Let P(x) be the Lagrange interpolating polynomial that fits the data (1,2): (4, 3) and (7, 3). Then P(3) is: 25/9 O 3/2 25/7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Numerical
81 4
B/s . 7 O
M
0.00014
0.384
0.00003
0.00474
Let P(x) be the Lagrange interpolating polynomial that fits the data (1,2); (4,3) and (7,3).
Then P(3) is:
25/9
3/2
25/7
29/8
A natural cubic spline S for a function f is defined by
(2+(x – 1) +(x – 1)
S(x) = .
a+를(x-2) +(x-2)2 -1(x-2)3
25xS 3
An approximation of f (2.5) is:
8.84375
Transcribed Image Text:81 4 B/s . 7 O M 0.00014 0.384 0.00003 0.00474 Let P(x) be the Lagrange interpolating polynomial that fits the data (1,2); (4,3) and (7,3). Then P(3) is: 25/9 3/2 25/7 29/8 A natural cubic spline S for a function f is defined by (2+(x – 1) +(x – 1) S(x) = . a+를(x-2) +(x-2)2 -1(x-2)3 25xS 3 An approximation of f (2.5) is: 8.84375
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