4.8 Homework - Newton's Method (Homework)

1. [-/1 Points] DETAILS SCALCET9 4.8.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose the tangent line to the curve y = f(x) at the point (1, 3) has the equation y = 7 - 4x. If Newton's method is used to locate a solution of the equation f(x) = 0 and the initial approximation is x, = 1, find the second approximation x,. *2 = Need Help? Read It Watch It 2. [-/1 Points] DETAILS SCALCET9 4.8.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Newton's method with the specified initial approximation x, to find x3, the third approximation to the solution of the given equation. (Round your answer to four decimal places.) x5 = x2 + 5, = 1 * 3 = Need Help? Read It PRACTICE ANOTHER 3. [-/1 Points] DETAILS SCALCET9 4.8.011.MI. MY NOTES ASK YOUR TEACHER Use Newton's method to approximate the given number correct to eight decimal places. 173 Need Help? Read It Watch It Master It4. [-/1 Points] DETAILS SCALCET9 4.8.016. MY NOTES ASK YOUR TEACHER Use Newton's method to approximate the indicated solution of the equation correct to six decimal places. the positive solution of es* = x + 9 X = Need Help? Read It 5. [-/1 Points] DETAILS SCALCET9 4.8.019. MY NOTES ASK YOUR TEACHER Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) 9* = 6 - x2 X =