Use Matlab

The density of water can be calculated using the following formulae: p = c1T3 + c2T2 + c3T + c4 where p = density, T = temperature, and the cs are coefficients. The values of c depend on units of temperature and density. Ultimately, you will want to create a function that allows for different units for temperature, in addition to not requiring a temperature input and outputting the density at standard temperature (20C). If temperature units are not specified, the function should assume the units are in Celsius. The function can be called from the command line as the following: d = dens d = dens(T) d = dens(T, units) The equation for water density is only valid between 0 - 100 C. The coefficients for c are the following when the units are in Celsius, and the resulting density is in [kg/m3]. c1 = 1.54E-5 c2 = -5.87E-3 c3 = 1.79E-2 c4 = 1.00E+3 Write an algorithm for the function described above. Create a function as described above. You will need to include: nargin, error check for correct temperature input, and likely some if/elseif statements. Run the function within a script m-file to create a plot of density as a function of temperature between 50 and 200F.