Given the table f(r) 1 0.223891 4 0.39715 Use the second degree Newton's divided difference formula to obtain f ro, 1]+ f 1, 12] + f (To, T1, T2] a. -0.679192 O b. 1 O c. None of the options O d. -1.025861 O e. -0.524773
Given the table f(r) 1 0.223891 4 0.39715 Use the second degree Newton's divided difference formula to obtain f ro, 1]+ f 1, 12] + f (To, T1, T2] a. -0.679192 O b. 1 O c. None of the options O d. -1.025861 O e. -0.524773
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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![Given the table:
\[
\begin{array}{c|c}
x & f(x) \\
\hline
0 & 1 \\
2 & 0.223891 \\
4 & -0.39715 \\
\end{array}
\]
Use the second degree Newton's divided difference formula to obtain \( f[x_0, x_1] + f[x_1, x_2] + f[x_0, x_1, x_2] \).
Options:
- a. \(-0.679192\)
- b. \(1\)
- c. None of the options
- d. \(-1.025861\)
- e. \(-0.524773\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a025add-db4b-4f7d-8d83-fda6c2b9cf69%2Ffed50d4e-df74-4c5c-9e26-0a0e4c6b03fc%2F526xez_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the table:
\[
\begin{array}{c|c}
x & f(x) \\
\hline
0 & 1 \\
2 & 0.223891 \\
4 & -0.39715 \\
\end{array}
\]
Use the second degree Newton's divided difference formula to obtain \( f[x_0, x_1] + f[x_1, x_2] + f[x_0, x_1, x_2] \).
Options:
- a. \(-0.679192\)
- b. \(1\)
- c. None of the options
- d. \(-1.025861\)
- e. \(-0.524773\)
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