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

question 93

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:

Auxin

A class of plant hormones involved in various growth and behavioral processes in plant life cycles.

Stem Elongation

The process by which a plant's stem grows in length, often influenced by environmental conditions and hormonal signals.

Gravity Reception

The perception and response mechanism to gravity in organisms, helping them to maintain balance and orientation.

Root Cap

A protective structure located at the tip of a plant root, consisting of parenchyma cells that protect the growing tip in soil.