C$++$

How cold is it outside? The temperature alone is not enough to provide the answer. Other factors including wind speed, relative humidity, and sunshine play important roles in determining coldness outside. In $2001,$ the National Weather Service $($NWS$)$ implemented the new wind$-$chill

temperature to measure the coldness using temperature and wind speed. The formula is given as follows:

$t_{wc}=35\mathrm{.}74+0\mathrm{.}6215t_a-35\mathrm{.}75v^{0\mathrm{.}16}+0\mathrm{.}4275t_a{v}^{0\mathrm{.}16}$

where $t_a$ is the outside temperature measured in degrees Fahrenheit and $v$ is the speed measured in miles per hour. $t_{wc}$ is the wind$-$chill temperature. The formula cannot be used for wind speeds below $2mph$ or for temperatures below or above $41F.$

Write a program that prompts the user to enter a temperature between $-58F$ and $41F$ and a wind speed greater than or equal to $2$ and displays the wind$-$chill temperature.

Here is a sample run:

Enter the temperature in Fahrenheit between $-58$ and $41$: $5\mathrm{.}3$

Enter the wind speed miles per hour $($must be greater than or equal to $2)$: $6$

The wind chill index is $-5\mathrm{.}56707$