Saturday

August 23, 2014

August 23, 2014

Posted by **Soojung** on Monday, November 10, 2008 at 10:44pm.

and tell me how good you think the approximation is. Round all answers to 3 decimal places.

- Math- Calculus -
**Reiny**, Monday, November 10, 2008 at 11:44pmlet f(x) = x^5+x-6

newton's method says

x_{n+1}= x_{n}- f(x_{n})/f'(x_{n})

f'(x) = 5x^4 + 1

so x2 = x1 - f(x1)/f'(x1)

= 2 - 28/81

= 1.65432

then x3 = 1.65432 - .209237

= 1.44508

x4 = 1.3685

x5 = 1.35942

x6 = 1.359304105

x7 = 1.359304086

x8 = 1.359304086 Ok then !!!

**Related Questions**

calculus - Use Newton's method to approximate a root of the equation 3sin(x)=x ...

calculus - Use Newton's method to approximate a root of the equation 3sin(x)=x ...

Calculus - Use Newton's method to approximate a root of the equation (2 x^3 + 4 ...

calculus - Use Newton's method to approximate a root of the equation 3sin(x)=x ...

Math - Use Newton's method to approximate a root of the equation 5sin(x)=x as ...

calculus, math - Use Newton's method to approximate the value of (543)^(1/5) as ...

calculus - Use Newton's method to solve the equation sec x = 4 in the interval x...

Math/ Calculus - Given an initial guess of x1 = 1, use the Newton-Raphson Method...

Calculus-Newton Method Approximation - Use Newton's method to approximate the ...

CALC - Use Newton's method to approximate a root of the equation x3+x+3=0 as ...