1. A rectangle has a vertex on the -axis between 0 and 9, a vertex at the point (9,0), a vertex on the line , and a vertex on the curve . Find the dimensions of the rectangle having the maximum possible area.
2. To get the best view of the Statue of Liberty you should be at the position where is a maximum. If the statue stands 92 meters high, including the pedestal, which is 46 meters high, how far from the base should you be?