Find the Slope of the Curve at the Given Point $$y = x ^ { 3 } - 2 x ^ { 2 } + 4 , P ( 3,13 )$$

question 174

Multiple Choice

Find the slope of the curve at the given point P and an equation of the tangent line at P.
- $$y = x ^ { 3 } - 2 x ^ { 2 } + 4 , P ( 3,13 )$$

• A) slope is \(1 ; y = x - 32\)
• B) slope is \(15 ; y = 15 x + 13\)
• C) slope is \(15 ; y = 15 x - 32\)
• D) slope is \(0 ; \mathrm { y } = - 32\)

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Definitions:

Attribution Theory

A psychological theory that explains how individuals infer the causes of their own and others' behaviors and events.

Attribution Error

A cognitive bias where individuals incorrectly identify or explain the causes of behavior, often overestimating personal factors and underestimating situational factors in others.

Organizational Ritualism

The concept that focuses on the adherence to rules and rituals within organizations as an end in itself, rather than as a means to an end, potentially leading to inefficiency.

Formal Organization

A large secondary group organized to accomplish a complex task or set of tasks.