can you please answer this and explain the answer??

Activity 2 Determining the Standard Form of Equation of a Parabola Find the standard equation of the ellipse which satisfies the given conditions. 1. foci (2 - V33, 8) and (2 + v33, 8), the sum of the distances of any point from the foci is 14 2. center (-3,-7), vertical major axis of length 20, minor axis of length 12 3. foci (-21,10) and (3,10), contains the point (-9,15) 4. a vertex at (-3,-18) and a covertex at (-12,-7), major axis is either horizontal or vertical 5. a focus at (-9,15) and a covertex at (1,10), with vertical major axis Activity 3 Take the Challenge! A spheroid (or oblate spheroid) is the surface obtained by rotating an ellipse around its minor axis. The bowl in Figure 1.41 is in the shape of the lower half of a spheroid; that is, its horizontal cross sections are circles while its vertical cross sections that pass through the center are semiellipses. If this bowl is 10 in wide at the opening and v10 in deep at the center, how deep does a circular cover with diameter 9 in go into the bowl? 10 in iv10 in Figure 1.41