4. Let f (x) be a polynomial of unknown degree taking the values 0 1 2 3 f (x) 2|7 | 13 |16 All the fourth divided differences are -1/6. Then the coefficient of x' is (a) 1/3 (b) -2/3 (c) 16 (d) -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4.
Let f (x) be a polynomial of unknown degree
taking the values
0 1
2
3
f (x) 2 7|13 | 16
All the fourth divided differences are -1/6.
Then the coefficient of x' is
(a)
1/3
(b)
-2/3
(c)
16
(d)
-1
Transcribed Image Text:4. Let f (x) be a polynomial of unknown degree taking the values 0 1 2 3 f (x) 2 7|13 | 16 All the fourth divided differences are -1/6. Then the coefficient of x' is (a) 1/3 (b) -2/3 (c) 16 (d) -1
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