Numerical Analysis-Interpolation Formulae (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 7 - 14 of 14

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Question number: 7

» Numerical Analysis » Interpolation Formulae » Newton (Dividend Difference)

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Use Simpson’s rule with five ordinates to compute an approximation to π with the help of the integration of the function (1 + x 2) -1 from 0 to 1.

Explanation

… (34 more words) …

Question number: 8

» Numerical Analysis » Interpolation Formulae » Newton (Dividend Difference)

Appeared in Year: 2012

Essay Question▾

Describe in Detail

An unknown function u x has been tabulated below for some selected values of x. Use Newton’s divided difference formula on these to find an approximate value of u 3:

x

0

2

5

10

u x

3

19

73

223

Explanation

… (46 more words) …

Question number: 9

» Numerical Analysis » Interpolation Formulae » Lagrange

Appeared in Year: 2012

Essay Question▾

Describe in Detail

Solve the equation f (x) = 0 by using a suitable interpolation formula on the following values:

x

3

4

5

6

f (x)

-2.8

-1.2

-0.3

1.8

Explanation

… (12 more words) …

Question number: 10

» Numerical Analysis » Interpolation Formulae » Lagrange

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Fit the exponential curve y = a + bx to the following data

x: 0 2 4

y: 5.01 10 31.62

Explanation

… (52 more words) …

Question number: 11

» Numerical Analysis » Interpolation Formulae » Newton-Gregory

Appeared in Year: 2010

Essay Question▾

Describe in Detail

Evaluate log e 7 by Simpson’s -1/3rd rule.

Explanation

… (40 more words) …

Question number: 12

» Numerical Analysis » Interpolation Formulae » Newton-Gregory

Appeared in Year: 2010

Essay Question▾

Describe in Detail

Estimate U 2 from the following table:

x

1

2

3

4

5

U x

7

-

13

21

37

Explanation

… (30 more words) …

Question number: 13

» Numerical Analysis » Interpolation Formulae » Gauss

Appeared in Year: 2009

Essay Question▾

Describe in Detail

Find the value of

by taking 5 subintervals and using the Trapezoidal rule.

Explanation

… (20 more words) …

Question number: 14

» Numerical Analysis » Interpolation Formulae » Newton (Dividend Difference)

Appeared in Year: 2015

Essay Question▾

Describe in Detail

By making use of difference table and a suitable interpolation formula, find the number of student who obtained less than 45 marks in an examination, from the following table

Marks

30 - 40

40 - 50

50 - 60

60 - 70

70 - 80

Number of students

31

42

51

35

31

Explanation

… (48 more words) …

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