Let $\mathbf { F } ( x , y , z ) = \left( z + y ^ { 2 } \right) \mathbf { i } + 2 x y \mathbf { j } + ( x + y ) \mathbf { k }$

question 29

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = \left( z + y ^ { 2 } \right) \mathbf { i } + 2 x y \mathbf { j } + ( x + y ) \mathbf { k }$ . Find the curl of F at the point $( 1,1,1 )$ .

• A) i
• B)j
• C)\(\mathbf { k }\)
• D)\(\mathbf { i } + \mathbf { j } + \mathbf { k }\)
• E)\(- \mathbf { i }\)
• F)\(- j\)
• G)\(- \mathbf { k }\)
• H)\(- \mathbf { i } - \mathbf { j } - \mathbf { k }\)

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Definitions:

Income Earned

Refers to all forms of compensation or remuneration received from employment, including wages, salaries, bonuses, and other earnings.

Hourly Minimum Wage

The lowest legal wage that can be paid to workers for an hour of employment.

Economic Rent

A payment to a factor of production in excess of the cost needed to bring that factor into production.

Harder Work

Increased effort by individuals or groups to achieve better results or higher productivity in their jobs or tasks.