Newton's Method to find intersection of x^2 and cos(x)

[abby_07]

Use Newton's Method to approximate the x-value of the indicated point(s) of intersection of the following two graphs:

. . .f(x) = x^2
. . .g(x) = cos(x)

Continue until two successive approximations differ by less than 0.001

Can you please help me understand this problem? Thank you.

 

[royhaas]

Solve the equation \(\displaystyle x^2-cos(x)=0\).

 

[mammothrob]

If you need to use Newtons Method:

You need to use this type of formula:

let f(x)-g(x) = h(x)

x- [h(x)/h'(x)]

Make an initial guess of what the x value of the intercept could be plug it in. Take that answer and plug it in again and again until you get and x that is < .001 from the last value you got.

Sometimes the values will jump around, go back and make a better guess.

Rob