Chapter 12.CR, Problem 2CC

To determine

(a)

To find:

The geometric definition of an ellipse.

To determine

(b)

To give:

The equation of an ellipse centered at the origin with major axis along the $x$ axis. Also find the minor axis, foci, and the eccentricity of the ellipse.

To determine

(c)

To sketch:

The Graph of the equation $\frac{x^2}{16}+\frac{y^2}{9}=1$, find the lengths of the major and minor axis, and the coordinates of the foci.