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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
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.
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 |
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 |
Choose the correct alternative:
For the given points (x0, y0) and (x1, y1) the Lagrange’s formula is
Choose the correct alternative:
For the given data find the value of Δ3y0 is
| x | 5 | 6 | 9 | 11 |
| y | 12 | 13 | 15 | 18 |
A second degree polynomial passes though the point (1, –1) (2, –1) (3, 1) (4, 5). Find the polynomial
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 |
Using Lagrange’s interpolation formula find a polynominal which passes through the points (0, –12), (1, 0), (3, 6) and (4, 12)
