MA8459-NUMERICAL METHODS UNIT - 3 QUIZ

The error in the trapezoidal rule is of the order __________.

• h
• h^2
• h^3
• h^4

The error in the Simpson's rule is of the order __________ .

• h
• h^2
• h^3
• h^ 4

Romberg's method is also known as__________ .

• Trapezoidal rule
• Simpson's (1/3)rd Rule
• Simpson's (3/8)th Rule
• Rombergs Integration

Simpson's 1/3rd rule of integration is exact for all polynomials of degree not exceeding __________.

• 1
• 2
• 3
• 4

Simpson's 3/8th rule is applicable only when __________.

• n is a multiple of 3
• n is a multiple of 6
• n is a multiple of 8
• n is a multiple of 24

The two segment trapezoidal rule of integration is exact for integrating at most _________ order polynomials.

• first
• second
• third
• fourth

To find the derivative for the start value(lies between) of the table ______ formula is used.

• Newton Forward Interpolation Formula
• Newton Backward Interpolation Formula
• Newton Forward Difference Formula
• Newton Backward Difference Formula

To find the derivative for the end value(lies between) of the table ________ formula is used.

• Newton Forward Interpolation Formula
• Newton Backward Interpolation Formula
• Newton Forward Difference Formula
• Newton Backward Difference Formula

To find the derivative for the end value(lies on) of the table ________ formula is used.

• Newton Forward Interpolation Formula
• Newton Backward Interpolation Formula
• Newton Forward Difference Formula
• Newton Backward Difference Formula

To find the derivative for the start value(lies on) of the table _______ formula is used.

• Newton Forward Interpolation Formula
• Interpolation Formula Newton Backward Interpolation Formula
• Newton Forward Difference Formula
• Newton Backward Difference Formula