Short Quiz 3

Which method approximates derivatives using backward finite differences?

• Newton-Raphson

• Secant Method

• False Position Method

• Bisection Method

In the Secant Method, how many initial guesses are required?

• One

• Two

• Three

• Four

Which of the following is an open method?

• Bisection

• Secant Method

• False Position Method

• All of the above

• Secant Method

• Newton-Raphson Method

• False Position Method

• Bisection Method

Which of the following methods always requires bracketing the root?

• False Position

• Secant

• Newton-Raphson

• MOSS

What is the order of convergence of the Newton-Raphson method?

• Linear

• Quadratic

• Cubic

• Exponential

Which method rearranges f(x)=0 into x=g(x)?

• Secant Method

• Newton-Raphson

• MOSS

• False Position

Which error compares approximate and true value?

• True error

• Relative error

• Approximate relative error

• Truncation error

• Machine error

• Round-off error

• Truncation error

• Experimental error

Which of the following is a potential problem in Newton-Raphson?

• Derivative is zero at the root

• Always converges

• Requires three initial guesses

• No need to evaluate derivative