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LilLappyLOL
07.04.2020 •
Mathematics
The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hours. Foraging for a shorter time requires better territory, which then requires more energy for its defense.1 Find the foraging time that minimizes energy expenditure if E=0.25F+1.7/f^2
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Ответ:
Therefore F=2.387 hours gives a minimum value of energy expenditure E.
Step-by-step explanation:
Given that,
The energy expended by a bird per day
Differentiating with respect to F
Again differentiating with respect to F
Now set E'=0
Now![E''|_{F=2.387}=\frac{10.2}{2.387^4}0](/tpl/images/0587/3849/b2019.png)
Since, E''>0 at F=2.387, So at F=2.387 , E has minimum value.
Therefore F=2.387 hours that minimizes energy expenditure.
Ответ:
The correct answer is
Statement 1
Statement 7
Statement 4
Statement 2
Statement 3
Statement 5
Statement 6
Step-by-step explanation:
Just took the test.