Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
For the given points (x0, y0) and (x1, y1) the Lagrange’s formula is
विकल्प
`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`
उत्तर
`y(x) = (x - x_1)/(x_0 - x_1) y_0 + (x - x_0)/(x_1 - x_0) y_1`
APPEARS IN
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 |
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.
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 |
Find f(2.8) from the following table:
x | 0 | 1 | 2 | 3 |
f(x) | 1 | 2 | 11 | 34 |
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)
Find the missing figures in the following table:
x | 0 | 5 | 10 | 15 | 20 | 25 |
y | 7 | 11 | - | 18 | - | 32 |
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)