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3) It is desired to determine the value of x that corresponds to f(x) = 0.2 for the following tabulated data: 0 0.5 1 1.0 1.5 0.3679 2.0 y = f(x) 0.6065 Note that the values in the table were generated with the function f(x) = e-*. a) Use quadratic interpolation of x versus y. Select the base points to obtain the best possible accuracy. b) Use inverse interpolation with quadratic interpolation and the quadratic formula. c) Determine the true value analytically 0.2231 2.5 0.1353 3.0 0.0821 0.0498

3) It is desired to determine the value of x that corresponds to f(x) = 0.2 for the following tabulated data: 0 0.5 1 1.0 1.5 0.3679 2.0 y = f(x) 0.6065 Note that the values in the table were generated with the function f(x) = e-*. a) Use quadratic interpolation of x versus y. Select the base points to obtain the best possible accuracy. b) Use inverse interpolation with quadratic interpolation and the quadratic formula. c) Determine the true value analytically 0.2231 2.5 0.1353 3.0 0.0821 0.0498

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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Please do parts (A) and (B)

3) It is desired to determine the value of x that corresponds to f(x) = 0.2 for the following tabulated data: 0 0.5 1.0 0.6065 1.5 2.0 2.5 y = f(x) 1 0.3679 0.2231 0.1353 Note that the values in the table were generated with the function f(x) = e-*. 0.0821 3.0 0.0498 a) Use quadratic interpolation of x versus y. Select the base points to obtain the best possible accuracy. b) Use inverse interpolation with quadratic interpolation and the quadratic formula. c) Determine the true value analytically. d) Compute the true percent relative error for parts (a) and (b).
Transcribed Image Text:3) It is desired to determine the value of x that corresponds to f(x) = 0.2 for the following tabulated data: 0 0.5 1.0 0.6065 1.5 2.0 2.5 y = f(x) 1 0.3679 0.2231 0.1353 Note that the values in the table were generated with the function f(x) = e-*. 0.0821 3.0 0.0498 a) Use quadratic interpolation of x versus y. Select the base points to obtain the best possible accuracy. b) Use inverse interpolation with quadratic interpolation and the quadratic formula. c) Determine the true value analytically. d) Compute the true percent relative error for parts (a) and (b).
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