$(3$ points$)$ A nozzle designed $($for perfectly expanded flow$)$ for $M_{\text{e}\text{x}\text{i}\text{t}}=1\mathrm{.}8$ in the atmosphere has reservoir pressure $p_{0_{\text{r}\text{e}\text{s}}}=5\mathrm{.}7$atm and reservoir temperature $T_{0_{\text{r}\text{e}\text{s}}}=1200K.$ The design was obtained with the method of characteristics and the calculations for points $1-4$ are shown in the table. Point $5$ is on the symmetry line.

a$.$ Complete the table below for all points $5-7.$ Also, determine velocities for all points.

$\backslash$table$[[$Point$,K_{-}=+$

$u,K_{+}=-$

$u,=\frac{K_{-}+K_{+}}{2},$

$u=\frac{K_{-}-K_{+}}{2},M,P[Pa],T[K],V[\frac{(m)}{(s)}]$