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If the Parametric Curve x=f(t),y=g(t)x = f ( t ) , \quad y = g ( t )

question 48

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If the parametric curve x=f(t),y=g(t)x = f ( t ) , \quad y = g ( t ) satisfies g(4)=0g ^ { \prime } ( 4 ) = 0 , then it has a horizontal tangent when t=4t = 4 ?


Definitions:

Externally Oriented

Describes individuals or behaviors that are heavily influenced by external factors and the external environment rather than internal thoughts and feelings.

Internally Oriented

A focus or emphasis on internal thoughts, feelings, and motivations rather than external circumstances or stimuli.

Self-Efficacy

Confidence in one's ability to control one's motivation, behavior, and social environment, crucial for achieving goals.

Autonomy

The capacity to make an informed, uncoerced decision independently, often discussed in the context of personal development and ethics.

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