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.

y' = 2(x5)
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.
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