Question

Approximate the root for the following equation using Method of False Position correct upto 5 decimal places.
xe^x=cos(x)

Answer 1

\[f(x)=\cos x-xe^x=0\]\(f(0)=1 >0\) and \(f(1)=\cos 1-e<0\) so there is a root on the interval \((0,1)\)

Answer 2

sorry it reloaded suddenly

Answer 3

let \(x_0=0\) , \(x_1=1\) and use the false position rec formula\[x_{2}=\frac{x_0f(x_{1})-x_{1}f(x_0)}{f(x_1)-f(x_0)}\]

Answer 4

\[x_2= 0.31467\]

Answer 5

thanks i can do this now:)

Answer 6

:)