Near-infrared spectroscopy (NIRS) is an analytical method that uses electromagneticspectrum from 780 nm to 2500 nm in various non-destructive measurementapplications. The measured signal of five wavelengths are tabulated in the Table Q1.To improve the quality of the NIRS signals, the rate of change can be computed toeliminate unwanted signals.Table Q110001150Wavelength, x (nm)Measured Signal, E(x) (unit)75090095012.3487.23332.12455.74429.41By applying all appropriate numerical first order derivative methods to the followingquestions:(i)Estimate the rate of change of the signal when the wavelength was 950 nm usingan interval of 50 nm.(ii)Estimate the rate of change of the signal when the wavelength was 950 nmusing an interval of 200 nm.(iii) Identify the best method in estimating the rate of change of the signals with aconcise justification if the exact solution is 2.4566.

(i) given h=50 nm first use forward difference method f'a=fa+h-fah E'950=E1000-E95050 substitute…

Answered: Table Q1 1150 Wavelength, x (nm)…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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