HW#$2-$PHY$222$

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If the change in water's density, in the temperature range $0C$ to $20C,$ is given by $=-T$ with the coefficient of volume expansion given by $=a+bT+c{T}^2$ with $a=-6\mathrm{.}43{10}^{-5}(C{)}^{-1},b=1\mathrm{.}70{10}^{-5}(C{)}^{-2}$ and $c=-2\mathrm{.}02{10}^{-7}(C{)}^{-3},$ show that water has its greatest density at about $4\mathrm{.}0C$