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

question 83

Short Answer

Find an equation of the tangent to the curve at the point by first eliminating the parameter.
x=et,y=(t9)2;(1,81)x = e ^ { t } , \quad y = ( t - 9 ) ^ { 2 } ; \quad ( 1,81 )


Definitions:

Conditioned Stimulus

Refers to a previously neutral stimulus that, after becoming associated with an unconditioned stimulus, eventually triggers a conditioned response.

Unconditioned Stimulus

In classical conditioning, a stimulus that naturally and automatically triggers a response without prior conditioning.

Backward Procedure

A method or process that starts with the conclusion or outcome and works backward to determine the necessary steps or causes.

Contingency

A future event or circumstance that is possible but cannot be predicted with certainty.

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