I understand how to work with the extreme values and the like, but the problem with these questions is coming up with the function that models the problem.
If someone could help me get started with the function or give me a hint on how to get it, I can handle the rest.
1. Train #1 departs the station at 10:00 and heads due south at 60km/h. Train #2 has been travelling due west at 45km/h and arrives at the same station at 11:00. When were the two trains closest together?
2. A rectangle lies in the first quadrant with a vertex at (0,0) and two of the sides along the coordinate axes. If the fourth vertex lies on the line defined by x+2y-10=0, what is the maximum area of the rectangle?