Question

i cant understnad this...optimization problem

Answer 1

A swimmer is at a point 500 m from the closest point on a straight shoreline. She needs to reach a cottage located 1800 m down shore from the closest point. If she swims at 4m/s and walks at 6m/s, how far from the cottage should she come ashore so as to arrive at the cottage in the shortest time?

Answer 2

Hmm I can't quite get the picture drawn correctly. The story is rather confusing...

Answer 3

Let \(\large s\) be the distance she has to swim.
Then \(\large s'\) is the rate at which she swims.

Answer 4

I can't seem to figure out where to draw the cottage based on the directions...