Calc 1

posted by TayB

Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y =(x − 5)^2 that is closest to the origin.

  1. Steve

    y' = 2(x-5)

    Let x0=1
    x1 = 1 - y/y' = 1 - 16/-8 = 3
    x2 = 3 - 4/-4 = 4
    x3 = 4 - 1/-2 = 6
    x4 = 6 - 1/2 = 5.5
    and so on for six decimal places.

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Numerical Analysis

    Using the bisection method, Newton’s method, and the secant method, find the largest positive root correct to three decimal places of x3 − 5x + 3 = 0. (All roots are in [−3,+3].)
  2. Trig calc

    Find the coordinates of the point at -45 degrees on a circle of radius 3.6 centered at the origin. Round your answers to three decimal places.
  3. Calculus

    Of the infinitely many lines that are tangent to the curve y = −7 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.
  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.
  5. Calc 1

    Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y =(x − 5)^2 that is closest to the origin.
  6. 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.
  7. Calculus 1

    Of the infinitely many lines that are tangent to the curve y = −4 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.
  8. Calculus 1

    Of the infinitely many lines that are tangent to the curve y = −4 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.
  9. Calculus 1

    Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is closest to the origin.
  10. Calculus 1

    Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is closest to the origin.

More Similar Questions