(a) Show that the derivative solution of this function y = x** is dy = xa*x-1) [1+x In x (In x+ 1) (b) The perccived decrease in air temperature felt by the body on exposed skin due to the flow of air is being modeled through wind-chill index (W) by the following function. W = 13.12 + 0.6215T - 11.37v 16+0.3965T16 If temperature (T) -15°C and wind speed (v) 30 km/h, analyze the expected apparent temperature to be dropped if (1) the actual temperature decreases by 1°C, find (1) the wind speed increases by 1 km/h, find dv

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