Suppose the formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74 +0.6217T-35.71v0.16 +0.4276Tv0.16 where v is the wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is 23 ± 3 miles per hour and the temperature is 8 ± 1 degrees Fahrenheit. Use the differential of C to estimate the maximum error in calculating the wind chill. Round your answer to four decimal places.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 33A
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Suppose the formula for wind chill C (in degrees Fahrenheit) is given by
C = 35.74 +0.6217T - 35.710.16 +0.4276Tv0.16
where v is the wind speed in miles per hour and T is the temperature in
degrees Fahrenheit. The wind speed is 23 ± 3 miles per hour and the
temperature is 8 ± 1 degrees Fahrenheit. Use the differential of C to
estimate the maximum error in calculating the wind chill. Round your
answer to four decimal places.
O dC 18.8816
-
dC+10.8816
dC = +4.4408
O dC = 19.4408
OdC = ±2.4408
Transcribed Image Text:Suppose the formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74 +0.6217T - 35.710.16 +0.4276Tv0.16 where v is the wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is 23 ± 3 miles per hour and the temperature is 8 ± 1 degrees Fahrenheit. Use the differential of C to estimate the maximum error in calculating the wind chill. Round your answer to four decimal places. O dC 18.8816 - dC+10.8816 dC = +4.4408 O dC = 19.4408 OdC = ±2.4408
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