4. Evaluate 29 to five decimal places by Newton-Raphson iterative method. (10 pts.) 5. Determine the lowest positive root of f(x) = 7 sin(x) e-x-1: (a) graphically; (b) using the Newton-Raphson method (three iterations, x = 0.3); (c) using the secant method (three iterations, x-1 = 0.4 and x = 0.3). (15 pts.) 6.) The floating ball has a specific gravity of 0.6 and has a radius of 5.5cm. You are asked to find the depth to which the ball is submerged when floating in water. The equation that gives the depth x to which the ball is submerged under water is given by x 0.165x + 3.993x10-4 = 0 Use False-Position method of finding roots of equations to find the depth x to which the ball is submerged under water. Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error at the end of each iteration. (20 pts.)