Write a computer program to solve the inverse conical shock wave problem in which the shock wave angle is given and the corresponding cone semi-angle is found. The input to your program should consist of the gas specific heat ratio y, the freestream Mach number M,, the shock wave angle 6,, and the angular increment used in the numerical integration ? ? . At a minimum, the output should consist of the corresponding cone semi-angle , the stagnation pressure ratio across the shock Po2/Poj, the cone surface Mach number Mc, the cone surface pressure coefficient (Cp)c, and at each angular location, the velocity components v, and vy, the speed ratio M , the Mach number M, and the local-to-freestream static pressure, static temperature, and static density ratios PP, TT, and ??? To demonstrate your program over a range of parameters, do the following problem For ?-1.405 and M1-20, generate and plot the solution curves for g vs. ?. (C,), vs. and Mc vs. a over the range 30