Find the Curvature Of $y = x ^ { 7 }$

question 12

Multiple Choice

Find the curvature of $y = x ^ { 7 }$ .

• A) \(\frac { | x | ^ { 5 } } { \left( 1 + 49 x ^ { 12 } \right) ^ { 1 / 2 } }\)
• B) \(\frac { 42 | x | ^ { 5 } } { \left( 1 + 49 x ^ { 12 } \right) ^ { 3 / 2 } }\)
• C) \(\frac { 42 | x | ^ { 5 } } { \left( 1 - 49 x ^ { 12 } \right) ^ { 3 / 2 } }\)
• D) \(\frac { | x | ^ { 5 } } { \left( 1 + x ^ { 12 } \right) ^ { 3 / 2 } }\)
• E) \(\frac { 42 | x | ^ { 5 } } { \left( 1 + 49 x ^ { 12 } \right) ^ { 1 / 2 } }\)

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Definitions:

Cognitive Dissonance

The psychological discomfort experienced by an individual who holds two or more contradictory beliefs, ideas, or values at the same time.

Emotional Dissonance

The conflict or inconsistency between the emotions one feels and the emotions one expresses in a professional context.

Organizationally Desired Emotions

The specific emotional states that an organization aims for its employees to exhibit, often to maintain a particular corporate image or working environment.

Regulate Relationships

The act of managing interactions and connections between individuals or groups to ensure positive outcomes.