Find the Curl of the Vector Field $\overrightarrow { \mathbf { F } } ( x , y , z ) = ( 8 y - z ) \hat { \mathbf { i } } + x y z \hat { j } + 4 e ^ { z } \hat { \mathbf { k } }$

question 85

Multiple Choice

Find the curl of the vector field $\overrightarrow { \mathbf { F } } ( x , y , z ) = ( 8 y - z ) \hat { \mathbf { i } } + x y z \hat { j } + 4 e ^ { z } \hat { \mathbf { k } }$

• A) \(\operatorname { curl } ( \overrightarrow { \mathbf { F } } ) = - x y \hat { \mathbf { i } } - \hat { \mathbf { j } } + ( y z - 8 ) \hat { \mathbf { k } }\)
• B) \(\operatorname { curl } ( \overrightarrow { \mathbf { F } } ) = - x y \hat { \mathbf { i } } - \hat { \mathbf { j } } + ( 8 - y z ) \hat { \mathbf { k } }\)
• C) \(\operatorname { curl } ( \overrightarrow { \mathbf { F } } ) = - x y \hat { \mathbf { i } } + \hat { \mathbf { j } } + ( 8 - y z ) \hat { \mathbf { k } }\)
• D) \(\operatorname { curl } ( \overrightarrow { \mathbf { F } } ) = x y \hat { \mathbf { i } } + \hat { \mathbf { j } } + ( y z - 8 ) \hat { \mathbf { k } }\)
• E) \(\operatorname { curl } ( \overrightarrow { \mathrm { F } } ) = x y \hat { \mathbf { i } } - \hat { \mathbf { j } } + ( y z - 8 ) \hat { \mathbf { k } }\)

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Definitions:

Assessment

The evaluation or estimation of the nature, quality, or ability of someone or something.

DRH

Differential reinforcement of high rates of behavior, a technique to increase the frequency of target behaviors by reinforcing them only when they occur at high rates.

DRL

Differential Reinforcement of Low Rates, a behavior modification technique used to encourage low rates of a particular behavior.

DRO Schedule

Differential Reinforcement of Other behavior, a procedure that reinforces an organism for displaying any behavior other than a target behavior.