Question

Describe Muller's method and find The root of the equation f(x) =sinx-x /2 =0 near x =2

Answer 1

Answer:

Step-by-step explanation:

Our aim is to find the best approximation to the given function with muller's method.

Since we are considering Muller's method, we need to know that this method is used in order to solve equations of the form f(x) = 0.

We have as Muller's method the following iterate:

$x_{{k}}=x_{{k-1}}-{\frac  {2f(x_{{k-1}})}{w\pm {\sqrt  {w^{2}-4f(x_{{k-1}})f[x_{{k-1}},x_{{k-2}},x_{{k-3}}]}}}}$

In order to get our answer we just need to substitute values and voi lá.

Hence, we let this as a work to be done by the student since the answer is just reached by calculus.

I hope this helped. Keep the good studies.