13: If the value to be determined is at the end of the table
then use
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Newton's forward formula
Newton's Backward formula
Lagranges formula
Strilings formula
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Step-by-step explanation:
As stated earlier, interpolation is the process of approximating a given function, whose values are known at $ N+1$ tabular points, by a suitable polynomial, $ P_N(x),$ of degree $ N$ which takes the values $ y_i$ at $ x=x_i$ for $ i=0,1,\ldots,N.$ Note that if the given data has errors, it will also be reflected in the polynomial so obtained.
In the following, we shall use forward and backward differences to obtain polynomial function approximating $ y = f(x),$ when the tabular points $ x_i$ 's are equally spaced. Let
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Anno Domini
Image result for BC stands for before christ
The terms anno Domini (AD) and before Christ (BC) are used to label or number years in the Julian and Gregorian calendars.
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