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Newton's method for cube roots is based on the fact that if y is an approximation to the cube root of x, then a better approximation is given by the value:
(x/y2+2y)/3
(a) Use this formula to implement a cube-root procedure analogous to the square-root procedure from the lecture notes.
(b) Modify your original implementation to allow the good-enough? procedure to be included as a argument to the cube-root procedure; i.e., (cube-root 3 good-enough?). In this way, roots of arbitrary precision should be possible by defining new forms of good-enough?
P o i n t e r d e c l a r a t i o n f o r me m b e r f un c t i o n : M e t h o d 1 : W h e n C l a ss i s n o t
Force, F = ma
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