Evaluate the Line Integral $\int _ { C } x d y$

question 54

Multiple Choice

Evaluate the line integral $\int _ { C } x d y$ along the circle $x = \cos t , y = \sin t , 0 \leq t \leq 2 \pi$ .

• A) \(\frac { \pi } { 2 }\)
• B) \(\pi\)
• C)\(2 \pi\)
• D) \(4 \pi\)
• E) \(- \frac { \pi } { 2 }\)
• F) \(- \pi\)
• G) \(- 2 \pi\)
• H) \(- 4 \pi\)

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Definitions:

Teamwork

The collaborative effort of a group to achieve a common goal or complete a task in the most effective and efficient way.

Social Loafing

The phenomenon where individuals exert less effort to achieve a goal when they work in a group rather than alone.

Individual Accountability

The obligation of an individual to account for his/her activities, accept responsibility for them, and to disclose the results in a transparent manner.

Groupthink

A psychological phenomenon that occurs within a group of people when the desire for harmony or conformity results in irrational or dysfunctional decision-making outcomes.