Provide an Appropriate Response $x ^ { 2 } + y ^ { 2 } < 3 x + y$

question 14

Essay

Provide an appropriate response.
-Consider the inequality $x ^ { 2 } + y ^ { 2 } < 3 x + y$ .
(a) Find an equivalent inequality in polar coordinates.
(b) Use an integral with respect to $\theta$ to find the area of the region defined by the inequality.
(c) Find the length of the curve that forms the boundary of the region defined by the inequality.
(d) Find the slope of this curve at the point $( 2,2 )$ .

---

Definitions:

External Leadership Behaviors

Leadership actions that involve interactions outside of the immediate team or organization, often focusing on networking and external relationship building.

Leader's Success

The achievement of desired outcomes and goals through effective guidance, influence, and management of others by an individual in a leadership position.

Planning

The process of setting objectives, determining strategies, and outlining tasks and schedules to achieve the goals of an organization or project.

Work Unit

A functional group or team within an organization, often defined by a common task, project, or goal.