Please show all the steps!

4. Consider an ellipse with center (0, 0), vertex (5, 0) and focus (4, 0). a. Determine an equation of this ellipse. 1). Draw a reasonany good graph of this ellipse. c. Set up an integral to determine the length of the top half of this ellipse. Do not evaluate the integral. Also, please do not oversimplify the calculations. Simplifying takes time and is not necessary. d. Rotate the top half of this ellipse about the xraxis. The resulting solid is an ellipsoid. Set up an integral to determine surface area of this ellipsoid. Do not evaluate the integral. Also. please do not overshnplify the calculations. Simplifying takes time and is not necessary