Evaluate the Line Integral Over the Given Curve $C$

question 114

Short Answer

Evaluate the line integral over the given curve $C$ .
$$\int _ { C } 2 y ^ { 2 } z d s ; C : \mathbf { r } ( t ) = 10 t \mathbf { i } + \sin 7 t \mathbf { j } + \cos 7 t \mathbf { k } , 0 \leq t \leq \frac { \pi } { 2 }$$

---

Definitions:

Maslow's Hierarchy

is a psychological theory proposed by Abraham Maslow that ranks human needs in a pyramid, from basic physical needs to higher-level psychological needs and self-actualization.

Organization

Any group or aggregation of individuals into a purposeful entity, such as those found in business and industry, government, and the social community; also, the process of aligning people and resources to accomplish tasks (visions, goals, initiatives, and the like).

Recognition Needs

The requirement for acknowledgment and appreciation from others, often as a motivator in workplace settings.

Maslow's Hierarchy

A theory in psychology proposed by Abraham Maslow, which suggests that people are motivated by five basic categories of needs: physiological, safety, love/belonging, esteem, and self-actualization.