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`
Advertisements
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 |
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.
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.
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 |
A second degree polynomial passes though the point (1, –1) (2, –1) (3, 1) (4, 5). Find the polynomial
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 |
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)
