A farmer plans to enclose a rectangular pasture adjacent to a river. (see figure). The pasture must contain 245,000 square meters in order to provide enough grass for the herd. What dimensions will require the least amount of fencing if no fencing is needed along the river? X = m y =

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: An air conditioner manufacturer recommends that its portable units provide between 4 and 6 BTUS of…

A: Given that portable units provide between 4 and 6 BTU colling per cubic foot to operate most…

Q: A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed…

A:

Q: An open top rectangular tank with a square base is to have a volume of 10 cubic feet. The bottom is…

A: To find out the dimensions of minimum cost.

Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A:

Q: We want to construct a box whose base length is three times the base width. The material used to…

A: Solution : We given the volume of the box v = 50 ft2 Cost of material used to build top and bottom…

Q: Afarmer owns 1000 m of fence and wants to enclose the largest possible rectangular area. The region…

A: we use second derivative test to find dimensions where area is maximum

Q: A rectangular corral of 486 square meters is to be fenced off and then divided by a fence into two…

A:

Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

A: To determine the dimension of the box which minimize the amount of material used.

Q: A playground with a rectangle shape with a 500 m^2 area is to be surrounded by a fence, with an…

A: topic - optimization

Q: Find the dimensions of the rectangle, with the largest possible area, enclosed in the semicircle, y…

A: we use second derivative test to find out maximum area of rectangle

Q: An air conditioner manufacturer recommends that its portable units provide between 4 and 6 BTUs of…

A: Given: Portable unit provide between 4 to 6 BTU's of cooling per cubic foot to operate. Concept:…

Q: Two boxes with the same volume contain socks that you designed for a fundraiser. Box A is 6 inches…

A: Two boxes with the same volume containing socks are given. We need to decide which box has more…

Q: A rectangle has a perimeter of 112 ft then the dimensions of the rectangle with maximum area is a)…

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Q: 3. A 5,000 m? rectangular area of a field is to be enclosed by a fence, with a moveable inner fence…

A:

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: This question is based on the Applications of derivative : maxima and minima

Q: A natural gas company is laying an underground gas pipeline in a new area with a small lake that is…

A: Join the points A and B, then we obtain a right-angled triangle. Now using the Pythagoras theorem we…

Q: An open-topped storage box with a square base has a capacity of 5 m3. The material for the sides…

A:

Q: Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at Spudnickville Golf…

A: In order to find the distances through river and ground to reach in minimum time, total time taken…

Q: A zoo habitat along a glass walkway must enclose 300 ft2 and use as little border fencing as…

A: Given that, the area of the zoo is 300 square feet. Let x represents the length of the zoo and y…

Q: Analyze the following problems then solve. Show necessary solutions. 1. A three-sided fence is to be…

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Q: The sugarcane plantation below has an area of (x 2 + 5x + 6) hm^2 . What are its possible…

A: Given:- The sugarcane plantation below has an area of (x 2 + 5x + 6) hm^2 . To find:- Possible…

Q: Hi, I am wondering how to do the work for this problem and what the final answer would be. Thank you

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Q: Kristian has been tasked with creating a glass aquarium with a square bottom and an open top. It…

A:

Q: The volume of a rectangular box with length x, width y and height h is given by V=hxy. If the…

A:

Q: Define the livable space of a building to be the volume of space in the building where a person 6…

A:

Q: An open top rectangular tank with square bases is to have a volume of 10 cubic meters. The material…

A: To find out the most economical height.

Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A: Here we solve the given problem of calculus.

Q: Suppose the farmer makes the rectangular holding pen using an existing fence for one side. What…

A: Let the farmer makes the rectangular holding pen using an existing fence for one side.  let the…

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: NOTE: Refresh your page if you can't see any equations. . here we have and in the question given…

Q: A square-based, box-shaped shipping crate is designed to have a volume of 16ft. The material used to…

A:

Q: Suppose you are designing a rectangular room with a fixed perimeter of 60 ft, use the method of…

A: Consider the equation

Q: A fence is to be built to enclose a rectangular area of 250 square feet. The fence along three sides…

A:

Q: Albert wants to make an open box from a rectangular piece of cardboard by cutting squares out of the…

A: given ,  measure of cardboard , length =32 inches   and   breadth = 20 inches

Q: Bill is constructing a rectangular corral in his yard. He only has 32 ft of fencing material and…

A: Bill is constructing a rectangular corral in his yard and he has only 32 ft of fencing material. We…

Q: In order to properly feed her animals, a rancher needs to enclose a total area of 4704 square feet…

A:

Q: Design a 6m open-top box shaped like a circular cylinder as shown in Figure. What dimensions will…

A:

Q: closed box with a square base is to contain 252 cubic feet. The bottom costs $5 per square ot, the…

A: Please refer to the image below

Q: You’re building five identical pens adjacent to each other with a total area of 1000 m^2, as shown…

A:

Q: A farmer needs to enclose a rectangular pasture containing 2,500,000 square feet. Suppose that along…

A: Given that area=2,500,000 square feet So, xy=2500000  Or, y=2500000/x   Total cost: C=15x+10y+10x or…

Q: A farmer has 100 feet of fence and wants to make a rectangular holding pen. What dimensions should…

A: Given: Length of fence available = 100 ft

Q: An architect needs to design a rectangular room with an area of 89ft2 . What dimension should be use…

A:

Q: You are building five identical pens adjacent to each other with a total area of 1000 square meters,…

A: Topic = Application of derivative

Q: (a) A farmer intends to fence off a rectangular pen for his pig using his barn as one of the sides.…

A: As per the answering guideline, only one question can be answered at a time. Please repost the other…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A:

Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

A:

Q: A rectangle has a perimeter of 14 ft then the dimensions of the rectangle with maximum area is a)…

A: Perimeter of a rectangle is given by P=2(l+b), where l is length and b is breadth. Since the…

Q: 16. A farmer wants to fence an area of 2 million square feet in a rectangular field and then divide…

A: Here first we find the total length of fence in terms of the sides. Now using differentiation we…

Q: box with a square base and open top must have a volume of 32000 cm^3 Find the dimension of the box…

A:

Q: 3. Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.