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:

Chronic Entropion

A condition where the eyelid folds inward, causing the eyelashes to rub against the eyeball, leading to irritation, discomfort, and potential damage.

Exophthalmos

A medical condition where the eyes bulge outwards excessively, usually due to an overactive thyroid gland.

Ptosis

Abnormal condition of one or both upper eyelids in which the eyelid droops; caused by weakness of the levator muscle or paralysis of the third cranial nerve.

Lithotomy

A medical position in which the patient lies on their back with legs elevated and spread apart, commonly used for gynecological and other medical procedures.