$(10$ points$)$

From Chapra Problem $2\mathrm{.}14$

$2\mathrm{.}14$ The density of freshwater can be computed as a functivn of temperature with the following cubic equation:

$=5\mathrm{.}5289{10}^{-8}{T}_C^5-8\mathrm{.}5016{10}^{-6}{T}_C^2$

$+6\mathrm{.}5622{10}^{-5}{T}_C+0\mathrm{.}99987$

where $=$ density $(\frac{g}{c}{m}^3)$ and $T_C=$ temperature $(C).$ Use MATLAB to generate a vector of temperatures 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 $T_C=\frac{5}{9}(T_F-32).$