Question-01 Find the root of the function f(x) Se40 Using Bisection method and False position method. The root lies between 1 and 2 Check for convergence by calculating the E, for each step. Stopping criterion is E,s 5%, which method is converging faster? Find the root of the function x-sin(x) = 0 using the fixed point iteration method. Take xo. 1 and the stopping criterion ?,-0.1% Question-03 A football player takes a free kick to try and score a goal. His plan is to make the ball go over the goal-keeper's head. Assuming that his kick give the ball an initial velocity Vo) of 25 m/s, find the angle 80 for which the player will score the goal. The trajectory (path) of the ball can be modeled using the following equation. 0 2m 40 m In this equation yo is the initial height of the ball and the final target height is given in the figure above. Use any numerical method you have learnt to solve this problemm. eas