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bogdanovich [222]
2 years ago
15

A farmer wants to construct a rectangular pigpen so only 3 sides of the pen will need to be fenced. If the farmer has 400 ft of

fence, whats the maximum area he can enclose?
Mathematics
1 answer:
Fofino [41]2 years ago
3 0

Answer:

The answer is "\bold{100\ ft \times 200\ ft}"

Step-by-step explanation:

A = area of the pigpen 

x = its perpendicular length of the sides of the stone wall

Maximize function:

\to A = x (400-2x)\\\\Where\ \ 0

So, the size of pigpen is = 100 ft by 200 ft that is (perpendicular and parallel to wall), that's why the answer is "\bold{100\ ft \times 200\ ft}"

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The pilot of a Coast Guard patrol aircraft on a search mission had just spotted a disabled fishing trawler and decided to go in
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Answer:

\frac{dD}{dt}= 181\frac{168}{1600}

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= 1600^2-1000^2

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Now we can find out how fast the aircraft is receding from the trawler

( notice that the height is not changing)

so differentiating equation 1 w.r.t t we get

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D\frac{dD}{dt}= h\frac{dh}{dt}+x\frac{dx}{dt}

now putting values we get

1600\frac{dD}{dt}= 1000\times0+232\times1249

\frac{dD}{dt}= 181\frac{168}{1600}

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