Calculate $\int_{C} \vec{F} \cdot d \vec{r}$ When $\overrightarrow { \vec { F } } = ( y + 5 z ) \vec { i } + ( x + 4 z ) \vec { j } + 4 \vec { k }$

question 30

Short Answer

Calculate $\int_{C} \vec{F} \cdot d \vec{r}$ when $\overrightarrow { \vec { F } } = ( y + 5 z ) \vec { i } + ( x + 4 z ) \vec { j } + 4 \vec { k }$ and C is the line from the origin to the point (4, 4, 4).

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Definitions:

Evolutionary Theory

A scientific theory explaining the process by which species undergo genetic changes over generations, leading to diversity of life.

Evolutionary Perspective

A theoretical approach that explains psychological traits as adaptations that have evolved to solve recurrent problems in human ancestral environments.

Triangular Theory

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Social Exchange Theory

A theory which maintains that people provide help to someone else when the benefits of helping and the costs of not helping outweigh the potential costs of helping and the benefits of not helping.