Python:Finding minimum pressure with Newton-Raphson method

Objective: In determining the minimum cushion pressure needed to break a given thickness of ice using an air cushion vehicle, Muller (“Ice Breaking with an Air Cushion Vehicle”) inMathematical Modeling: Classroom Notes in Applied Mathematics, SIAM 1987) derived the equation ``p^3 ⋅ ( 1 − β^3 ) + ( 0.4…