6] [3M] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose perimeter 12 cm.

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Q: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

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Q: 1.A box with a square base and open top should have a volume of 50cm3. Using Lagrange multipliers…

A: Given a box with square base and open top should have a volume of 50 cm3. Let l, b, h denotes the…

Q: Use the method of Lagrange multipliers to find the dimensions of a rectangle with perimeter p and…

A: It is given that the perimeter is p and it has maximum area. Let the dimensions of the rectangle be…

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A: We are asked to find dimensions of the rectangle.

Q: Q2. Use the Method of Lagrange Multipliers to find the dimensions of the closed right circular…

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Q: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

A: Using Lagrange multiplier to find the dimension of rectangle whose area is maximum

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A: Let the length of poster ABCD =x cmBreadth of poster =y cmTop margin=2.5cmBottom margin=1.5cmBoth…

Q: a. A rectangular pen is built with one side against a bam. If 1100 m of fencing are used for the…

A: x=width  y=length  perimeter is given by p=2x+y here we have p=1100 1100=2x+y y=1100-2x . the area…

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A: Topic = Derivative

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A: To maximize the area , we use Lagrange multipliers.

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Q: A farmer needs to enclose a field with a fence. He has 500 ft of fencing materials and a building on…

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Q: A piece of cardboard measuring 9 inches by 8 inches is formed into an open-top box by cutting…

A: Here I am attaching image so that you understand each and every step.

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A: answer is in next step

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Q: 6] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

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Q: What should the dimensions of the box be in order to minimize the surface area?

A: Let,Breadth of the box = b = xLength of the box = l = 2b = 2x        (according to question)Height…

Q: Define the term Lagrange multipliers?

A: we have to define the Lagrange multiplier.

Q: 6. Eva wants to fence two rectangular plots of land. Both plots must have the same dimensions and…

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Q: Please solve and explain q#4.

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Q: An open top box is to be made from 48 m of wood with dimensions x, y and z as shown in figure. Using…

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Q: 8a. A rectangle is bounded by the x-axis and the semicircle y = \4 – x². What length and width…

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