A series of function is given in Table Q2 as: Table Q2 f(x) (389 + eb) / log x (753 + eb) / log x (135 + e') / log x |(432+ e") / log x B= 4 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.
A series of function is given in Table Q2 as: Table Q2 f(x) (389 + eb) / log x (753 + eb) / log x (135 + e') / log x |(432+ e") / log x B= 4 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.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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A series of function is given in Table Q2 as:
Table Q2
f(x)
(389 + eb) / log x
(753 + e') / log x
(135 + e") / log x
(432+ e) / log x
B=4
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.
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