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.

4 answers

Look, I took this subject back in 1956. I am not going to do half a million Newton's method approximations for you. I do not need the practice, you do.
Sketch it, draw tangents. Try, then if you have trouble post.
or use one of the various online Newton method calculators to verify your work.
Actually the first one I tried by hand and then after that I tried plugging into the calculator but I think I had a bad guess cuz it hadn't gotten 6 decimal places the same. It kept changing
Just did this for you.
Look back to your earlier post of this