Homework (1)- Spring 2021 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 (.e., M) and after the comer (ie, M), derived by Zucrow and Hoffman, is given by: 1/2 ==## (tan-- (M. -4** M 8 = - tan -((tan-+{m} 1)'?)-(tan-h({ )')) b O (y +1) ba (-1) where y is the specific heat ratio of the gas and equals to 1.4 Use the false-position method to find the value of M, when Mi = 1.5 and 8 = 10 degree. I Find the intersection point of the following functions, using Newton-Raphson