For given points (0,5), (1,6), (2, 13) Io = 0, f[ro] = 5 ₁=1, f[₁] = 6 2=1, f[12] = 13 Newton divided diffrences [10, 11] = = 1 fz1-f zo 71-70 f|z₂-fz₁] Z2-21 √ [1₁, 1₂] = 7
For given points (0,5), (1,6), (2, 13) Io = 0, f[ro] = 5 ₁=1, f[₁] = 6 2=1, f[12] = 13 Newton divided diffrences [10, 11] = = 1 fz1-f zo 71-70 f|z₂-fz₁] Z2-21 √ [1₁, 1₂] = 7
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Nc
![For given points
(0,5), (1,6), (2, 13)
To= 0, f [ro] = 5
I1 =
= 1, f[2₁] = 6
12= 1, f[₂] = 13
Newton divided diffrences
f[0, 1]
f[#1, #₂]
12
10
8
Find
=
=
f|z₁-f|zo)
Z1-Z0
fz₂-fz₁]
I2-21
0.5
f[10, 1₁, 1₂]
-
1.0
1
7
1.5
2.0
Calculate
p(x) = f[0, 1, ₂] (x − xo)(x − ₁) +ƒ [10, ₁] (x − xo) + f[ro]
and calculate
p(x₁) =
p(x₂)=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F925785ca-8c38-466b-856b-3c2f9b7208c8%2F62033cea-298a-47b5-8c70-4952031d188f%2Fk33uc1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For given points
(0,5), (1,6), (2, 13)
To= 0, f [ro] = 5
I1 =
= 1, f[2₁] = 6
12= 1, f[₂] = 13
Newton divided diffrences
f[0, 1]
f[#1, #₂]
12
10
8
Find
=
=
f|z₁-f|zo)
Z1-Z0
fz₂-fz₁]
I2-21
0.5
f[10, 1₁, 1₂]
-
1.0
1
7
1.5
2.0
Calculate
p(x) = f[0, 1, ₂] (x − xo)(x − ₁) +ƒ [10, ₁] (x − xo) + f[ro]
and calculate
p(x₁) =
p(x₂)=
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