Find the Centroid of the Region Bounded by the Graphs $y=|x| \sqrt{4-x^{2}}, \quad y=0, \quad x=-2, \quad x=2$

question 48

Multiple Choice

Find the centroid of the region bounded by the graphs of the given equations. $y=|x| \sqrt{4-x^{2}}, \quad y=0, \quad x=-2, \quad x=2$

• A) \(\left(0, \frac{4}{5}\right)\)
• B) \(\left(\frac{5}{4}, 0\right)\)
• C) \(\left(\frac{4}{5}, 0\right)\)
• D) \(\left(0, \frac{5}{4}\right)\)

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Definitions:

Negative Punishment

The removal of a desirable stimulus following unwanted behavior in order to decrease the likelihood of that behavior happening again.

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A minor car accident primarily resulting in cosmetic damage to the vehicle, without significant injuries to the involved parties.

Positive Punishment

The addition of an undesirable stimulus to decrease a behavior, such as adding chores for breaking rules.

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The act of sending and receiving short written messages via mobile phone.