(A) Find the Eccentricity and Directrix of the Conic $r = \frac { 1 } { 5 - 4 \cos \theta }$

question 6

Essay

(a) Find the eccentricity and directrix of the conic $r = \frac { 1 } { 5 - 4 \cos \theta }$ and graph the conic and its directrix.
(b) If this conic is rotated about the origin through and angle
, write the resulting equation and draw its graph.

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Definitions:

Family's Boundaries

Family's boundaries refer to the rules and limits that define acceptable behavior and interactions within the family unit and between the family and external entities.

Cultural Variables

Elements that differ from one culture to another, influencing beliefs, behaviors, and values.

Homeostasis

A concept from systems theory referring to the tendency of a system, including biological and psychological systems, to maintain internal stability and equilibrium.

Interactional Sequence

A series of social interactions that follow a predictable pattern, often analyzed in therapy or social psychology to understand behavioral dynamics.