Find the Length of the Curve $\mathbf { r } ( t ) = - 2 t \mathbf { i } - t \mathbf { j } + t \mathbf { k } , - 2 \leq t \leq 1$

question 11

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = - 2 t \mathbf { i } - t \mathbf { j } + t \mathbf { k } , - 2 \leq t \leq 1$ .

• A) \(3 \sqrt { 6 }\)
• B) \(\sqrt { 6 }\)
• C) \(2 \sqrt { 6 }\)
• D) \(6 \sqrt { 6 }\)

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Definitions:

Social Control

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Gemeinschaft Society

A term introduced by sociologist Ferdinand Tönnies to describe a community or society characterized by close, personal relationships and strong social cohesion.

Division of Labor

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Unity Within Diversity

The concept that highlights cohesiveness and harmony among various groups in society, despite differences in background, culture, or beliefs.