A series of function is given in Table Q2 as: Table Q2 f(x) (389 + eb) / log x (753 + eb) / log x (135 + eb) / log x (432+ eb) / log x 4.0 4.5 5.5 6.0 (i) 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 + e®) / log 5, compare the relative error of (i) and (ii) and deduce your conclusion. (iii) NOTE: b is the last 3 digits of your matric number. For example, a student with the matric number of AD187014 will have the value of b = 14.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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(b)
A series of function is given in Table Q2 as:
Table Q2
f(x)
(389 + eb) / log x
(753 + eb) / log x
(135 + eb) / log x
(432+ eb) / log x
4.0
4.5
5.5
6.0
(i)
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.
NOTE: b is the last 3 digits of your matric number. For example, a student
with the matric umber of AD187014 will have the value of b = 14.
Transcribed Image Text:(b) A series of function is given in Table Q2 as: Table Q2 f(x) (389 + eb) / log x (753 + eb) / log x (135 + eb) / log x (432+ eb) / log x 4.0 4.5 5.5 6.0 (i) 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. NOTE: b is the last 3 digits of your matric number. For example, a student with the matric umber of AD187014 will have the value of b = 14.
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