The following difference table is for f(x)=1/2 tan(x+1). Use to find f(0.07) from a fourth degree polynomial. X₁ 0 0.05 0.10 0.15 0.20 0.25 0.30 f(x₁) 0.7787 0.8717 0.9824 1.1172 1.2861 1.5048 1.8011 Af(x₁) 0.0930 0.1107 0.1348 0.1689 0.2187 0.2963 A²f(X₁) 0.0177 0.0241 0.0341 0.0498 0.0930 Δf(X) 0.0064 0.0100 0.0157 0.0278 A4f(x₁) 0.0036 0.0057 0.0121
The following difference table is for f(x)=1/2 tan(x+1). Use to find f(0.07) from a fourth degree polynomial. X₁ 0 0.05 0.10 0.15 0.20 0.25 0.30 f(x₁) 0.7787 0.8717 0.9824 1.1172 1.2861 1.5048 1.8011 Af(x₁) 0.0930 0.1107 0.1348 0.1689 0.2187 0.2963 A²f(X₁) 0.0177 0.0241 0.0341 0.0498 0.0930 Δf(X) 0.0064 0.0100 0.0157 0.0278 A4f(x₁) 0.0036 0.0057 0.0121
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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![The following difference table is for f(x)=1/2 tan(x+1).
Use to find f(0.07) from a fourth degree polynomial.
X₁
0
0.05
0.10
0.15
0.20
0.25
0.30
f(x₁)
0.7787
0.8717
0.9824
1.1172
1.2861
1.5048
1.8011
Δf(X;)
0.0930
0.1107
0.1348
0.1689
0.2187
0.2963
A²f(x₁)
0.0177
0.0241
0.0341
0.0498
0.0930
A³f(x₁)
0.0064
0.0100
0.0157
0.0278
Aff(x₁)
0.0036
0.0057
0.0121](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63f546e3-0df4-4a59-a75a-941594e78b83%2Feed2d9d1-c326-41b8-a0dd-131ae75e12ff%2Fjzdhty_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following difference table is for f(x)=1/2 tan(x+1).
Use to find f(0.07) from a fourth degree polynomial.
X₁
0
0.05
0.10
0.15
0.20
0.25
0.30
f(x₁)
0.7787
0.8717
0.9824
1.1172
1.2861
1.5048
1.8011
Δf(X;)
0.0930
0.1107
0.1348
0.1689
0.2187
0.2963
A²f(x₁)
0.0177
0.0241
0.0341
0.0498
0.0930
A³f(x₁)
0.0064
0.0100
0.0157
0.0278
Aff(x₁)
0.0036
0.0057
0.0121
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