Use Newton's method with x = X1 = 1 to find the root of the equation x - x = 4 correct to six decimal places. Solve the equation in part (a) using X x = = 0.6 as the initial approximation. Solve the equation in part (a) using X x = = 0.57. (You definitely need a programmable calculator for this part.) Graph f(x)=x. - x - 4 and its tangent lines at x = 1, 0.6, and 0.57. y 2 y 1- 1 -1.0 -0.5 -1 X -2 -1.0 Q.5 05 1.0 10 05 X = 0.57 y 1- x1 = 0.6 x = 1 X = 0.57 X 0.5 1.0 1.5 2.0 -3 X = 1 X = 0.6 -5 y 5 X = 0.6 X = 0.57 05 10 1-