farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y epresent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. et F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x. (x) = ind the derivative F'(x). "'(x) = ind the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) %3D Vhat should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence? maller value ft arger value ft Submit Answer
farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y epresent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. et F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x. (x) = ind the derivative F'(x). "'(x) = ind the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) %3D Vhat should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence? maller value ft arger value ft Submit Answer
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:A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y
represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence.
Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x.
F(x) =
Find the derivative F'(x).
F'(x) =
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence?
smaller value
ft
larger value
ft
Submit Answer
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