-2 Albert wants to make an open box from a rectangular piece of cardboard by cutting squares out of the corners and then folding up the resulting sides. If the cardboard measures 32 inches by 20 inches, how big should the squares be in order to maximize the volume of the resulting box? 4.

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Q: 3. Find two numbers whose sum is 6, such the sum of their cubes is minimum.

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A: For a positive integer n, the formula for n! is n(n – 1)(n – 2)…..3.2.1.

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A: A piece of wire 10m long and cut into two pieces One piece is bent into a square and the other is…

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A: Given that ,Rancher needs two equal adjacent rectangular pens with a fence in middle. this can be as…

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A: Concept: The Lagrange multiplier method: The Lagrange multiplier method is a method for determining…

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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Q: a. A rectangular pen is built with one side against a barn. If 300 m of fencing are used for the…

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A: Concept: The calculus helps in understanding the changes between values that are related by a…

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

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Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A: Let length of interior wall =x length of ourside wall=y total perimeter=270 4x+6y=270 2x+3y=135…

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Q: 1.) A retiree has 60 garden plots on which he could plant cabbage and pechay. His friend told him…

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: A piece of wire 29 m long is cut into two pieces. One piece is bent into a square and the other is…

A: A piece of wire 29 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: 8) When a management training company prices its seminar on management techniques at $400 per…

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Q: 49. The sum of two positive numbers is 24. What two numbers will maximize the product?

A: Given that the sum of two positive numbers is 24.Let one positive number is x and another positive…

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Q: A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: 8. A box is to be made with an open top from a sheet of cardboard by cutting four equal squares out…

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Q: 2. A management company is going to build a new apartment complex. They know that if the complex…

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Q: Mr. Johnson has decided they want to start selling textbooks. In the past, when they have sold the…

A: We will use concept for relative maximum or minimum To maximize or minimize  a function f(x) 1st we…

Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: 4) An ice cream company is designing fancy glass containers for their ice cream. The containers will…

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Q: 5. Crunchy Coco Hunks cereal comes in a rectangular box that must be exactly 4 inches deep. If the…

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Q: 9. A student wishes to maximize the amount of poster space for an art exhibit. The requirements are…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: A farmer wants to make three identical rectangular enclosures along a straight river, as in the…

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Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

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Q: 1. Amazon wants to create an open-top box with a square bottom with only 149 in2 cardboard (the…

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Q: a. A rectangular pen is built with one side against a barn. If 2500 m of fencing are used for the…

A: Part (a) The diagram of the field is shown below. Given that, the total length of fencing is 2500…

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Q: 3. Packaging From a 9-inch by 9-inch piece of cardboard, Souare corners are cut out so that the…

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

A: According to the given problem , A piece of wire L m long is cut into two pieces and let first piece…

Q: 2. A rectangular area is enclosed with fencing on three sides, with the fourth side along a house.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

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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…

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A: cost of laying of the pipeline through water =$300/miles cost of laying of the pipeline over land…

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A: