Approximate by Applying Newton's Method to the Equation X³

question 559

Essay

Approximate by applying Newton's Method to the equation x³ - 73 = 0. Use 4 for your initial value and calculate five iterations.

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Definitions:

Bluish-Green

A color that is a blend of blue and green, often associated with certain minerals, plants, or shallow waters.

Methane

A colorless, odorless gas that is the simplest alkane and a potent greenhouse gas, often produced by anaerobic digestion of organic material.

Visible Surface

The part of any object or phenomenon that is perceptible by the eye under normal conditions.

Iron-Oxide Mineral

A mineral composed primarily of iron and oxygen, often found in the form of hematite or magnetite, significant in various industrial applications.