If Newton's Method Is Used to Find the Cube Root $x _ { 1 }$

question 273

Essay

If Newton's method is used to find the cube root of a number a with first approximation $x _ { 1 }$ , find an expression for $x _ { 2 }$ .

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Definitions:

Enteric Neurons

Neurons that are part of the enteric nervous system, which governs the function of the gastrointestinal system.

Adrenal Medulla

The inner section of the adrenal gland that secretes adrenaline and noradrenaline, playing a role in the body's fight-or-flight response.

Decussation

The crossing over of nerve fibers or pathways in the brain or spinal cord, allowing for the transmission of signals from one side of the body to the opposite side.

Cerebellum

A part of the brain at the back of the skull in vertebrates, responsible for coordinating voluntary movements and maintaining posture and balance.