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Find (A) the Divergence and (B) the Curl of the Vector

question 81

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Find (a) the divergence and (b) the curl of the vector field F. F(x,y,z)=coszi+5ysin3zj+4x2zk\mathbf { F } ( x , y , z ) = \cos z \mathbf { i } + 5 y \sin 3 z \mathbf { j } + 4 x ^ { 2 } z \mathbf { k }


Definitions:

Labor Productivity

Labor productivity measures the output of goods and services per unit of labor input, often used as an indicator of economic efficiency and competitiveness.

Wage Rate

Rephrased: Wage Rate, in economics, denotes the fixed amount of money paid on a regular basis for labor services, typically noted as an hourly or annual figure.

Labor Employment

The act or process of employing labor forces and the state of being employed in work.

Marginal Revenue Product

The additional revenue generated from employing one more unit of a factor of production.

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