a) 1) - the graph showing the annual financial performance of a business company known as...

  

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a) 1) - the graph showing the annual financial performance of a business company known as SIME DARBY BERHAD. By using the following Profit Margin data (% - blue line) in Figure 2, Construct the Newton's Finite divided-difference table up to the fourth (4th) order. (Note: The use EXCEL software are allowed) i) ii) (5 marks) b) Find Lagrange Interpolating polynomial for the given values in Table 1 in (i). Hence use the polynomial to approximate y=f(x) on 13 January, 2022 03 March, 2022 (12 marks) c) Make conclusions on the accuracy of the approximations, in comparison to the exact data given in the website. (3 marks) 50000 45000 40000 35000 7.9 46,955 30000 25000 20000 15000 10000 5000 3,701 2013-06-30 7.5 44,447 3,353 2014-06-30 Annual Financial Highlight: SIME DARBY BERHAD (4197) 43,729 43,963 2,313 2015-06-30 5,5 2,402 2016-06-30 Profit Margin (%) 5.5 43,084 2,357 2017-06-30 5.7 33,828 1,919 2018-06-30 36,156 948.0 2019-06-30 2.2 36,934 820.0 2020-06-30 3.2 44,483 1,425 Revenue (RM mil) 2021-06-30 10,673 236.0 2022-06-30 (10) Profit After Tax (RM mil) Figure 2 (https://www.malaysiastock.biz/Corporate-Infomation.aspx?securityCode=4197) a) 1) - the graph showing the annual financial performance of a business company known as SIME DARBY BERHAD. By using the following Profit Margin data (% - blue line) in Figure 2, Construct the Newton's Finite divided-difference table up to the fourth (4th) order. (Note: The use EXCEL software are allowed) i) ii) (5 marks) b) Find Lagrange Interpolating polynomial for the given values in Table 1 in (i). Hence use the polynomial to approximate y=f(x) on 13 January, 2022 03 March, 2022 (12 marks) c) Make conclusions on the accuracy of the approximations, in comparison to the exact data given in the website. (3 marks) 50000 45000 40000 35000 7.9 46,955 30000 25000 20000 15000 10000 5000 3,701 2013-06-30 7.5 44,447 3,353 2014-06-30 Annual Financial Highlight: SIME DARBY BERHAD (4197) 43,729 43,963 2,313 2015-06-30 5,5 2,402 2016-06-30 Profit Margin (%) 5.5 43,084 2,357 2017-06-30 5.7 33,828 1,919 2018-06-30 36,156 948.0 2019-06-30 2.2 36,934 820.0 2020-06-30 3.2 44,483 1,425 Revenue (RM mil) 2021-06-30 10,673 236.0 2022-06-30 (10) Profit After Tax (RM mil) Figure 2 (https://www.malaysiastock.biz/Corporate-Infomation.aspx?securityCode=4197)

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