(a) Give the geometric interpretation of the secant method for approximating the solution of the root equation f(x) = 0 and illustrate your explanation with a graphical description. (b) Use the sketch curve to roughly locate all the roots of the equation x(x-1)-e=0. Use Newton's method to find a root of the above equation accurate to 10-4. (c) Suppose newton's method is to be used to solve the following system of nonlinear equations { 2 = xy 2+ y +2y = 1 Write down explicitly the system of equations of the iterative scheme and complete one iteration, using To = 1 and yo 0 as starting values. =