Find the Eccentricity and Identify the Conic Given By $r = \frac { 16 } { 2 + 6 \sin \theta }$

question 74

Essay

Find the eccentricity and identify the conic given by $r = \frac { 16 } { 2 + 6 \sin \theta }$ , sketch it and label its vertices.

---

Definitions:

Probability Assignment Rule

A principle that assigns a probability to each outcome of a well-defined experiment in accordance with certain conditions.

Random Spinner

A device used to generate random outcomes, often used in games of chance or to make random selections.

Disjoint Events

Events that cannot happen at the same time.

Ace of Spades

The Ace of Spades is a playing card in the standard deck which often carries unique significance and design in games and culture, sometimes symbolized as good fortune or death.