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 Find the velocity, acceleration, and speed of an object with position vector r(t)=et(cos2t,sin2t,8}\text { Find the velocity, acceleration, and speed of an object with position vector } \mathbf { r } ( t ) = e ^ { t } ( \cos 2 t , \sin 2 t , 8 \} \text {. }


Definitions:

Depression

A psychological impairment characterized by continuous depressive emotions or apathy towards customary engagements, heavily disrupting normal daily functioning.

Immune Functioning

The processes and activities carried out by the immune system to protect the body against diseases, infections, and foreign substances.

Social Support

The perception or reality of being cared for, supported, and having assistance from other people.

Negativity

The tendency to focus on negative elements, expect the worst, and dwell on negative thoughts and feelings.

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