Find an Equation of the Tangent to the Curve at the Point

question 31

Short Answer

Find an equation of the tangent to the curve at the point by first eliminating the parameter. $x = e ^ { t }$ , $y = ( t - 7 ) ^ { 2 }$ ; $( 1,64 )$

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Definitions:

Concrete Operational

A stage in Piaget's theory of cognitive development, occurring from around 7 to 12 years, where children gain the ability to think logically about concrete events.

Abstractions

The process of considering something independently from concrete realities, specific objects, or actual instances.

Preoperational

A stage in Piaget's theory of cognitive development, from about 2 to 7 years of age, where children can use symbols and language but do not yet understand concrete logic.

Identity Vs. Role Confusion

This term refers to a stage in Erik Erikson's theory of psychosocial development where adolescents explore their independence and develop a sense of self.