Numerical Methods Quiz

Match the following:

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Interpolation formulae are based on the fundamental assumption that the data can be expressed as

• A linear function

• A quadratic function

• A polynomial function

• None of the above

Which of the following symbol is called forward difference operator

• ∆

• ∇

• δ

• E

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

• first

• second

• third

• fourth

Which numerical method is used to find the approximate value of a definite integral?

• Newton's Method

• Simpson's Rule

• Ternary Search

• Binary Search

The highest order of polynomial integrand for which Simpson's 1/3 rule of integration is exact is

• first

• second

• third

• fourth

The order of convergence of Secant method is

• 1.235

• 3.141

• 1.618

• 2.792

An iteration method the condition for the convergence of the sequence to the root is

• f'(x)=c

• |f'(x)|=1

• |f'(x)|<1

• |f'(x)|>1

If for a real continuous function f(x), f(a)f(b)< 0 , then in the range of [a,b] for f(x)= 0 , there is/are

• one root

• an undeterminable number of roots

• no root

• at least one root

Mean of 3 items is 40. Two items are 30 and 50. What is the other

• 30

• 50

• 40

• None