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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 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
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
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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