The formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74 + 0.6215T − 35.75v0.16 + 0.4275Tv0.16 where v is the
wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is 25 ± 3 miles per hour and the temperature is 8° ± 3°. Use dC to estimate the maximum possible propagated error (round your answer to four decimal places) and relative error in calculating the wind chill (round your answer to two decimal places).
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Answer:
If you compare this to , then
and
.
Step-by-step explanation:
We are given and we are asked to find the value of
.
So we will need to find .
Square both sides:
Expand using identity: .
Let's go back to the full .
If you compare this to , then
and
.