x – b)(x – c). (c) 0.69315

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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13. What is C3

14. What is C2

15. What is C4

For numbers 11 – 15: Using Newton's Divided Difference, the polynomial that
interpolates In(x + 1) at the points x1 = 1,x2 = 2 ,x3 = 3,x4 = 4 , and x5 = 5 can
be written as
P(x) = co + c,(x – 1) + c2(x – 1)(x – a) + c3(x – 1)(x – a)(x – b)
+c,(x – 1)(x – a)(x – b)(x – c).
11. What is c, ?
(a) 0.40547
(b) – 0.05889
(c) 0.69315
(d) - 0.00123
Transcribed Image Text:For numbers 11 – 15: Using Newton's Divided Difference, the polynomial that interpolates In(x + 1) at the points x1 = 1,x2 = 2 ,x3 = 3,x4 = 4 , and x5 = 5 can be written as P(x) = co + c,(x – 1) + c2(x – 1)(x – a) + c3(x – 1)(x – a)(x – b) +c,(x – 1)(x – a)(x – b)(x – c). 11. What is c, ? (a) 0.40547 (b) – 0.05889 (c) 0.69315 (d) - 0.00123
12. Compute ab -c.
(a) 2
(b) 1
(c) 3
(d) 4
Transcribed Image Text:12. Compute ab -c. (a) 2 (b) 1 (c) 3 (d) 4
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