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Table Q1 1150 Wavelength, x (nm) Measured Signal, E(x) (unit) 750 900 950 1000 12.34 87.23 332.12 455.74 429.41 By applying all appropriate numerical first order derivative methods to the following questions: Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 50 nm. (i) (ii) Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 200 nm.

Table Q1 1150 Wavelength, x (nm) Measured Signal, E(x) (unit) 750 900 950 1000 12.34 87.23 332.12 455.74 429.41 By applying all appropriate numerical first order derivative methods to the following questions: Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 50 nm. (i) (ii) Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 200 nm.

Advanced Engineering Mathematics
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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Near-infrared spectroscopy (NIRS) is an analytical method that uses electromagnetic spectrum from 780 nm to 2500 nm in various non-destructive measurement applications. 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 to eliminate unwanted signals. Table Q1 1000 1150 Wavelength, x (nm) Measured Signal, E(x) (unit) 750 900 950 12.34 87.23 332.12 455.74 429.41 By applying all appropriate numerical first order derivative methods to the following questions: (i) Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 50 nm. (ii) Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 200 nm. (iii) Identify the best method in estimating the rate of change of the signals with a concise justification if the exact solution is 2.4566.
Transcribed Image Text:Near-infrared spectroscopy (NIRS) is an analytical method that uses electromagnetic spectrum from 780 nm to 2500 nm in various non-destructive measurement applications. 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 to eliminate unwanted signals. Table Q1 1000 1150 Wavelength, x (nm) Measured Signal, E(x) (unit) 750 900 950 12.34 87.23 332.12 455.74 429.41 By applying all appropriate numerical first order derivative methods to the following questions: (i) Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 50 nm. (ii) Estimate the rate of change of the signal when the wavelength was 950 nm using an interval of 200 nm. (iii) Identify the best method in estimating the rate of change of the signals with a concise justification if the exact solution is 2.4566.
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