Let $\vec { F } = x \vec { j }$

question 48

Essay

Let $\vec { F } = x \vec { j }$ Let C₁ be the line from (0, 0)to (2, 0), C₂ the line from (2, 0)to (2,-1), C₃ the line from (2,-1)to (0,-1), and C₄ the line from (0,-1)to (0, 0).
(A)Using the definition of line integral only, without parameterizing the curves, show that the line integral of $\vec{F}$ along C = C₁ + C₂ + C₃ + C₄ is -2.That is, show $\int_{C} \vec{F} \cdot \overline{d r}=-2$ (B)The rectangle, R, enclosed by the lines C₁, C₂, C₃ and C₄ is of area 2.So, by Green's Theorem $\int _ { C } \vec { F } \cdot \overline { d r } = \int _ { R } \left( \frac { \partial x } { \partial x } - 0 \right) d A = \text { Area of } R = 2$ Is something wrong?

Understand theories and principles of ethical leadership.

Comprehend the stages of moral development and their relevance to leadership decisions.

Identify the critical role of character and conduct domains in ethical leadership.

Discern the application of ethical theories in leadership and organizational settings.

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Definitions:

Overdue Accounts

Accounts that have not been paid by the due date, often resulting in penalties.

Experienced Responsibility

The sense of duty or obligation that comes from having been in situations where one had to take charge or make decisions.

Core Job Characteristic(s)

Fundamental attributes of a job that affect an employee's work engagement and motivation, including skill variety, task identity, task significance, autonomy, and feedback.

Feedback from Job

Information and opinions about an individual's performance at work, often provided by supervisors or peers to aid in development and improvement.