Find location of point p that allow bird to complete journey

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Reference no: EM131008243

Flights of Birds During daylight hours, some birds fly more slowly over water than over land because some of their energy is expended in overcoming the downdrafts of air over open bodies of water. Suppose a bird that flies at a constant speed of 4 mph over water and 6 mph over land starts its journey at the point E on an island and ends at its nest N on the shore of the mainland, as shown in the accompanying figure. Find the location of the point P that allows the bird to complete its journey in the minimum time (solve for x). Minimizing Travel Time A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline (see the accompanying figure).

1408_Flights of Birds During daylight hours.jpg

Reference no: EM131008243

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