The density of freshwater can be computed as a function of temperature with the following cubic equation:

ρ = 5.5289 × 10⁻⁸T³_C − 8.5016 × 10⁻⁶T²_C + 6.5622 × 10⁻⁵ T_C + 0.99987

where ρ = density (g/cm³) and TC = temperature (°C). Use MATLAB to generate a vector of temperatures ranging from 32°F to 93.2°F using increments of 3.6°F. Convert this vector to degrees Celsius and then compute a vector of densities based on the cubic formula. Create a plot of ρ versus T_C. Recall that T_C = 5/9(TF − 32).