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Que. No. 30The backward differences of y, a function of equally spaced values of x are denoted by the operatorO A) sigmaB) alphaC) dellD) Delta​

Answer»

SOLUTION

TO CHOOSE THE CORRECT OPTION

The backward differences of y, a function of EQUALLY spaced values of x are DENOTED by the operator

A) sigma

B) alpha

C) dell

D) DELTA

EVALUATION

The Newton's backward formula for an interpolating POINT x being near the end of the table. Newton's backward formula is given by

\displaystyle \sf{f(x) = y_n + u. \Delta y_{n-1} +  \frac{u(u + 1)}{2}{\Delta}^{2}  y_{n-2} + ....  }

Hence from above we can CONCLUDE that the backward differences of y, a function of equally spaced values of x are denoted by the operator Delta

FINAL ANSWER

Hence the correct option is D) Delta

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