Compute the Flux of the Vector Field ${ \vec { F } } = ( x - 3 y ) \vec { i } + ( 4 y - 2 z ) \vec { j } + 4 x \vec { k }$

question 29

Short Answer

Compute the flux of the vector field ${ \vec { F } } = ( x - 3 y ) \vec { i } + ( 4 y - 2 z ) \vec { j } + 4 x \vec { k }$ through the surface S, where S is the part of the plane z = x + 2y above the rectangle $0 \leq x \leq 2,0 \leq y \leq 3$ oriented downward.

---

Definitions:

Standard Error

A measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates.

N

A symbol often used to represent a sample size or the number of observations or units in a dataset.

Sampling Distribution

The spectrum of probabilities for a predetermined statistic, collected from a random sample.

Probability Density Function

A function that describes the likelihood of obtaining the possible values that a random variable can assume, used in continuous probability distributions.