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

question 219

Essay

Find (a) the curl and (b) the divergence of the vector field $\mathbf { F } ( x , y , z ) = x ^ { 2 } \mathbf { y } \mathbf { i } + y z ^ { 2 } \mathbf { j } + z x ^ { 2 } \mathbf { k }$ .

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Definitions:

Bivariate Distribution

A two-variable distribution that describes the probability of outcomes with two different random variables.

Joint Probabilities

A statistical measure that determines the likelihood of two events occurring simultaneously.

Joint Probability

The likelihood of two events occurring simultaneously.

Independent

Not influenced or controlled by others; in statistics, refers to variables that are not related or do not affect each other.