Question: (b) The wind-chill index Wis the perceived temperature when the actual temperature isT and the wind speed isv.The wind-chill index is modelled by the functionW(T,v)=13.1+0.6T-11.4v0.2+0.4Tv0.2where

(b) The wind-chill index Wis the perceived temperature when the actual temperature isT and the wind speed isv.The wind-chill index is modelled by the functionW(T,v)=13.1+0.6T-11.4v0.2+0.4Tv0.2where Tis the actual temperature (inC) and vkmh26kmh,with a possible error of+-2kmh, and the actual temperature is measured as-11C, with a possible error of+-1C.(i) Calculate W(-11,26).(ii) Use differentials to estimate the maximum error in the calculated value ofW due to the measurement errors inTand v.

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