Divergent paths? Two boats leave a port at the same lime, one traveling west at 20 mi/hr and the other traveling southwest at 15 mi/hr. At what rate is the distance between them changing 30 min after they leave the port?

Solution: Step1 To find At what rate is the distance between them changing 30 min after they leave the port Step2 Given that Two boats leave a port at the same lime, one traveling west at 20 mi/hr and the other traveling southwest at 15 mi/hr Step3 Step4 The boat is traveling west at 20mi/hr.. x1 = - (20 mi/hr) t ; y1 = 0 are coordinates of boat #1 at time t in hours We have, dx1/dt = - 20; dy1/dt = 0 Other boat is traveling southwest at 15 mi/hr Then, x2 = - (15 mi/hr)...