Find the Length of the Curve $\mathbf { r } ( t ) = - 3 t \mathbf { i } + 2 t \mathbf { j } - t \mathbf { k } , - 2 \leq t \leq 1$

question 48

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = - 3 t \mathbf { i } + 2 t \mathbf { j } - t \mathbf { k } , - 2 \leq t \leq 1$ .

• A) \(2 \sqrt { 14 }\)
• B) \(\sqrt { 14 }\)
• C) \(6 \sqrt { 14 }\)
• D) \(3 \sqrt { 14 }\)

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Definitions:

Unaccountable Consumerism

A critique of consumer behavior that stresses the lack of responsibility in the excessive acquisition of goods, disregarding the environmental and social consequences.

Low Attrition

A situation where there is a minimal rate of reduction or loss of employees or participants over time, indicating stability.