Find the Length of the Curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + t ^ { 2 } \mathbf { j } + \ln t \mathbf { k } , 1 \leq t \leq e ^ { 7 }$

question 81

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + t ^ { 2 } \mathbf { j } + \ln t \mathbf { k } , 1 \leq t \leq e ^ { 7 }$
Select the correct answer.

• A) \(e ^ { 14 }\)
• B) \(e ^ { 14 } + 6\)
• C) \(e ^ { 7 }\)
• D) \(e ^ { 7 } + 6\)

Distinguish between direct and indirect regulations within the legal profession.

Understand the concept of the production possibilities frontier and its implications for production efficiency and opportunity cost.

Grasp the principles of economic equity and the various perspectives (Rawlsian, utilitarian, and egalitarian) on equitable outcomes.

Interpret the significance of points on, within, and outside the utilities possibilities frontier in terms of efficiency, equity, and attainability.

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