Find the Vertices, Foci, and Eccentricity of the Ellipse Given $$\frac { 1 } { 3 } x ^ { 2 } + \frac { 1 } { 27 } y ^ { 2 } = \frac { 1 } { 9 }$$

question 63

Essay

Find the vertices, foci, and eccentricity of the ellipse given by $$\frac { 1 } { 3 } x ^ { 2 } + \frac { 1 } { 27 } y ^ { 2 } = \frac { 1 } { 9 }$$ . Determine the lengths of the major and minor axes, and sketch the graph.

---

Definitions:

Parasympathetic

Part of the autonomic nervous system responsible for conserving energy and facilitating rest and digestion processes.

Somatic

Relating to the body, especially as distinct from the mind or psyche.

Central

Pertaining to the primary or most important part of something, often the center or core.

Depolarized

A state in which the difference in electric charge across the cell membrane is reduced, affecting cell function.