Given that volume change of mixing A and $B$ is

$V^M=8\mathrm{.}4x_A^2{x}_B(c\frac{c}{m}ol)$

a$.$ Calculate and tabulate, $V^M$ for mole fractions of $x_A$ ranging from $0$ to $1.$

b$.$ Plot $V^M$ vs $x_A$

c$.$ Calculate the equations for $\frac{}{b}ar(V{)}_A^M$ and $\frac{}{b}ar(V{)}_B^M.$

d$.$ Calculate, tabulate, and plot $\frac{}{b}ar(V{)}_A^M$ and $\frac{}{b}ar(V{)}_B^M$ for mole fractions of $x_A$ ranging from $0$ to $1.$

e$.$ Show that calculated $\frac{}{b}ar(V{)}_A^M$ and $\frac{}{b}ar(V{)}_B^M$ are correct by calculating $V^M$ from them.