Question

True (T) or False (F). a) ( ) The degree of precision of an (n 1)-point interpolatory quadrature is at most n 1. b) ( ) The Clenshaw-Curtis quadrature uses interpolatation at equally spaced points. c) ( ) Composite Simpon's rule is always more accurate than the Composite Trape- zoidal rule. 2

Answer 1

Answer:

Step-by-step explanation:

Solution : (a) The degree of precision of an (n+1) point interpolatory quadrature is at most n.

Hence, False (F) .

(b) The Clenshaw - Curtis quadrature uses inter polatation at equally speed points .

Hence, True (T) .

(c) In Composite Simpson's rule of area calculation,we have assumed the boundary surface to be curved i.e. parabolic , while in area calculation by Composite Trapezoidal rule, we have assumed boundary to be straight so it gives approximate area.

So, Composite Simpson's rule is always more accurate than the Composite Trapezoidal rule .

Hence, True (T) .