Exercise Finding Roots

• True

• False

Can we solve bisection method with one initial value?

• Yes

• No

• f(a)f(c)=0

• f(c)=0

• f(a)f(b)=0

• the value of c is repeated

Based on the following table, determine suitable initial value for Newton-Raphson method.

• 0.1353

• -1

• 0

• -0.6321

The convergence in the Newton-Raphson method can be failed if ...

• the first derivative of f(x) is zero

• number of iteration is large

• number of iteration is odd

• number of iteration is even

The following statements are true EXCEPT

• The Secant method may or may not converge, but when it converges, it converges faster than the bisection method.

• Newton Raphson and Secant Method required only one initial value in their evaluation.

• Newton Raphson sometimes become tedious because it involved differentiation skill.

• Bisection method is a bracketing method which use intermediate value theorem.