Find Missing terms in interpolation table
Solution:
The value of table for `x` and `y`
Here we are given 6 values of y. We assume that y is polynomial of degree 5.
Hence `Delta^6 y_0=0`
`(E-1)^6 y_0=0`
`(E^6-6E^5+15E^4-20E^3+15E^2-6E+1) y_0=0`
`y_6-6y_5+15y_4-20y_3+15y_2-6y_1+y_0=0`
`:.128-6(64)+15(32)-20(a)+15(8)-6(4)+2=0`
`:.-20a+322=0`
`:.-20a=-322`
`:.a=(-322)/(-20)`
`:.a=16.1`
This material is intended as a summary. Use your textbook for detail explanation.
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