0.70 72 0.74 0.76 0.78 0.84229 0.87707 0.91309 0.95045 0.98926 Solution: As the point lies towards the initial tabular values, we shall use Newton's Forward formula. The forward difference table is: 0.70 0.84229 0.03478 0.00124 0.0001 0.00001 0.72 0.87707 0.03602 0.00134 0.00011 0.74 0.91309 0.03736 0.00145 0.76 0.95045 0.03881 0.78 0.98926 In the above table, we note that is almost constant, so we shall attempt degree polynomial interpolation. Note that gives Thus, using forward interpolating polynomial of degree we get. E XERCISE 11.

6 • Following data is available for a function x 0 0.2 0.4 0.6 0.8 1.0 y 1.0 0.808 0.664 0.616 0.712 1.0 Compute the value of the function at and • The speed of a train, running between two station is measured at different distances from the starting station. If is the distance in from the starting station, then the speed (in ) of the train at the distance is given by the following table: x 0 50 100 150 200 250 v(x) 0 60 80 110 90 0 Find the approximate speed of the train at the mid point between the two stations. • Following table gives the values of the function at the different values of the tabular points x 0 0.04 0.08 0.12 0.16 0.20 S(x) 0 0.00003 0.00026 0.00090 0.00214 0.00419 Obtain a fifth degree interpolating polynomial for Compute and also find an error estimate for it. • Following data gives the temperatures (in ) between 8.00 am to 8.00 pm. On May 10, 2005 in Kanpur: Time 8 am 12 noon 4 pm 8pm Temperature 30 37 43 38 Obtain Newton's backward interpolating polynomial of degree to compute the temperature in Kanpur on that day at 5.00 pm.

In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through the points of. C Program for Lagrange Interpolation with source. In loops using Lagrange interpolation formula. Newton’s forward and backward interpolation polynomial..

In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points. Download Edi 1300 Keygen Music. Calculate the linear interpolation value from the known co-ordinate points. Codejock Xtreme Suite Pro Activex V16 Crackers. Formula; Linear interpolant is the straight line between the two known coordinate points.