Let $x = t ^ { 3 } \text { and } y = 3 t ^ { 2 } . \text { Find the point on the curve closest to } ( 0,3 ) \text {. }$

question 111

Essay

Let $x = t ^ { 3 } \text { and } y = 3 t ^ { 2 } . \text { Find the point on the curve closest to } ( 0,3 ) \text {. }$

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Definitions:

Imaginary Audience

A cognitive bias commonly found in adolescents, where they believe their behavior is the focus of others' attention more than it actually is.

Analytic Thought

A cognitive process that involves breaking down complex information or problems into smaller, more manageable parts to understand and solve them.

Intuitive Thought

A cognitive process that involves knowing or understanding something without the involvement of rational or logical thinking.

Egocentrism

A cognitive trait where an individual has difficulty understanding or assuming any perspective other than their own.