A pentagon is formed with an isosceles triangle and a rectangle, as illustrated in the figure. The pentagon has a fixed perimeter P. Using the Lagrange multipliers method, determine, as a function of P, the lengths of the sides of the pentagon that maximize the area of ​​the figure

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A: Let the width of the pen = x ft So length = (2500-2x)ft So area of the pen is: Answer(a):

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A: Let, two sides= x and another side= y So, 2x+y=12  y=12-2x

Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: As per the guidelines we are supposed to answer only first question and rest can be reposted..

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

A: Given that         f(x,y)=5x2+5y2  , xy=1 Here by using lagrange multipliers we have to find the…

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A: Use Lagrange multiplier to solve.

Q: 1. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

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Q: Define Lagrange multipliers.

A: Our Aim is to define Lagrange Multipliers.

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A: Lagrange multiplier :

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Q: Describe the method of Lagrange multipliers and give examples.

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Q: Define the term Lagrange multipliers?

A: we have to define the Lagrange multiplier.

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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: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

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Q: Maximize P=3x1+4x2−5x3, Subject to: 2x1−3x2+2x3 ≤4 x1+2x2+4x3 ≤8 x2−x3 ≤6 x1,x2,x3 ≥0   and give…

A: Given Maximize P= 3x1+4x2-5x3 Subject to: 2x1-3x2+2x3 ≤4 x1+2x2 +4x3 ≤8 x2-x3  ≤6 x1,x2 ,x3 ≥0

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