Statistics and Numerical Methods: Unit IV: Interpolation, numerical differentiation and numerical integration
Exercise 4.3 - [Newton forward and backward difference W 1- eros MA U.A][010S (MU.A] formula]
Solved Example Problems
Statistics and Numerical Methods : Unit - IV : Interpolation, numerical differentiation and numerical integration : Exercise 4.3 - [Newton forward and backward difference W 1- eros MA U.A][010S (MU.A] formula]
EXERCISE 4.3 - [Newton forward and backward difference W 1- eros
MA U.A][010S (MU.A] formula]
1.
Find the values of y at x = 21 and x = 28 from the following data:
[Ans. y (21) = 0.3583, y (28) = 0.4695]
2.
Find the value of f (x) at x = 9 given the table :
[Ans.
79.2]
3.
Find y (1.02) given :
[Ans. 0.34614]
4. Estimate sin 38° from the data given below:
[Ans. 0.61566]
5.
Using Newton's backward formula, find the polynomial of degree 3 passing
through (3, 0), (4, 24), (5, 60) and (6, 120).
[Ans.
y = 2x3 - 18x2 + 76x - 120]
6.
Find y (2.5) given:
[Ans. 3.4]
7.
Find y (0.47) from the data given below :
[Ans. 1.7299]
8.
Find y (42) from the data given below :
[Ans.
218.66304]
9.
Find the value of y at x = 1.05 from the table given below:
[Ans. 0.8678]
10.
Estimate e -1.9 from the given data:
[Ans. 0.1496]
Statistics and Numerical Methods: Unit IV: Interpolation, numerical differentiation and numerical integration : Tag: : Solved Example Problems - Exercise 4.3 - [Newton forward and backward difference W 1- eros MA U.A][010S (MU.A] formula]
Statistics and Numerical Methods: Unit IV: Interpolation, numerical differentiation and numerical integration
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Statistics and Numerical Methods
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