Find the Curl of the Vector Field $\mathbf { F }$

question 27

Multiple Choice

Find the curl of the vector field $\mathbf { F }$ .
$$\mathbf { F } ( x , y , x ) = 7 y z ^ { 2 } \mathbf { i } + 4 x ^ { 5 } y ^ { 5 } \mathbf { j } + 8 x \mathbf { k }$$

• A) \(20 x ^ { 5 } y ^ { 4 }\)
• B) \(14 y z + 20 x ^ { 4 } y ^ { 5 } - 7 z ^ { 2 } - 8\)
• C) \(( 14 y z - 8 ) \mathbf { j } + \left( 20 x ^ { 4 } y ^ { 5 } - 7 z ^ { 2 } \right) \mathbf { k }\)
• D) \(20 x ^ { 5 } y ^ { 4 } \mathbf { j }\)

Analyze the impact of mergers between monopolists on market outcomes.

Evaluate how the structure of a market influences consumer prices in vertical integration scenarios.

Understand the long-run equilibrium condition in a competitive market with fixed-coefficient technology.

Analyze the employment and wage setting behavior in monopolistic and monopsonistic labor markets.

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