Use the Newton Method to Approximate the Indicated Zero of the Function

question 1

Short Answer

Use the Newton method to approximate the indicated zero of the function. Continue with the iteration until two successive approximations differ by less than 0.0001. Round your answer to five decimal places, if necessary.
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The zero of between and , .

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Definitions:

Personality

Patterns of thinking, emotions, and behavior that tend to be enduring.

Temperament

The innate aspect of an individual's personality, including mood, disposition, and adaptability.

Cognition

The mental action or process of acquiring knowledge and understanding through thought, experience, and the senses.

Continuum-Based Approach

A method that acknowledges variables or phenomena as occurring on a continuous scale, rather than being divided into distinct categories, enabling more nuanced analysis and understanding.