rand the wind speed is T, so we can write W = f(T, v). The following table of values was compiled by the NOAA Weather Service of the United States and the Meteorological Service of Canada. (a) Estimate the value of f_T(-20, 40). (Use f(-25,40) and f(-15, 40)) What is the practical interpretation of this value? When the actual temperature is -20 degree C and the wind speed is 40 km/h, the apparent temperature increases by about degree C for every degree that the actual temperature rises. Estimate the value of f_v(-20,40). (Use f(-20,30) and f(-20, 50)) What is the practical interpretation of this value? When the actual temperature is -20 degree C and the wind speed is 40 km/h, the apparent temperature decreases by about degree C for every km/h that wind speed increases.Explanation / Answer
a)
fT(-20,40)= [f(-15,40)-f(-25,40)]/(-15-(-25))
fT(-20,40)= [-27-(-41)]/(10)
fT(-20,40)= [-27+41]/10
fT(-20,40)= 14/10
fT(-20,40)= 1.4
write 1.4 in the blank space
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fv(-20,40)= [f(-20,50)-f(-20,30)]/(50-30)
fv(-20,40)= (-35-(-33))/20
fv(-20,40)= (-35+33)/20
fv(-20,40)= -2/20
fv(-20,40)= -0.1
wrte 0.1 in the blank space
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