f. Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF) at x0= 1.55 1.5 1.55 1.6 1.65 1.7 f(x) 4.375 4.823875 5.296 5.72125 6.313
f. Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF) at x0= 1.55 1.5 1.55 1.6 1.65 1.7 f(x) 4.375 4.823875 5.296 5.72125 6.313
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 45E
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f. Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF) at x0= 1.55
formula given
![f.
Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF) at x0= 1.55
1.5
1.55
1.6
1.65
1.7
f(x)
4.375
4.823875
5.296
5.72125
6.313](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3af7c690-a47b-4d59-94b3-357a882b23e2%2F11fccdcc-e340-40b0-87ef-9ddc16886b28%2Fbk1ctyc_processed.png&w=3840&q=75)
Transcribed Image Text:f.
Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF) at x0= 1.55
1.5
1.55
1.6
1.65
1.7
f(x)
4.375
4.823875
5.296
5.72125
6.313
![V.
FORWARD NEWTON - GAUSS INTERPOLATION FORMULA (FNGIF)
r(r-1)82fo +
(r+ 1)r(r -1)(r -2) 84fo +
f(x) = fo + rdf1/2 +
2!
(r+1)r(r - 1)
-8³f1/2 +
3!
4!
(r+ 2)(r + 1)r(r - 1)(r- 2)
8°f1/2 +
5!
Where:
x- Xo
r =
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3af7c690-a47b-4d59-94b3-357a882b23e2%2F11fccdcc-e340-40b0-87ef-9ddc16886b28%2F3fxd96k_processed.png&w=3840&q=75)
Transcribed Image Text:V.
FORWARD NEWTON - GAUSS INTERPOLATION FORMULA (FNGIF)
r(r-1)82fo +
(r+ 1)r(r -1)(r -2) 84fo +
f(x) = fo + rdf1/2 +
2!
(r+1)r(r - 1)
-8³f1/2 +
3!
4!
(r+ 2)(r + 1)r(r - 1)(r- 2)
8°f1/2 +
5!
Where:
x- Xo
r =
h
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