Please answer as soon as possible, and show the work by hand if possible. It is easier for me to visualize the process. Thank you so much! $3.(4$ points$)$ Using the method of characteristics, compute flow for a two dimensional, minimum$-$length nozzle for the expansion of air to a design exit Mach number of $2.$ a$.$ Fill all the values of the table. An initial line of data is given. You MUST show all work. b$.$ Compute the location of point $1($along symmetry plane$).$ Assume location of b is x$=0,$ y$=0$ and location of a is x$=0,$ y$=1.$ Point K$\_-=\backslash$theta $+$

u K$\_+=\backslash$theta $-$

u $\backslash$theta $=$K$\_-+$K$\_+/2[0]$

u $=$K$\_--$K$\_+/2[0]$ M $10\mathrm{.}3800\mathrm{.}190\mathrm{.}191\mathrm{.}026421\mathrm{.}191\mathrm{.}191\mathrm{.}092334\mathrm{.}194\mathrm{.}191\mathrm{.}225247\mathrm{.}197\mathrm{.}19510\mathrm{.}19613\mathrm{.}19713\mathrm{.}1989101112131415161718192021222324252627$