Xị f(X) Af(X}) A²f(X) A³f(X) A*F{X) 0.7787 0.0930 0.05 0.8717 0.0177 0.0064 0.1107 0.0036 0.10 0.9824 0.0241 0.1348 0.0100 0.15 1.1172 0.0341 0.0057 0.1689 0.0157 0.20 1.2861 0.0498 0.0121 0.2187 0.0278 0.25 1.5048 0.0930 0.2963 0.30 1.8011

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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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.

X;
f(X)
Af(X)
A²f(X)
A³f(X)
A*f(X)
0.7787
0.0930
0.05
0.8717
0.0177
0.0064
0.1107
0.0036
0.10
0.9824
0.0241
0.1348
0.0100
0.15
1.1172
0.0341
0.0057
0.1689
0.0157
0.20
1.2861
0.0498
0.0121
0.2187
0.0278
0.25
1.5048
0.0930
0.2963
0.30
1.8011
Transcribed Image Text:X; f(X) Af(X) A²f(X) A³f(X) A*f(X) 0.7787 0.0930 0.05 0.8717 0.0177 0.0064 0.1107 0.0036 0.10 0.9824 0.0241 0.1348 0.0100 0.15 1.1172 0.0341 0.0057 0.1689 0.0157 0.20 1.2861 0.0498 0.0121 0.2187 0.0278 0.25 1.5048 0.0930 0.2963 0.30 1.8011
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