Solve the following word problem. a man travels from town x to town y at an average rate of 50 mph and returns at an average rate of 40 mph. he takes a 1/2 hour longer than he would take if he made the round trip at an average of 45 mph. what is the distance from town x to town y?

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.