Calculate the Circulation of the Field F Around the Closed $\mathbf { F } = x y y ^ { 2 } \mathbf { i } + x ^ { 2 } y \mathbf { j } ;$

question 2

Multiple Choice

Calculate the circulation of the field F around the closed curve C.
- $\mathbf { F } = x y y ^ { 2 } \mathbf { i } + x ^ { 2 } y \mathbf { j } ;$ curve $C$ is the counterclockwise path around $C _ { 1 } \cup C _ { 2 } : C _ { 1 } : r ( t ) 6 \cos t i + 6 \sin t j , 0 \leq t \leq \pi$
$$C _ { 2 } : r ( t ) = t i , - 6 \leq t \leq 6$$

• A) 72
• B) 36
• C) 0
• D) 6

---

Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.