Problem 11
Gauss forward interpolation formulu involves (a) even differences above the central line and odd differences on the central line (b) even differences below the central line and odd differences on the central line (c) odd differences below the central line and even differences on the central line (d) odd differenees abeve the central line and even differences on the sentral line.
Problem 14
The second divided difference of \(f(x)=1 / x\), with arguments, \(a, b, c\), is........
Problem 16
\begin{aligned} &\text { Given }\\\ &0\\\ &\begin{array}{lll} 1 & 3 & 4 \end{array}\\\ &x:\\\ &3\\\ &0 \end{aligned}\text { \mathrm{\\{} U s i n g ~ L a g r a n g e ' s ~ f o r m u l a , ~ a ~ p o l y n o m i a l ~ t h a t ~ c a n ~ b e ~ f i t t e d ~ t o ~ t h e ~ d a t e ~ i s ~ . . . . ~ }
Problem 17
The nth divided difference of a polynomial of degree \(n\) is (a) zero (b) a constant (c) a variable (d) oone of these.
Problem 19
If \(h\) is the interval of differending, \(\Delta^{2} x^{3}=\)
