Calculus 1

posted by .

Use Newton's method to approximate the root of the equation x^3+x+2=0 with initial guess x1=-1 gives:

  • Calculus 1 -

    Using trig get:

    Xn+1 = Xn - Yn/Y'n
    where
    Y = x^3 + x + 2
    Y' = 3x^2 + 1
    for x = -1
    Y = -1-1+2 = 0 well how embarrassing, we guessed it exactly
    Y' = 4 irrelevant

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Use Newton's method to approximate a root of the equation (2 x^3 + 4 x + 4 =0) as follows. Let (x_1 = -1\) be the initial approximation. The second approximation (x_2) is ?
  2. calculus

    Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is
  3. calculus

    Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is for x2 I got -1.454 which is right but I can't …
  4. calculus

    Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is I got x2=-1.454 but can't get x3 :(
  5. calculus

    Use Newton's method to solve the equation sec x = 4 in the interval x in (0, pi/2). In other words, use Newton's Method to compute arcsec(4). (You need to make a good initial guess for the root otherwise Newton's method will probably …
  6. Calculus 1 Newton's Method

    Using Newton's method, approximate the root of the equation x^3+x+2=0 with the initial guess x1=-1 gives: x2=?
  7. calculus

    Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3sinx = x^2
  8. Calculus 1

    Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The root of x^4 − 2x^3 + 5x^2 − 5 = 0 in the interval [1, 2]
  9. Calculus

    Starting with an initial guess of x=2, use Newton’s method to approximate (Third root of 7). Stop the iterations when your approximations converge to four decimal places of accuracy. Compare with the approximation provided by your …
  10. Calculus - Newton's Method

    Use the Newton's Method to approximate the real root of the equation: f(x)=x-2+cosx=0 a) What is the iterative equation of Newton's method of the given equation?

More Similar Questions