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प्रश्न
Choose the correct alternative:
Lagrange’s interpolation formula can be used for
विकल्प
Equal intervals only
Unequal intervals only
Both equal and unequal intervals
None of these
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उत्तर
Both equal and unequal intervals
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संबंधित प्रश्न
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 |
Find the value of f(x) when x = 32 from the following table:
| x | 30 | 5 | 40 | 45 | 50 |
| f(x) | 15.9 | 14.9 | 14.1 | 13.3 | 12.5 |
Using interpolation estimate the output of a factory in 1986 from the following data.
| Year | 1974 | 1978 | 1982 | 1990 |
| Output in 1000 tones |
25 | 60 | 80 | 170 |
Using interpolation estimate the business done in 1985 from the following data
| Year | 1982 | 1983 | 1984 | 1986 |
| Business done (in lakhs) |
150 | 235 | 365 | 525 |
From the following data find y at x = 43 and x = 84.
| x | 40 | 50 | 60 | 70 | 80 | 90 |
| y | 184 | 204 | 226 | 250 | 276 | 304 |
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
If u0 = 560, u1 = 556, u2 = 520, u4 = 385, show that u3 = 465
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)
