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Passing Through the Origin (0, 0), There Are Two Lines y=x2+1y = x ^ { 2 } + 1

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Passing through the origin (0, 0) , there are two lines tangent to the curve y=x2+1y = x ^ { 2 } + 1 , one with negative slope, the other with positive slope. Find the value of the positive slope.


Definitions:

Homeostasis

The tendency of a biological system to maintain stable internal conditions despite external changes.

Drive-reduction Approach

A theory in psychology that posits motivation arises from the need to reduce drives from physiological states of tension, such as hunger or thirst.

Motivation Approach

The study or practice of understanding the processes that activate, guide, and maintain goal-oriented behaviors.

Survival Value

The degree to which something (behavior, trait, or mechanism) enhances the chances of survival and reproduction in a given environment.

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