تم الحل ✓
categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
Homing pigeons avoid flying over water. Suppose a homing
pigeon is released on an island at point C, which is 10 mi
directly out in the water from a point B on shore. Point B is
22 mi downshore from the pigeon's home loft at point A.
Assume that a pigeon flying over water uses energy at a rate
1.28 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?
10
22-x
22
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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