Find the Eccentricity and Directrix of the Conic $r = \frac { 3 } { 1 - \cos \theta / 2 }$

question 29

Essay

Find the eccentricity and directrix of the conic $r = \frac { 3 } { 1 - \cos \theta / 2 }$ and graph the conic. Find an equation for the conic rotated counterclockwise about the origin through an angle $\pi / 6$ , and graph it.

---

Definitions:

Property Rights

The theoretical and legal ownership rights assigned to the use, control, and transfer of property, which can be applied to both physical and intellectual properties.

Central Planning

An economic system where decisions regarding production and investment are embodied in a comprehensive plan formulated by a central authority, typically the government.

Laissez-faire

Laissez-faire is an economic philosophy advocating minimal government intervention in the business affairs of private individuals and enterprises.

Command Economies

Economic systems where the government or central authority controls all major aspects of production and distribution of goods and services.