4. 18.9 Use Newton's interpolating polynomial to determine y at x = 3.5 to the best possible accuracy. Compute the finite divided differ- ences as in Fig. 18.5 and order your points to attain optimal accu- racy and convergence. 1 2.5 5.4375 7.3516 X Y O 2 3 4.5 5 7.5625 8.4453 9.1875 6 12

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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4.
18.9 Use Newton's interpolating polynomial to determine y at x = 3.5
to the best possible accuracy. Compute the finite divided differ-
ences as in Fig. 18.5 and order your points to attain optimal accu-
racy and convergence.
1
2.5
5.4375 7.3516
X
Y
O
2
3
4.5
5
7.5625 8.4453 9.1875
6
12
Transcribed Image Text:4. 18.9 Use Newton's interpolating polynomial to determine y at x = 3.5 to the best possible accuracy. Compute the finite divided differ- ences as in Fig. 18.5 and order your points to attain optimal accu- racy and convergence. 1 2.5 5.4375 7.3516 X Y O 2 3 4.5 5 7.5625 8.4453 9.1875 6 12
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