Question

Apply Mullar's method to find the root of the equation cosx= xe which is lies between 0 and 1 ​

Answer 1

Answer:The root is 0.518 correct to four decimal places.

Step-by-step explanation:

Given:

We have  

Let  

Observe,

f(0) = 1

f(1) =cos(1) - e = -2.17798

f(1) = -2.17798

So, root lies between 0 and 1

Taking  

+veroot lies between 0.31467 and 1

f(x3) = f(0.44673) = 0.20356 [/tex]

+veroot lies between 0.44673 and 1

Repeating this process,

, etc

Hence the root is 0.518 correct to four decimal places.