integration and systems of equations review

Numerical integration always requires a function.

• True

• False

Which method can find the integral of data with unequal width segments?

• hybrid Simpson's

• trapezoid

• Gauss-Legendre

• Simpson's 1/3

Newton-Cotes integration formulas are all based on replacing the function with a parabola

• True

• False

A single application of Simpson's 3/8 rule requires the function to evaluated at ____ points

• 2

• 3

• 4

Which of the n values below are valid when using Simpson's 1/3

• n=2

• n=4

• n=3

• n=6

How many different solutions will you have when solving a hybrid Simpson's problem with n = 7?

• 2

• 3

• 4

• 1

Double integration involves calculating the AREA under a surface.

• True

• False

Romberg's method IS a Newton-Cotes method

• True

• False

Romberg's method can be used to combine two O(h^4) estimates to obtain a single O(h^8) estimate

• True

• False

Gauss quadrature techniques join the function values at 2 points other than the endpoints.

• True

• False