Consider the nonlinear equation f(x) = x² - 4 sin x = 0 whose solution is to be approximated numerically. Apart from x=0 the root equation has another root in [1, 2.5]. (Hint: x in radians) \text { Sketch the graph to be used to approximate the root using the fixed point scheme, } x=\frac{4 \sin x}{x} \text { for } x = [1, 2.5]. Show on the graph a geometrical illustration of whether the fixed point scheme will converge to the root starting at xo = 1.5. Perform three iterations of Newton's method for the function in (a) above, using x(0) = 1.5 as the initial (10)solution. Perform three iterations of the fixed point scheme, x = 4 sin x/x to approximate the root using x0 1.5 m the initial approximation