QUESTION 1 In this question you will be using Newton's Method to find a solution to the equation x = cos(1, 1x). a) Explain why the function f(x) = cos(1. 1x) - x has a root (or x-intercept) between x = 0 and x = 3, b) Use two applications of Newton's method to find this root, starting from X = 0. Show your working, including results of the intermediate application(s). c) Hence (or otherwise) find a solution to the equation x = cos(1.1x), explaining how this answer is connected with part (b). d) Write your answer to 4 decimal places, in the box below. QUESTION 2 A farmer has 500 metres of fencing to construct a rectangular enclosure, plus two internal fences to divide the enclosure into three rectangular sections of equal area, as shown in the picture below. Following the steps below, you will find the dimensions of the enclosure and internal fences which will maximise the total area