(b) A series of function is given in Table Q2 as: Table Q2 4.0 |(389 + e®) / log x (753 + eb) / log x (135 + eb) / log x (432+ e®) / log x 4.5 5.5 6.0 (1) Interpolate f(5) using the points x = 4 and x = 6 (ii) Interpolate f (5) using the points x = 4.5 and x = 5.5 (iii) Given the exact value of log (5) = (485 + e*) / log 5, compare the relative error of (i) and (ii) and deduce your conclusion. please use interpolation of 2 points Lagrange. NOTE: b is the last 3 digits of your matric number.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 47E
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USE:B=210

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A series of function is given in Table Q2 as:
Table Q2
4.0
(389 + e) / log x
(753 + eb) / log x
(135 + e) / log x
(432+ eb) / log x
4.5
5.5
6.0
(1)
Interpolate f(5) using the points x = 4 and x = 6
(ii)
Interpolate f(5) using the points x = 4.5 and x = 5.5
Given the exact value of log (5) = (485 + eb) / log 5, compare the relative error
of (i) and (ii) and deduce your conclusion.
(iii)
please use interpolation of 2 points Lagrange.
NOTE: b is the last 3 digits of your matric number.
Transcribed Image Text:A series of function is given in Table Q2 as: Table Q2 4.0 (389 + e) / log x (753 + eb) / log x (135 + e) / log x (432+ eb) / log x 4.5 5.5 6.0 (1) Interpolate f(5) using the points x = 4 and x = 6 (ii) Interpolate f(5) using the points x = 4.5 and x = 5.5 Given the exact value of log (5) = (485 + eb) / log 5, compare the relative error of (i) and (ii) and deduce your conclusion. (iii) please use interpolation of 2 points Lagrange. NOTE: b is the last 3 digits of your matric number.
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