: Given the following table find x3.fo.Af, A. 11 fo j 0 2 on xj 4 4 20 14 30 Af. 30 Af₁ Afz A²%. A²fo 2 A³f. 1666

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 42E
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Given the following table find x3, f0, ...
1001), (7-5,0.2663), (7.7,0.2346)
H.W: Given the following table find xa.fo.f..Aff.
11
0
Where:
1
x-Xo
h
2
f(x) = fo +rªfo +r-
0
4
4
5M
20
Newton's Forward Interpolation Formula
Xп - хо
h =
71
14
35 / 57
30
W
Af.
(r= ¹)^² + 7 (-1)(²-
(7-1)(-2) A³ fo+
(r-1)
r
2!
3!
30
(r − 1) ...... (r − n + ¹) "fo
-
T
n!
Af₁
Afz
35
n: number of points
A²1.
A²ƒ.
2
**** ***
A³f.
1666
O
THE
Transcribed Image Text:1001), (7-5,0.2663), (7.7,0.2346) H.W: Given the following table find xa.fo.f..Aff. 11 0 Where: 1 x-Xo h 2 f(x) = fo +rªfo +r- 0 4 4 5M 20 Newton's Forward Interpolation Formula Xп - хо h = 71 14 35 / 57 30 W Af. (r= ¹)^² + 7 (-1)(²- (7-1)(-2) A³ fo+ (r-1) r 2! 3! 30 (r − 1) ...... (r − n + ¹) "fo - T n! Af₁ Afz 35 n: number of points A²1. A²ƒ. 2 **** *** A³f. 1666 O THE
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