Use any programming language to solve the following questions: Problem 1: Consider isentropic supersonic flow around a sharp expansion comer. The relationship between the Mach number before the comer (i.e., M1) and after the comer (i.e., M2), derived by Zucrow and Hoffman, is given by: = ( ( ) / ( ) / ) (( ( ) / ) ( ( ) / )) = ( + ) ( ) where is the specific heat ratio of the gas and equals to 1.4. Use the false-position method to find the value of M2 when M1 = 1.5 and = .