QUESTION 1A scientist has executed one experiment to identify the values of an unknown function f(x). Theresult of the experiment is tabulated in Table 1:Table 1. Experiment result of unknown function0.00001.0000f(x)0.17610.30100.47720.54411.50002.00003.00003.5000а)Based on Table 1, write the Newton's Interpolating Polynomial formula of degree four.b)Identify the coefficient of bo, bi and b2 for the Newton's Interpolating Polynomials ofdegree four by showing the formula and the workflow.Identify the coefficient of b; and b4 for the Newton's Interpolating Polynomials of degreefour by showing the formula and the workflow.c)d)Substitute all the coefficients in the equation that you have written in part (a).Estimate the unknown function with the value of x = 2.5 by using the Newton'sInterpolating Polynomials of degree four.e)f)Find the absolute error of the estimation if log10 x have been identified as the actual valueof the unknown function.JHUW uai uie valuc UI N TUI WHICH I 13 a H uuI 15 giVCH Uy n –le-1)'

NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

A scientist has executed one experiment to identify the values of an unknown function f(x). The result of the experiment is tabulated in Table 1: Table 1. Experiment result of unknown function 0.1761 1.5000 0.4772 3.0000 0.0000 0.3010 0.5441 3.5000 f(x) 1.0000 2.0000 a) Based on Table 1, write the Newton's Interpolating Polynomial formula of degree four. b) Identify the coefficient of bo, bị and b; for the Newton's Interpolating Polynomials of degree four by showing the formula and the workflow.

A scientist has executed one experiment to identify the values of an unknown function f(x). The result of the experiment is tabulated in Table 1: Table 1. Experiment result of unknown function 0.1761 1.5000 0.4772 3.0000 0.0000 0.3010 0.5441 3.5000 f(x) 1.0000 2.0000 a) Based on Table 1, write the Newton's Interpolating Polynomial formula of degree four. b) Identify the coefficient of bo, bị and b; for the Newton's Interpolating Polynomials of degree four by showing the formula and the workflow.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 66E

See similar textbooks