Using the focal points (0, 3) and (0, -3) and the minor vertices at (4, 0) and (-4,0) derive an equation of an ellipse and a hyperbola. Show all of your work.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe