(a) Determine the missing values in the divided difference table provided below. xo = ? ƒ[x] = 1 x₁ = 1 _ƒ[x₁] = 3 x₂ =? ƒ[x₂] = 3 x3 = 3_f[x3] =? (b) Using the above table, write down the interpolating polynomial in the Newton form. ƒ[x0, x1] = 2 f[x₁, x₂] = ? f[x2, x3] =0 [x0, x1, x₂] = ? ƒ[X1, f[x₁, x2, T3] = 0 ƒ[x0, X1, X2, X3] = ?
(a) Determine the missing values in the divided difference table provided below. xo = ? ƒ[x] = 1 x₁ = 1 _ƒ[x₁] = 3 x₂ =? ƒ[x₂] = 3 x3 = 3_f[x3] =? (b) Using the above table, write down the interpolating polynomial in the Newton form. ƒ[x0, x1] = 2 f[x₁, x₂] = ? f[x2, x3] =0 [x0, x1, x₂] = ? ƒ[X1, f[x₁, x2, T3] = 0 ƒ[x0, X1, X2, X3] = ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![(a) Determine the missing values in the divided difference table provided below.
xo
=
? _ƒ[x] = 1
x₁ =1_ƒ[x₁] = 3
x₂ = ? f[x₂]=3
x2
x3 = 3 f[3] =?
(b) Using the above table, write down the interpolating polynomial in the Newton form.
f[x0, x₁] = 2
ƒ[x₁, x₂] = ?
f[x2, x3] = 0
ƒ[xo, x₁, x₂] = ?
ƒ[x1, x2, x3] = 0
f[x0, x1, X2, X3] =?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91f76606-a4d9-42f0-be0d-7b1366a5593f%2F2a4c5418-2e6e-402d-9732-1dd6104bfd41%2F7da3csk_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Determine the missing values in the divided difference table provided below.
xo
=
? _ƒ[x] = 1
x₁ =1_ƒ[x₁] = 3
x₂ = ? f[x₂]=3
x2
x3 = 3 f[3] =?
(b) Using the above table, write down the interpolating polynomial in the Newton form.
f[x0, x₁] = 2
ƒ[x₁, x₂] = ?
f[x2, x3] = 0
ƒ[xo, x₁, x₂] = ?
ƒ[x1, x2, x3] = 0
f[x0, x1, X2, X3] =?
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