1. Given the following system of simultaneous equations: 3x - 4y + 5z = 10 x + 10z = 20 4y - 8z = 30 Find x, y, and z using the Gauss-Jordan II algorithm. To receive full credit, you must show all steps (25 Points). 2. Given the following equation: f(x) = ex X Find the equation's roots using the Newton-Raphson method with a starting point of -2.0 and 3 iterations (25 Points). 3. Given the following equation: f(x) = x3 - 3x2 - 4x + 5 (a) Find the integral over the range from -2.0 to 4.0 using Simpson's rule and a step-size of 1.0 (15 Points) (b) What would be the integral over the same range as (a) using Gaussian Quadrature? (10 Points)