4. Use the Newton's Interpolating Polynomial to determine y at x = 3.5 to the best possible accuracy. Compute the finite divided differences and order your points to attain optimal accuracy and convergence. 1 2.5 3 4.5 5 y 5.4375 7.3516 7.5625 8.4453 9.1875 12

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Chapter2: Second-order Linear Odes
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4. Use the Newton's Interpolating Polynomial to determine y at x = 3.5 to the best possible
accuracy. Compute the finite divided differences and order your points to attain optimal
accuracy and convergence.
X
1
2.5
3
4.5
5
6
2
5.4375
7.3516
7.5625
8.4453
9.1875
12
y
Transcribed Image Text:4. Use the Newton's Interpolating Polynomial to determine y at x = 3.5 to the best possible accuracy. Compute the finite divided differences and order your points to attain optimal accuracy and convergence. X 1 2.5 3 4.5 5 6 2 5.4375 7.3516 7.5625 8.4453 9.1875 12 y
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