2. (10 pts) An experiment is performed to define the relationship between applied stress and the time to fracture for a type of stainless steel. Eight different values of stress are applied, and the resulting data are Applied stress x, kg/mm? | 5 10 15 20 25 30 35 40 Fracture time y, hr 40 30 25 40 18 20 22 15 Plot these data in Matlab and then develop a fitting equation to predict the fracture time for an applied stress of 23 kg/mm using the following methods. i. (5 pts) Quadratic Lagrangian Polynomial Interpolation Method (solve by hand) ii. (5 pts) Quadratic Newton Divided Difference Polynomial Interpolation Method(solve by hand)