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).

---

Definitions:

Cerebral Cortex

The outer layer of the brain, involved in complex cognitive processes like thought, memory, and decision-making.

Aphasia

A condition characterized by the loss of the ability to understand or express speech, caused by brain damage.

Broca's Area

A region in the frontal lobe of the dominant hemisphere, usually the left, associated with speech production.

Wernicke's Area

Wernicke's Area is a brain region responsible for the comprehension of speech and language processing.