Advertisements
Advertisements
Question
Choose the correct alternative:
For the given points (x0, y0) and (x1, y1) the Lagrange’s formula is
Options
`y(x) = (x - x_1)/(x_0 - x_1) y_0 + (x - x_0)/(x_1 - x_0) y_1`
`y(x) = (x_1 - x)/(x_0 - x_1) y_0 + (x - x_0)/(x_1 - x_0) y_1`
`y(x) = (x - x_1)/(x_0 - x_1) y_1 + (x - x_0)/(x_1 - x_0) y_0`
`y(x) = (x_1 - x)/(x_0 - x_1) y_1 + (x - x_0)/(x_1 - x_0) y_0`
Advertisements
Solution
`y(x) = (x - x_1)/(x_0 - x_1) y_0 + (x - x_0)/(x_1 - x_0) y_1`
APPEARS IN
RELATED QUESTIONS
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.
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:
If f(x) = x2 + 2x + 2 and the interval of differencing is unity then Δf(x)
Choose the correct alternative:
For the given data find the value of Δ3y0 is
| x | 5 | 6 | 9 | 11 |
| y | 12 | 13 | 15 | 18 |
Find the missing figures in the following table:
| x | 0 | 5 | 10 | 15 | 20 | 25 |
| y | 7 | 11 | - | 18 | - | 32 |
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
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)
