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Choose the correct alternative: For the given data find the value of Δ3y0 is x 5 6 9 11 y 12 13 15 18 - Business Mathematics and Statistics

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प्रश्न

Choose the correct alternative:

For the given data find the value of Δ3y0 is

x 5 6 9 11
y 12 13 15 18

पर्याय

  • 1

  • 0

  • 2

  • – 1

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उत्तर

0

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Interpolation
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Numerical Methods - Exercise 5.3 [पृष्ठ १२१]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 5 Numerical Methods
Exercise 5.3 | Q 14 | पृष्ठ १२१

संबंधित प्रश्‍न

Using graphic method, find the value of y when x = 48 from the following data:

x 40 50 60 70
y 6.2 7.2 9.1 12

The following data relates to indirect labour expenses and the level of output

Months Jan Feb Mar
Units of output 200 300 400
Indirect labour
expenses (Rs)
2500 2800 3100
Months Apr May June
Units of output 640 540 580
Indirect labour
expenses (Rs)
3820 3220 3640

Estimate the expenses at a level of output of 350 units, by using graphic method.


Using Newton’s forward interpolation formula find the cubic polynomial.

x 0 1 2 3
f(x) 1 2 1 10

In an examination the number of candidates who secured marks between certain intervals was as follows:

Marks 0 - 19 20 - 39 40 - 59 60 - 79 80 - 99
No. of
candidates
41 62 65 50 17

Estimate the number of candidates whose marks are less than 70.


Use Lagrange’s formula and estimate from the following data the number of workers getting income not exceeding Rs. 26 per month.

Income not
exceeding (₹)
15 25 30 35
No. of workers 36 40 45 48

Choose the correct alternative:

For the given points (x0, y0) and (x1, y1) the Lagrange’s formula is


Choose the correct alternative:

Lagrange’s interpolation formula can be used for


The area A of circle of diameter ‘d’ is given for the following values

D 80 85 90 95 100
A 5026 5674 6362 7088 7854

Find the approximate values for the areas of circles of diameter 82 and 91 respectively


From the following table obtain a polynomial of degree y in x.

x 1 2 3 4 5
y 1 – 1 1 – 1 1

Using Lagrange’s interpolation formula find a polynominal which passes through the points (0, –12), (1, 0), (3, 6) and (4, 12)


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