3 votes 3 votes If f(l) = 2, f(2) = 4 and f(4) = 16, what is the value of f(3) using Lagrange's interpolation formula? 8 8(1/3) 8(2/3) 9 Numerical Methods gateit-2004 numerical-methods lagranges-interpolation normal out-of-syllabus-now non-gate + – Ishrat Jahan asked Nov 2, 2014 edited Nov 23, 2023 by Hira Thakur Ishrat Jahan 3.6k views answer comment Share Follow See 1 comment See all 1 1 comment reply harypotter0 commented Nov 5, 2020 reply Follow Share Not in syllabus anymore. 0 votes 0 votes Please log in or register to add a comment.
Best answer 1 votes 1 votes Answer: B f(3) = [(3-2)(3-4)*2]/[(1-2)(1-4)] + [(3-1)(3-4)*4]/[(2-1)(2-4)] + [(3-1)(3-2)*16]/[(4-1)(4-2)] = -2/3 + 8/2 + 16/3 = 26/3 = 8(1/3). Ref: https://mat.iitm.ac.in/home/sryedida/public_html/caimna/interpolation/lagrange.html Rajarshi Sarkar answered Apr 7, 2015 selected May 11, 2015 by Rajarshi Sarkar Rajarshi Sarkar comment Share Follow See all 2 Comments See all 2 2 Comments reply shu commented Dec 30, 2016 reply Follow Share Is this out of syllabus now ? 3 votes 3 votes felics moses 1 commented Nov 22, 2023 reply Follow Share $\frac{26}{3} \; is\; 8\tfrac{2}{3}$ 0 votes 0 votes Please log in or register to add a comment.