Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 9 mi directly out in the water from a point B on shore. Point B is 20 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.35 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? Total energy (Energy rate over water) (Distance over water) + (Energy rate over land) (Distance over land) Point S is miles away from point A. (Type an integer or decimal rounded to three decimal places as needed.) ..... 9 X 20 20-x
Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 9 mi directly out in the water from a point B on shore. Point B is 20 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.35 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? Total energy (Energy rate over water) (Distance over water) + (Energy rate over land) (Distance over land) Point S is miles away from point A. (Type an integer or decimal rounded to three decimal places as needed.) ..... 9 X 20 20-x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 9
mi directly out in the water from a point B on shore. Point B is 20 mi downshore from the pigeon's home loft at point
A. Assume that a pigeon flying over water uses energy at a rate 1.35 times the rate over land. Toward what point S
downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A?
Total energy (Energy rate over water) (Distance over water) + (Energy rate over land). (Distance over land)
Point S is
miles away from point A.
(Type an integer or decimal rounded to three decimal places as needed.)
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20-x
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