Problem $4$: Function with More than One Variable

Consider a model for the wind chill temperature as a function of the actual air temperature and the wind speed. This model is curve fitted from several sets of data points $($curve fitting is a subject to be studied in ME$2500).$

a$)$ Using a function handle, define a MATLAB function that calculates the wind chill temperature according to the following formula:

$T_{wc}=35\mathrm{.}74+0\mathrm{.}6215T_a-35\mathrm{.}75V^{0\mathrm{.}16}+0\mathrm{.}4275T_a{V}^{0\mathrm{.}16}$

where, the actual air temperature $T_a$ and wind speed $V$ are inputs to the function, and the wind chill temperature $T_{wc}$ is the output. For this equation, the units for temperature and wind speed are $F$ and $mph,$ respectively.

b$)$ Use your function to calculate the wind chill temperature for $T_a=25F$ and $V=15mph.$

c$)$ Write a script file that does the following operations. Using the MATLAB built$-$in function plot function, plot $T_{wc}($in red$)$ for $T_a=45F$ and $V=0$ to $50mph.$ On the same graph, plot $T_{wc}($in blue$)$ for $T_a=15F$ and $V=0$ to $50mph.$ Be sure to label your graph properly, including the legends, either by command lines or using the plot toolbox.

d$)$ Repeat part $($c$)$ by using the fplot function.