The Graph Below Is Most Likely the Graph of Which $\mathbf { r } ( t ) = 2 t \cos ( t ) \mathbf { i } + 2 t \sin t \mathbf { j } + 2 \mathbf { k } , \quad 0 \leq t \leq 2 \pi$

question 40

Multiple Choice

The graph below is most likely the graph of which of the following equations?

• A) \(\mathbf { r } ( t ) = 2 t \cos ( t ) \mathbf { i } + 2 t \sin t \mathbf { j } + 2 \mathbf { k } , \quad 0 \leq t \leq 2 \pi\)
• B) \(\mathbf { r } ( t ) = 2 \sin ( t ) \mathbf { i } + 2 \cos t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi\)
• C) \(\mathbf { r } ( t ) = 2 \cos ( t ) \mathbf { i } + 2 t \sin t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi\)
• D) \(\mathbf { r } ( t ) = 2 t \cos ( t ) \mathbf { i } + 2 \sin t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi\)
• E) \(\mathbf { r } ( t ) = 2 \sin ( t ) \mathbf { i } + 2 \sin t \mathbf { j } + 2 \mathbf { k } , 0 \leq t \leq 2 \pi\)

Assess the impact of technology on labor productivity and the production function.

Identify factors that influence labor productivity.

Distinguish between increases in physical and human capital.

Recognize how economic structures and policies affect productivity and living standards.

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