Newtons Method for Cube Root : The problem: You are required by a computer manufacturer to write a library function for the IEEE oating point system, double precision, to nd the cube root, y 1 3 , of any given positive number y. This library function must be very ecient and it should always work. Use the fact that any oating point number y can be represented as y = a 2 b , where a is a normalized fraction (i.e., 0.5 a

2. Newton's Method for Cube Root : The problem: You are required by a computer manufacturer to write a library function for the IEEE floating point system, double precision, to find the cube root, yt, of any given positive number y. This library function must be very efficient and it should always work. Use the fact that any floating point number y can be represented as y = a x 2", where a is a normalized fraction (i.e., 0.5 Sa