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Find the Point(s) on the Curve Where the Tangent Is x=t33t+2,y=t33t2+2x = t ^ { 3 } - 3 t + 2 , y = t ^ { 3 } - 3 t ^ { 2 } + 2

question 97

Multiple Choice

Find the point(s) on the curve where the tangent is horizontal. Select the correct answer.
x=t33t+2,y=t33t2+2x = t ^ { 3 } - 3 t + 2 , y = t ^ { 3 } - 3 t ^ { 2 } + 2

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Definitions:

Practical Reason

The application of our rationality to practical problems—particularly moral problems—the solution to which consists in action (as opposed to a statement or a theory).

Postulate

A fundamental principle or assumption that is accepted without proof, often serving as a basis for developing further theories or arguments.

Aristotle

An ancient Greek philosopher and polymath whose extensive works on various subjects laid foundational principles in Western philosophy and science.

Free Action

An action performed out of one's own volition, free from external constraints or coercion.

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