Question
Asked Dec 6, 2019
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A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use? Note: The answer to this problem requires that you enter the correct units. (Enter your answer with a space before the units)

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Step 1

A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use? Note: The answer to this problem requires that you enter the correct units. (Enter your answer with a space before the units)

Step 2

Let the dimensions of the field be x and y

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xy = 1000000 1000000 .(i) х let p be the shortestlengthof the fence then p= 2x+2y+x =p= 3x+2y| Substituting the value of y we get 2(1000000) p = 3x+: .....

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Step 3

To maximize the function find the  fi...

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(2000000) p= 3x+ х (2000000) 3x+ d(p) _ d dx dx х dp 2000000 =3– dx фp dx 2000000 =3- 2000000 =3=. 2000000 3 {2000000 3 x=1000, =

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Tagged in
MathCalculus

Derivative

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