Part d? Emply inverse interpolation to determine the value of x that corresponds to f (x) = 0.85 forthe following tabulated data generated with the functionx?f(x) = 21+x21| 2345f(x)0.50.80.90.941176 0.961538(a) Determine the correct value analytically.(b) Use cubic interpolation of x versus y or f (x). Compute the true percent relative error.(c) Use inverse interpolation with quadratic interpolation and the quadratic formula.Compute the true percent relative error.(d) Use inverse interpolation with cubic interpolation and bisection. Compute the truepercent relative error.(e) Compare the results from (b), (c), and (d) and comment on your findings.

Part(d): Given, fx=x21+x2fx=0.85 Solving the above by cubic spline we will get,…

Answered: (d) Use inverse interpolation with…

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(d) Use inverse interpolation with cubic interpolation and bisection. Compute the true percent relative error.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

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Question

Part d?

Emply inverse interpolation to determine the value of x that corresponds to f (x) = 0.85 for
the following tabulated data generated with the function
x?
f(x) = 2
1+x2
1
| 2
3
4
5
f(x)
0.5
0.8
0.9
0.941176 0.961538
(a) Determine the correct value analytically.
(b) Use cubic interpolation of x versus y or f (x). Compute the true percent relative error.
(c) Use inverse interpolation with quadratic interpolation and the quadratic formula.
Compute the true percent relative error.
(d) Use inverse interpolation with cubic interpolation and bisection. Compute the true
percent relative error.
(e) Compare the results from (b), (c), and (d) and comment on your findings.

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