Suppose the formula for wind chill C (in degrees Fahrenheit) is given by C = 35.76+0.6216T- 35.75v0.16 +0.4275Tv0.16 where vis the wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is 23±13 miles per hour and the temperature is 8o ± 1o Fahrenheit. Use dC(differential) to estimate the maximum possible propagated error in calculating the wind chill.
Find the dimensions of the right circular cylinder of a minimum surface area (including the circular ends) with a volume of 32π in3.