00:01
Hi here in this question we are given a difference table using that we need to calculate the newton dividend difference and then we need to calculate the polynomial the table.
00:11
Now here using this value we can construct the dividend difference table as x, f of x here x would be 0 1 2 4 5 and 6 f of x equals to 1 14.
00:32
15, 15, 5, 6 and 19.
00:37
Now here we will calculate the first dividend difference equals to the difference between f of x2 minus f of x1 divided by x2 minus x1.
00:48
Therefore here difference equals to 13.
00:51
Similarly here 1, here we have minus 5, here 1 and here again 13.
00:58
Now here we will calculate second dividend difference equals to minus 1.
01:03
6 comma minus 2 2 and here 6 again we will calculate the third dividend difference we will continue this method until we get difference between them as 0 therefore here third dividend difference would be difference between minus 6 and 2 would be 2 minus here we have plus 1 and here also plus 2 now here again 4th dividend difference would be here we have difference between minus minus 2 and 1 would be 1 and here also we have 1 and the 5th difference between this 2 number would be 0.
01:44
Therefore, this is our required dividend difference table for the newton dividend approximation method...