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At How Many Different Values of X Does the Curve 33

question 179

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At how many different values of x does the curve y = x 33 - 2x have a tangent line parallel to the line y=xy = x ?


Definitions:

Nuclear Unit

A family group consisting of two parents and their children, considered a basic social unit.

Negligence Per Se

A legal doctrine that declares an act to be inherently negligent because it violates a statute or regulation, thereby causing harm to a person that the statute was intended to protect.

Literal Meaning

The most direct or explicit meaning of a word or text, without interpretation.

Reasonable Person

A hypothetical individual in the law whose behavior serves as a standard for determining the appropriateness of certain actions under particular circumstances.

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