EXERCISE ABOUT INTREPOLATION INAPPILED MATHEMATICS, Assignments of Mathematics

The questions involve application of different methods used in interpolation ie; graphical method, Lagrange’s formula, Newton’s forward interpolation formula and so on i hope you all enjoy

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2024/2025

Uploaded on 08/14/2025

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Exercise 5.2
1. Using graphic method, find the value ofywhenx= 48 from the following data:
2. The following data relates to indirect labour expenses and the level of output
Estimate the expenses at a level of output of 350 units, by using graphic method.
3. Using Newton’s forward interpolation formula find the cubic polynomial.
4. The population of a city in a census taken once in 10 years is given below.
Estimate the population in the year 1955.
5. In an examination the number of candidates who secured marks between certain
intervals were as follows:
Estimate the number of candidates whose marks are less than 70.
6. Find the value offxwhenx32 from the following table
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Exercise 5.

  1. Using graphic method, find the value of y when x = 48 from the following data:
  2. The following data relates to indirect labour expenses and the level of output Estimate the expenses at a level of output of 350 units, by using graphic method.
  3. Using Newton’s forward interpolation formula find the cubic polynomial.
  4. The population of a city in a census taken once in 10 years is given below. Estimate the population in the year 1955.
  5. In an examination the number of candidates who secured marks between certain intervals were as follows: Estimate the number of candidates whose marks are less than 70.
  6. Find the value of fx  when x  32 from the following table
  1. The following data gives the melting point of an alloy of lead and zinc where ‘ t ’ is the temperature in degree c and P is the percentage of lead in the alloy Find the melting point of the alloy containing 84 percent lead.
  2. Find f (2.8) from the following table.
  3. Using interpolation estimate the output of a factory in 1986 from the following data
  4. Use Lagrange’s formula and estimate from the following data the number of workers getting income not exceeding Rs. 26 per month.
  5. Using interpolation estimate the business done in 1985 from the following data
  6. Using interpolation, find the value of f ( x ) when x = 15