a. A rectangular pen is built with one side against a barn. If 2100 m of fencing are used for the other t...
a. A rectangular pen is built with one side against a barn. If
2100
m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen?
| b. A rancher plans to make four identical and adjacent
rectangular pens against a barn, each with an area of
100 m squared |
|
(see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? |
A rectangle is labeled "Barn." Four identical and adjacent
rectangles share a side with the bottom of the barn. Each rectangle
has an area of 100 square meters.
Barn |
100
100
100
100
Homework Answers
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a. A rectangular pen is built with one side against a barn. If 2100 m of fencing are used for the other t...
a. A rectangular pea is built with one side against a bam. If 1200 m offencing...
a. A rectangular pea is built with one side against a bam. If 1200 m offencing are used for the other three sides of the pon, what dimensions made the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a bam, each with an area of 225 offence that mus be used segure) What are the dimensions of each pon that minimize the amount a. Let A be the area of the...
Two triangular pens are built against a barn. Two hundred meters of fencing are to be...
Two triangular pens are built against a barn. Two hundred meters of fencing are to be used for the three sides and the diagonal dividing fence. What dimensions of maximize the area of the pen? What is the area of the pen? What is the length of the dividing fence? b- Newton's Method is a method to approximate the roots of a function. It states: 1. Choose an initial approximation X, as close to the root as possible, 2. For...
6. A farmer is to construct two pens in such a way that it is a...
6. A farmer is to construct two pens in such a way that it is a rectangle split into two equal parts and is against a barn so that he can use the side of the bar as a side, see accompanying figure not needing to use any fencing material on that barn side. If he has 2000 feet of fencing material, what are the dimensions of the pen(s) that would maximize the area enclosed by the fence? Pen B...
A rancher has 400 feet of fencing to put around a rectangular field and then subdivide...
A rancher has 400 feet of fencing to put around a rectangular field and then subdivide the field into two identical smaller rectangular plots by placing a fence parallel to one of the fields shorter sides. find the dimensions that maximize the enclosed area. write your answers as a fraction reduced to lowest terms.
A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle
A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80ft of fence? 800 sq ft?What should the dimensions of the garden be to give this area? 40ft is given so I answered with 40x20?Is this correct?
Hector is building a rectangular shaped dog pen. One side will be the east side of...
Hector is building a rectangular shaped dog pen. One side will be the east side of his house and the other three sides will be a mesh fencing that costs $7.25 per foot. He wants the enclosed area to be 4000 square feet. He will also need four corner posts costing $8.50 each. a. Let x be the side of the dog pen that is perpendicular to his house. Write a function C(x) for the cost of the materials for...
(1 pt) A landscape architect wished to enclose a rectangular garden on one side by a brick wall c...
(1 pt) A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $30/ft and on the other three sides by a metal fence costing $20/ft. If the area of the garden is 128 square feet, find the dimensions of the garden that minimize the cost Length of side with bricks Length of adjacent side y =
(1 pt) A landscape architect wished to enclose a rectangular garden on one side by a brick...
6. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals....
6. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals. One of the corrals is bordered on one side by a barn. a) What dimensions should be used so that the enclosed area will be a maximum? (Be sure to use calculus to validate that your solution is indeed a maximum.) A = 2X X = 2x./200-4X - 200 . d A dx - 2oo8X b) What is that maximum area? - 0 20%0-8x=0...
all of them please CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he...
all of them please
CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
A landscape architect wished to enclose a rectangular garden on one side by a brick wall...
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $60/ft and on the other three sides by a metal fence costing $50/ft. If the area of the garden is 8 square feet, find the dimensions of the garden that minimize the cost. Length of side with bricks x = Length of adjacent side y =
a. A rectangular pea is built with one side against a bam. If 1200 m offencing are used for the other three sides of the pon, what dimensions made the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a bam, each with an area of 225 offence that mus be used segure) What are the dimensions of each pon that minimize the amount a. Let A be the area of the...
Two triangular pens are built against a barn. Two hundred meters of fencing are to be used for the three sides and the diagonal dividing fence. What dimensions of maximize the area of the pen? What is the area of the pen? What is the length of the dividing fence? b- Newton's Method is a method to approximate the roots of a function. It states: 1. Choose an initial approximation X, as close to the root as possible, 2. For...
6. A farmer is to construct two pens in such a way that it is a rectangle split into two equal parts and is against a barn so that he can use the side of the bar as a side, see accompanying figure not needing to use any fencing material on that barn side. If he has 2000 feet of fencing material, what are the dimensions of the pen(s) that would maximize the area enclosed by the fence? Pen B...
(1 pt) A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $30/ft and on the other three sides by a metal fence costing $20/ft. If the area of the garden is 128 square feet, find the dimensions of the garden that minimize the cost Length of side with bricks Length of adjacent side y =
(1 pt) A landscape architect wished to enclose a rectangular garden on one side by a brick...
6. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals. One of the corrals is bordered on one side by a barn. a) What dimensions should be used so that the enclosed area will be a maximum? (Be sure to use calculus to validate that your solution is indeed a maximum.) A = 2X X = 2x./200-4X - 200 . d A dx - 2oo8X b) What is that maximum area? - 0 20%0-8x=0...
all of them please
CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $60/ft and on the other three sides by a metal fence costing $50/ft. If the area of the garden is 8 square feet, find the dimensions of the garden that minimize the cost. Length of side with bricks x = Length of adjacent side y =
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