MTH603 Numerical Analysis Assignment 2 Solution Spring 3rd July 2013

Question#1                                                                                            Marks 10

Find an equation of a cubic curve which passes through the points

(1,-9), (2,-41), (4,-189) and (7,9) using Divided Difference Formula.

Question#2                                                                                             Marks 10

Find interpolation polynomial by Lagrange’s Formula, with the help of following table,

x	0	1/6	1/2
f(x)	0	0.5	1

and hence evaluate  f(1/3).

Question#3                                                                                             Marks 10

Find   from the following table,

x	50	55	60	65
	1.6990	1.7404	1.7782	1.8129

Question#4                                                                                            Marks 10

Find  from the following table,

x	0.96	0.98	1.00	1.02	1.04
f(x)	0.7825	0.7739	0.7652	0.7563	0.7473

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