What function should be used to maximize the volume of an open box whose surface area is equal to 20 where the box has a square bottom?

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to…

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Q: A packaging company is going to make open-topped boxes out of 20 cm by 20 cm rectangles of cardboard…

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Q: A rectangular piece of cardboard is 16 inches by 10 inches. Squares are going to be cut out of the…

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Q: Find two numbers such that their difference is 5 and their product is minimum.

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Q: What value of x maximizes the volume of an open box with a square bottom, where the surface area of…

A: The Volume of an open box with a square bottom x length and h height is given by V = x2h…

Q: Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Suppose numbers are x and y then  xy=100    ....(1)

Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 9 inches.

Q: A manufacture wants to design an open box having a square base and a surface area of 256 square…

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Q: Find two real numbers whose difference is 40 and whose product is a minimum.

A: Let the two real numbers be x & y. Since the difference is 40, therefore x-y=40⇒y=x-40   →1 Now…

Q: By cutting away identical square from each corner of a rectangular piece of cardboard and folding up…

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Q: An open box is to be made from a 15 ft by 40 ft rectangular piece of sheet metal by cutting out…

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Q: A company sells chocolate in rectangular boxes whose volume is 120cm^3. For display purposes, the…

A: Given that the volume of rectangular boxes is 120cm . Then length of the box is three times the…

Q: An open-top box with a square base is to be constructed by taking a 42 by 42 square piece of…

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Q: A cylindrical cardboard oatmeal container is to be made to contain 4000 cm. Describe the total…

A: Volume of cylindrical cardboard is πr2h Where r is the radius and h is the height. It is given that,…

Q: An оpen box is to be made from a 6 ft by 16 ft rectangular cardboard by cutting out equal squares…

A: We can find the maximum volume of the box as below

Q: An open-top box is to be made from a 36 in. by 27 in. piece of cardboard by removing a square from…

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Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

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Q: A piece of cardboard measuring 14 inches by 12 inches is formed into an open-top box by cutting…

A: Please rate my answer, thanks

Q: An open-top bin is to be made from a 15-centimeter by a 40-centimeter piece of plastic by removing a…

A: Assume that side of square which should be cut from each corner is a.Given the dimension of piece of…

Q: An open box is to be made of a piece of cardboard 10cm x 16cm by cutting equal squares out of the…

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Q: Given a closed box with surface area = 16 and a square bottom, what value of x will maximize the…

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Q: A vectangular plate is boundeel by x and y axes and the lines x=6 y=4, The thickness 2 is given by…

A: Volume=length × width × thickness

Q: A piece of cardboard measuring 8 inches by 10 inches is formed into an open-top box by cutting…

A:

Q: A piece of rectangular sheet metal is 10 inches wide. It is to be made into a rain gutter by turning…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangular cross-section…

Q: The maximum volume of a box with a square base is taller than it is wide. In order to send the box…

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Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The…

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Q: An open box is constructed by cutting square corners with side x cm from a 150-cm by 100-cm sheet of…

A: According to the problem, we have

Q: An open box is to be made from a 3-ft by an 8-ft rectangular piece of sheet metal by cutting out…

A: An open box is to be made from a 3-ft by an 8-ft rectangular piece of sheet metal by cutting out…

Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A:

Q: A box with a square base and open top must have a volume of 512 cubic inches. Find the dimensions of…

A: The solution is given below:

Q: Johnny is designing a rectangular poster to contain 12 inches squared of printing with a 3 inch…

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Q: A page printed must contain 60sq. cm. of printed material. There are to be margins of 5cm. on either…

A: Let us consider the length be l cm and width be b cm of a rectangle Thus, the area of the rectangle…

Q: A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 14 in.…

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Q: from a piece of cardboard that is 24 cm by 48 cm ,cut equal squares out of the corners . fold up the…

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Q: A box with an open top is to be constructed from a square piece of cardboard that is 4 feet wide by…

A: Square piece of cardboard of 4 feet wide. Let x feet be cut off from each corner of the square piece…

Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

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Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A:

Q: An open box has a surface area of 20 where the box has a square base. What function should be used…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to…

A: Suppose A be the area of the rectangular rain gutter  A=length × width=20-2x x…

Q: The revenue function for a sound system is R(x) = 400x – x2 dollars %3D where x denotes the number…

A: R(x)=400x-x2 To find the marginal revenue we take derivative R'(x)=400-2x Expression for the…

Q: A rancher has 240 ft of fencing with which to build a rectangular corral alongside an existing…

A: We know, in rectangle, pair of opposite sides are equal.In rectangular corral, let length of equal…

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

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Q: The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

A: We have to find the maximum area of given rectangle.

Q: The management of Thermomaster Company, has estimated that the total weekly cost (in dollars) for…

A: Given that,  C(x)=8000+5x Average Cost function is,               C=C(x)x

Q: With only 600 m2 of materials, a closed cylindrical tank is to be made. What should be the height of…

A: Let's find.

Q: What function should be used to maximize the volume of an open box that has a surface area of 24 and…

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Q: A rectangular box with no top is to be constructed having a 125 cubic inches. What width r, in 2…

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Q: What function should be used to maximize the volume of a closed box whose surface area is equal to…

A: From the given figure, the volume of box is V=x2 h. Given that the surface area of the box is 16.…

Q: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…