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प्रश्न
Choose the correct alternative:
Lagrange’s interpolation formula can be used for
पर्याय
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 population of a city in a censes taken once in 10 years is given below. Estimate the population in the year 1955.
| Year | 1951 | 1961 | 1971 | 1981 |
| Population in lakhs |
35 | 42 | 58 | 84 |
The following data gives the melting point of a alloy of lead and zinc where ‘t’ is the temperature in degree c and P is the percentage of lead in the alloy.
| P | 40 | 50 | 60 | 70 | 80 | 90 |
| T | 180 | 204 | 226 | 250 | 276 | 304 |
Find the melting point of the alloy containing 84 percent lead.
Using interpolation, find the value of f(x) when x = 15
| x | 3 | 7 | 11 | 19 |
| f(x) | 42 | 43 | 47 | 60 |
Choose the correct alternative:
For the given points (x0, y0) and (x1, y1) the Lagrange’s formula is
Choose the correct alternative:
If f(x) = x2 + 2x + 2 and the interval of differencing is unity then Δf(x)
Find the missing figures in the following table:
| x | 0 | 5 | 10 | 15 | 20 | 25 |
| y | 7 | 11 | - | 18 | - | 32 |
Find f(0.5) if f(– 1) = 202, f(0) = 175, f(1) = 82 and f(2) = 55
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 |
If u0 = 560, u1 = 556, u2 = 520, u4 = 385, show that u3 = 465
Using Lagrange’s interpolation formula find a polynominal which passes through the points (0, –12), (1, 0), (3, 6) and (4, 12)
