The Solution of the System of Differential Equations in the Two

question 35

Multiple Choice

The solution of the system of differential equations in the two previous problems is

• A) \(x = 10 e ^ { - 0.1 t } , y = 12.5 \left( e ^ { - 0.1 t } - e ^ { - 0.5 t } \right) , z = 10 - 12.5 e ^ { - 0.1 t } + 2.5 e ^ { - 0.5 t }\)
• B) \(x = 10 e ^ { - 0.1 t } , y = 12.5 \left( e ^ { - 0.5 t } - e ^ { - 0.1 t } \right) , z = 10 - 12.5 e ^ { - 0.5 t } + 2.5 e ^ { - 0.1 t }\)
• C) \(x = 10 e ^ { - 0.5 t } , y = 12.5 \left( e ^ { - 0.5 t } - e ^ { - 0.1 t } \right) , z = 10 - 12.5 e ^ { - 0.2 t } + 2.5 e ^ { - 0.3 t }\)
• D) \(x = 10 e ^ { - 0.5 t } , y = 12.5 \left( e ^ { - 0.1 t } - e ^ { - 0.5 t } \right) , z = 10 - 12.5 e ^ { - 0.5 t } + 2.5 e ^ { - 0.1 t }\)
• E) \(x = 10 e ^ { - 0.5 t } , y = 12.5 \left( e ^ { - 0.1 t } - e ^ { - 0.5 t } \right) , z = 10 - 12.5 e ^ { - 0.1 t } + 2.5 e ^ { - 0.5 t }\)

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Definitions:

Learned Helplessness

A psychological condition in which an individual learns to believe they are powerless to change their situation despite having the ability to do so, often arising from repeated failures.

Experimental Group

In experimental research, the group of subjects that receives the experimental treatment or intervention, used to test hypotheses against a control group.

Control Opportunities

Refers to situations or mechanisms through which an individual can influence the outcomes or environment around them.

Concordance Rate

A measure in genetics research that indicates the likelihood of two individuals with shared genetics (such as twins) both developing the same disease or trait.