1. A rectangle is inscribed in the region of quadrant one bounded by the graph of y = , and the axes as shown below. Find the maximum area possible for such a rectangle. 2. An airport (point A) and a train station (point B), are 13 miles apart and located 8 and 3 miles due east, respectively, of a long, straight highway. A construction company has a contract to build a road from the airport to a point along the highway and from that point to the train station. Determine the length (to the nearest tenth of a mile) of the shortest road that meets these requirements. Use the figure to help you get started. X di 13 i 12 12 - x --Ji 5