Question

TRUE OR FALSE
numeric analysis subject

6) Divided differences are invariant under the permutation of the indexes of the data set. (c) A spline function is a smooth interpolation d) For -1 2x1 the expression (narccos x) is a polynomial of degree n. e) Simpson's rule uses a quadratic interpolation of a function on a closed interval

Answer 1

b) TRUE: Divided difference are invariant under the permutation of the index of the data set.

c) TRUE: A spline function is a smooth interpolation.

d) FALSE: For  $-1\leq x \leq 1$ the expression  $(n \arccos x)$ is a polynomial of digree n.

e)  TRUE: Simpsom's rule uses a quadratic interpolation of a function on a closed interval.