4. Given the data below: x 1.0 1.2 1.4 1.6 1.8 2.0 f(x) 2.2183 2.6001 3.0752 3.6730 4.4296 5.3891 i. State the number of possible solutions could be obtained to approximate f'(2.0) by using 3-point backward formula. ii. Calculate all possible answer(s) you state in (i). iii. Given the actual value for f'(2.0) is 5.3891. Compare the result obtained in (ii) and explain the error of the estimation in term of h.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 72E
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Q4 Numerical Methods

4. Given the data below:
X
1.0
1.2
1.4
1.6
1.8
2.0
f(x) 2.2183 2.6001 3.0752 3.6730 4.4296 5.3891
i.
State the number of possible solutions could be obtained to approximate
f'(2.0) by using 3-point backward formula.
ii.
Calculate all possible answer(s) you state in (i).
iii.
Given the actual value for f'(2.0) is 5.3891. Compare the result obtained in
(ii) and explain the error of the estimation in term of h.
Transcribed Image Text:4. Given the data below: X 1.0 1.2 1.4 1.6 1.8 2.0 f(x) 2.2183 2.6001 3.0752 3.6730 4.4296 5.3891 i. State the number of possible solutions could be obtained to approximate f'(2.0) by using 3-point backward formula. ii. Calculate all possible answer(s) you state in (i). iii. Given the actual value for f'(2.0) is 5.3891. Compare the result obtained in (ii) and explain the error of the estimation in term of h.
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