A sea otter is 10 meters from a very long and straight river, with a large river bank. We call this point (0,10). A wolf suddenly appears at the point (-7, 13). The otter heads directly to a point on the river bank to jump in to safety. The wolf heads to the exact same point that the otter is heading toward, hoping to get there first. If the sea otter runs at 8 m/s and the wolf runs at 12 m/s, find the point (to three decimal places) that the sea otter should run to, so that it reaches that point with the most time to spare. That is, find the point on the river bank so that if both animals head toward that point, the difference between the the wolf's time and the otter's time is a maximum. (See diagram below.) Calculus can be used, or the appropriate equation can be solved with a graphing calculator.