THIS QUESTION NEEDS TO BE SOLVED USING MATLAB ONLY!!! PLEASE POST MATLAB PROGRAM USED!

Q$2)$ The density of freshwater can be computed with the cubic equation

$=5\mathrm{.}5{10}^{-8}{T}_c^3-8\mathrm{.}5{10}^{-6}{T}_c^2+6\mathrm{.}6{10}^{-5}{T}_c+1\mathrm{.}0$

where $$ is the density in $\frac{g}{c}{m}^3$ and $T_c$ is the temperature in $C$

Using the basepoint $T_c=10C,$ compute the density of freshwater at $T_c=20C,$ with $1^{st},2^{nd}$ and $3^{rd}$ order

Taylor series expansion. What is the relative error in each case?