$$\text { What is the minimum vertical distance between the parabolas } y = x ^ { 2 } + 4 \text { and } y = x - x ^ { 2 } \text { ? }$$

question 34

Short Answer

$$\text { What is the minimum vertical distance between the parabolas } y = x ^ { 2 } + 4 \text { and } y = x - x ^ { 2 } \text { ? }$$

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Definitions:

Evenly Split

A division or distribution of something into equal or nearly equal parts.

Invisible Hand

The tendency of competition to cause individuals and firms to unintentionally but quite effectively promote the interests of society even when each individual or firm is only attempting to pursue its own interests.

Ultimatum Game

A game in experimental economics where a proposer offers how to split a sum of money with a responder, who can accept or reject the offer.

Dictator Game

A behavioral economics experiment that tests how individuals behave when they hold all the power over allocating resources.