I need MatLab code, show all work. Will thumbs up$.$The density of freshwater can be computed as a function of temperature with the following cubic

equation:

$=5{10}^{-8}{T}_c^3-8{10}^{-6}{T}_c^2+6{10}^{-5}{T}_c+1$

where $=$ density $(\frac{g}{c}{m}^3)$ and $T_C=$ temperature $(C).$ Use MATLAB to generate a vector of

temperatures $T_F$ ranging from $32F$ to $93\mathrm{.}2F$ using increments of $3\mathrm{.}6F.$ Convert this vector to

degrees Celsius and then compute a vector of densities based on the cubic formula. Create a plot of

$$ versus $T_C.$ Recall that $T_C=\frac{5}{9}(T_F-32).$ Show all MATLAB codes and sketch the figure.