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 108 square feet, find the dimensions of the garden that minimize the cost. Length of side with bricks z: Length of adjacent side y =

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A: Given cost function: C=17x2-444x+18816 where C is the cost in dollars, and x is the number of cell…

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A: Topic = Area

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A: Average cost=A(x)=C(x)x=2x2+54x+98x=2x+54+98x

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A: To find out the dimensions of minimum cost.

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

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A: Solution: Let cost for laying underground = P      cost for laying underwater = 2P

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A: A Norman window has the shape of a rectangle surmounted by a semicircle. This implies that the…

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Q: 2). We want to construct a box whose base length is three times the base width. The material used to…

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

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A: Please see the diagram below to comprehend the situation. East and West dimension is y and the…

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A: Divide cost function to no of unit for avg cost function Differentiate

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

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Q: I would like to create a rectangular orchid garden that abuts my house so that the house itself…

A: Proceed as shown below...

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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: The cost fimction of a manfacturer is C(x) 20x + 30, then the approximate cost of producing the 51"…

A: Given ,  The cost function of manufacturer is C(x) = 20x + 30  Then , the approximate cost of…

Q: A company that produces cell phones has a cost function of C = 21a? – 390z + 21897, where C is the…

A: The cost function is given by C = 21x2-390x+21897 Where, C is the cost in dollars and x is the…

Q: A homeowner wants to build, along her driveway, a garden surrounded by a fence.   If the garden is…

A: Let the length (in feet) of the garden along the driveway and perpendicular to driveway be x and y…

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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: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: Let's find.

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A: Given: A closed rectangular container with a square base is to have a volume of 2592 in3. The…

Q: A manufacturer of open steel boxes has to make one with a square base and a volume of 1 m3. The…

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: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

A: Follow the procedure given below.

Q: A farmer wants to fence an area of 600 square feet in a rectangular field and then divide it in half…

A: Given that, A farmer wants to fence an area of 600 square feet in a rectangular field. After that,…

Q: A company that produces cell phones has a cost function of C = 21æ² – 555x + 14960, where C is the…

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

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Q: A rectangle 20 m long and 2 m tall is to be cut twice perpendicularly to the base. The result will…

A: Topic :- application of derivatives

Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A:

Q: the area of a plane shape is given by A=(10x -2)cm². the area is not greater or equal to 12cm². it…

A: Please refer to the image below

Q: Rita needs to make a garden plot which has an area less than 18ft2 . The length should be 3ft longer…

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Q: A piece of wire 6 m long is cut into two pieces. One piece is bent into a square and the other is…

A: We need to find the combined area of square & triangle & where it is maximum