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

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. A little perl program for Newton's Method reveals the solution for x^2 - 3sinx = 0:

    1: 2.0000000 = 1.2721077
    2: 1.7576218 = 0.1414378
    3: 1.7228915 = 0.0029877
    4: 1.7221255 = 0.0000015
    5: 1.7221251 = 0.0000000

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. mathematics

    Find a real root of the equation cos(x) = 3x − 1 correct to four decimal places by using method of successive approximation.

  2. Math

    Find the real root of the equation 3x-cosx-1=0 correct to four decimal places using the Newton Raphson Method.

  3. calculus

    3x4 − 8x3 + 5 = 0, [2, 3] (a) Explain how we know that the given equation must have a root in the given interval. Let f(x) = 3x4 − 8x3 + 5. The polynomial f is continuous on [2, 3], f(2) = < 0, and f(3) = > 0, so by the

  4. CALC

    Use Newton's method to approximate a root of the equation x3+x+3=0 as follows. Let x1=–1 be the initial approximation. The second approximation x2 is _____? and the third approximation x3 is _____?

  1. 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

  2. Calc

    Find the linear approximation of the function g(x) = fifth root(1 + x) at a = 0. g(x)≈ 1+(x/5) Correct: Your answer is correct. Use it to approximate the numbers fifth root (0.95) and fifth root (1.1) (Round your answers to

  3. Calculus

    Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!

  4. Calc 1

    Of the infinitely many lines that are tangent to the curve y = −6 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.

  1. Math

    Use Newton's method to approximate a root of the equation 5sin(x)=x as follows. Let x1=2 be the initial approximation. The second approximation x2 is: and the third approximation x3 is:

  2. Math

    Use Regula Falsi Method to find a real root of the equation xe^x - 2=0 correct to two decimal places within the interval [0,1].

  3. calculus

    Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 7)2 that is closest to the origin.

  4. 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 ? and the third approximation (x_3) is ?

View more similar questions or ask a new question.