A. Write the equation of the ellipse that satisfies the given conditions. Draw the ellipse, its foci and directrices.

1. The vertices are at (0,13) and the latus rectum is 288/13

2. One vertex is at (0, V13) and an endpoint of the minor axis is (-2,0)

3. The foci are on the y-axis, the lengtth of the major axis is 5 and the length of the minor axis is 2.

4. An endpoint of the latus rectum is (4/5, V5) and the vertices have coordinates (0,3) and (0,-3).

5. The vertices are (-4, 0) and (4,0), and the length of the minor axis is 4V3.

6. An endpoint of the minor axis is at (-1,-10), a vertex is at (-14,2), and a focus is at (-1+V5, 2)

7. The foci are at (-2+V3,3) and (-2-V3, 3) and the length of the major axis is 25.​