Numerical Analysis-Interpolation Formulae (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 1 - 6 of 14

T he one-third rule of the integrand using Simpson’s rule is

The area of the cross section of a river 80 feet wide is

Here n = 8, b = 80, a = 0, h= (b-a) /n = 10

we have given that there are four values of y is given, then find the missing value of y at x = 3 using Lagrange’s interpolation polynomial because the x values is not equal interval.

The table is

Using Lagrange’s formula

Given that a = 3, b = 7, c = 9, d = 10 and f (a) =168, f (b) =120, f (c) =72, f (d) =63

Find x = 6, the values of f (x) =?

we can write the Newton’s divided difference formulas as

First find f (b, c)

Then, from (1) and (2)

Let ∆ ⁱ define the i ^th finite difference which is defined as

∆ =E-1 where E is a shift operator that is

E ⁿ f _x = f _{x + nh}

Then

This is written in the table in this function y = f (x)

For find x = 6, we use Lagrange’s interpolation polynomial because the x values is not equal interval. There are four values of x which gives the… (12 more words) …