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Use Newton's Method with to Find an Approximate Root

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Use Newton's Method with Use Newton's Method with   to find an approximate root for   and use it to approximate   to within an error of at most   . to find an approximate root for Use Newton's Method with   to find an approximate root for   and use it to approximate   to within an error of at most   . and use it to approximate Use Newton's Method with   to find an approximate root for   and use it to approximate   to within an error of at most   . to within an error of at most Use Newton's Method with   to find an approximate root for   and use it to approximate   to within an error of at most   . .


Definitions:

Separation Anxiety

A disorder characterized by excessive fear or anxiety about separation from home or an attachment figure.

Assimilation

A cognitive process in which new information is integrated into existing schemas or frameworks in the mind.

Jean Piaget

A Swiss developmental psychologist best known for his theory of cognitive development that describes how children develop intellectual abilities from infancy to adolescence.

Sensorimotor Stage

The first of the four stages of cognitive development in Piaget's theory, occurring from birth to about 2 years of age, where infants learn about the world through their movements and sensory experiences.

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