Suppose the Formula for Wind Chill C (In Degrees Fahrenheit) $C = 35.71 + 0.6217 T - 35.72 v ^ { 0.16 } + 0.4272 T v ^ { 0.16 }$

Multiple Choice

Suppose the formula for wind chill C (in degrees Fahrenheit) is given by $C = 35.71 + 0.6217 T - 35.72 v ^ { 0.16 } + 0.4272 T v ^ { 0.16 }$ where $v$ is the wind speed in miles per hour and $T$ is the temperature in degrees Fahrenheit. The wind speed is $23 \pm 3$ miles per hour and the temperature is $8 ^ { \circ } \pm 1 ^ { \circ }$ Fahrenheit. Use $d C$ to estimate the maximum possible propagated error in calculating the wind chill. Round your answer to four decimal places.

A) $d C = \pm 8.4405$
B) $d C ^ { \prime } = \pm 9.8810$
C) $d C = \pm 2.4405$
D) $d C = \pm 8.8810$
E) $d C = \pm 5.4405$