Calculus, Optimization: Ship A is 60 miles south of ship B and is sailing North at a rate of 21 mph. If ship B is sailing west at a rate of 22 mph, in how many hours will the distance between the two ships be minimized?
1 Answer
Explanation:
Primary equation:
Constraint Equations:
Substitute constraint equations into the primary equation:
Find First derivative:
Find critical number:
Look at numerator:
Do a 1st derivative test to see if
Therefore,