Please provide in depth solution with explanations and don't use Ai assistance. Handwritten work with explanations would be most appreciated. Please don't use previous chegg or online answers or I will report for plagiarism/dishonesty. Thank you very much. If possible provide the code in MatLab as well

1. Plot the Rayleigh line for a flow with, at one point, pTsM=1.013105Pa=300K=6.867103kgKJ=0.25 Mark the following points on the curve: M=0.1M=0.2M=0.5M=1.0M=2.0M=5.0 Hint: Parameterize the Rayleigh line by Mach number, rather than by density. Set up a vector of Mach numbers, and use the static-to-sonic relations (and the Gibbs relation) to calculate h(M) and s(M)