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Tuesday 12 June 2012

MTH603 (Spring 2012) aSsignment # 2 idea solution


aSsignment # 2
MTH603 (Spring 2012)
Total marks: 10
Lecture # 23-28
Due date: 20-06-2012
Question#1                                                                                             Marks 10
A function y=f(x) is given by the following table.
x321.0322.8324.2325.0
f(x)2.506512.508932.510812.51188

a)      Construct the divided differences table for the above data.
b)      Find f(323.5) by Newton’s interpolation polynomial.

Question#2                                                                                             Marks 10
Find  from the following table,
x0.40.50.60.70.8
y1.58364941.79744262.04423762.32750542.6510818

Question#3                                                                                             Marks 10
Find  from above table given in Question No.2