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 3 years ago
The windchill index is modeled by the function below where T is the temperature (°C) and v is the wind speed (km/h).
W = 13.12 + 0.6215T  11.37v0.16 + 0.3965Tv0.16
When T = 13°C and v = 34 km/h, by how much would you expect the apparent temperature W to drop if the actual temperature decreases by 1°C? (Enter your answer to 1 decimal place.)
°C
What if the wind speed increases by 1 km/h?(Enter your answer to 2 decimal places.)
°C
 3 years ago
The windchill index is modeled by the function below where T is the temperature (°C) and v is the wind speed (km/h). W = 13.12 + 0.6215T  11.37v0.16 + 0.3965Tv0.16 When T = 13°C and v = 34 km/h, by how much would you expect the apparent temperature W to drop if the actual temperature decreases by 1°C? (Enter your answer to 1 decimal place.) °C What if the wind speed increases by 1 km/h?(Enter your answer to 2 decimal places.) °C

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him1618
 3 years ago
Best ResponseYou've already chosen the best response.1and is the apparent temp the wind chill W?

dryicegrl
 3 years ago
Best ResponseYou've already chosen the best response.0I was think I would have to find W with respect of T first, but I am not sure where the less 1 degree comes in

him1618
 3 years ago
Best ResponseYou've already chosen the best response.1differentiate wrt T dW/dT = 0.6215 + 0.3965 (v)^0.16 dW = [0.6215 + 0.3965 (v)^0.16] dT dT=1 hence find dW

3pwood
 3 years ago
Best ResponseYou've already chosen the best response.0Depening on what class this is for, you may be supposed to do this with partial derivatives, but you can actually just plug in the given T and v, and compute an initial W, then change the T or v by the one unit as requested to get a final W, then just subtract to find the difference between W values.

dryicegrl
 3 years ago
Best ResponseYou've already chosen the best response.0well yes i am suppose to use partial derivatives

him1618
 3 years ago
Best ResponseYou've already chosen the best response.1then do as ive done....it should work...

dryicegrl
 3 years ago
Best ResponseYou've already chosen the best response.0I am....what about the dT=1 part?

him1618
 3 years ago
Best ResponseYou've already chosen the best response.1dT is the change in actual temp, which is given to be 1 degree,

him1618
 3 years ago
Best ResponseYou've already chosen the best response.1ok....good luck fr the others
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