The Centroid (X, Y) of a Planar Region D Is $p ( x , y ) = 1$

question 209

Short Answer

The centroid (x, y) of a planar region D is the center of mass with the density function $p ( x , y ) = 1$ . Find the centroid of $D = \left\{ ( x , y ) \mid x ^ { 2 } + y ^ { 2 } \leq 4 , x \geq 0 , y \geq 0 \right\}$ .

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Definitions:

Implicit Punishments

Penalties for undesirable behavior that are not directly expressed or are implied, affecting behavior modification subtly.

Defense Mechanism

Psychological strategies brought into play by the unconscious mind to manipulate, deny, or distort reality in order to defend against feelings of anxiety and unacceptable impulses.

Psychoanalysis

A therapeutic approach and theory of personality development that focuses on unconscious motives and conflicts, developed by Sigmund Freud.

Repression

A defense mechanism proposed by Freud in which unpleasant thoughts, feelings, or desires are excluded from conscious awareness.