Chapter 11.2, Problem 5E

To determine

To determine the equation of the ellipse.

Answer to Problem 5E

Graph2

  

Explanation of Solution

Given information:

The equation given is:

  $\frac{{\text{x}}^{\text{2}}}{\text{16}}+\frac{{\text{y}}^{\text{2}}}{\text{4}}=1$

The following graphs are given:

1. 2.

  

3. 4.

  

In the equation $\frac{{\text{x}}^{\text{2}}}{\text{16}}+\frac{{\text{y}}^{\text{2}}}{\text{4}}=1$ , the denominator of ${\text{x}}^{\text{2}}$ is larger, the ellipse has a major horizontal axis.

The value of ${\text{a}}^{\text{2}}=16\text{ or a}=4$ .

So, the graph2 satisfies the equation.