If you are having trouble with problem 5, go back and take a look at the lecture "Stability" to see a related derivation of tangent line properties, for the liquid-vapor transition.
Also, don't forget that the conditions for the critical point for the liquid-vapor transition were:
d^2 a /dv^2 = 0 and d^3 a / dv^3 = 0
A similar set of two equations exists for the mixture.
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