Question#1
Marks 10
Using Lagrange’s interpolation formula find
from following table.
|
|
5
|
6
|
9
|
11
|
|
|
12
|
13
|
14
|
16
|
Question#2
Marks 10
Using
Newton’s divided difference formula, find a polynomial function satisfying the
following data:
|
|
-4
|
-1
|
0
|
2
|
5
|
|
|
1245
|
33
|
5
|
9
|
1335
|
Question#3 Marks
10
Estimate
from the data
|
|
40
|
45
|
50
|
55
|
60
|
|
|
1.7990
|
1.8404
|
1.9682
|
2.3129
|
2.8485
|
Question#4 Marks
10
Approximate
is given by following
table
|
|
10
|
15
|
20
|
25
|
|
|
1.6094
|
2.4021
|
2.7081
|
2.9955
|