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 f(X) Af(X) A²f(X) A°f(X) Aªf(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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 6YT
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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.
Xi
f(X)
Af(X)
A²f(X)
A°f(X)
Aªf(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:The following difference table is for f(x)=1/2 tan(x+1). Use to find f(0.07) from a fourth degree polynomial. Xi f(X) Af(X) A²f(X) A°f(X) Aªf(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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