Use Lagrange multipliers to find three positive numbers whose sum is 18 and the sum of whose squares is as small as possible.

Q: Use Lagrange Multipliers to find extreme values of the function f(x, y) 2xy subject to the…

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 24 and such that the sum of…

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Q: Use lagrange multiplier to find dimensions (X, y) of rectangular with maximum area and having a…

A: Given:  Circumference of rectangle is 144 Let X, Y denotes the length and breadth of a rectangle…

Q: Find two positive integers such that their sum is 10 and maximize and minimize the sum of their…

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Q: Use Lagrange multipliers to find the point (a,b) on the graph of y = e4x, where the value ab is as…

A: Let the objective function fx,y=xyand the constraint function…

Q: Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $112…

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Q: Use Lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: To find- Use Lagrange multipliers to find three positive numbers whose sum is 51 and the sum of…

Q: Use lagrange multipliers to find the maximum and minimum values of f(x,y) = x^2 * y^3       subject…

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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: Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q =…

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Q: Use Lagrange multipliers to find the maximum and minimum values constraint. (If an answer does not…

A: Given,             f(x, y, z)=xyz,  and  x2+2y2+3z2=24

Q: Use Lagrange multipliers to find three positive numbers whose sum is 30 and the sum of whose squares…

A: We have find three numbers whose sum is 30 and whose squares is as small as possible, by lagrange…

Q: Use the Method of Lagrange Multipliers to find the largest product that the positive numbers x, y,…

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Q: Use the method of Lagrange multipliers to find three positive real numbers, x, y, and z whose…

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Q: Q5. Use Lagrange Multiplier to find the minimum distance between the origin and the line (x=51 +3, y…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Use Lagrange Multipliers to find the maximum and minimum values of f(x,y)=x+y subject to the…

A: To use the Lagrange Multiplier method to find the maximum and minimum value of the below function…

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…

Q: Use Lagrange multipliers to find the minimum and maximum values of f (x, y) = 3x − 2y on the circle…

A: fx,y=3x−2yCircle: x2+y2=4                   x2=4−y2                    x=4−y2Substitute the value of…

Q: Use the method of Lagrange Multipliers to find the maximum and minimumvaluesof x2+y2 subject to the…

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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

Q: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

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Q: Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square.

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

Q: By using the Lagrange multiplier, find the three positive number, x, y, and z whose sum is h and…

A: Here, you have to maximize the function x4y8z7, subject to the condition that x+y+z=h⋯⋯1. In order…

Q: Find positive numbers x and y such that x + y = 48 and 5x2y + 10 is maximized.

A: Given that, x + y= 48 y = 48 - x ................... (1) The function is: f(x, y) = 5x2 y+ 10 f(x) =…

Q: 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Let's find.

Q: 1. Without using Lagrange Multipliers, find three positive numbers whose sum is 100 and whose…

A: let the numbers be "x" and "y" Given the sum of numbers is 100  then  x+y=100                  Then…

Q: Using Lagrange multipliers, find three positive numbers whose sum is 9 and such that the sum of…

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Q: Use Lagrange multipliers to find the dimensions of a rectangular box with largest volume if the…

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Q: Use the method of Langrange Multipliers to find the maximum value of f(x, y) = 4xy subject to 2x − y…

A: Explanation of the answer is as follows

Q: Use Lagrange multipliers to find the point on the surface 3x+y−3=0 closest to the point…

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Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Маximize…

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Q: The maximum value of f(x, y) subject to the constraint g(x, y) = 280 is 5500. The method of Lagrange…

A: Consider the given information:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Given: To Find: Finding Maximum using Lagrange Multipliers, assuming x and y are positive.…

Q: Use Lagrange multipliers to find the extreme values of f(x, y) = x² – y² subject to the constraint…

A: Given the function fx,y=x2-y2 and x2+y2=1. Let gx,y=x2+y2-1. Find the extreme values of f subsject…

Q: Use Lagrange multipliers to find the extreme values of F(x,y)=x^2-y^2  subject to the constraint…

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Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8

A: max U=x+y+z subject to xyz=8

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

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Q: A farmer has 200ft of fencing and wants to build three adjacent rectangular corrals. determine the…

A: A farmer has 200ft of fencing and wants to build three adjacent rectangular corrals. We have to find…

Q: Use the method of Lagrange multipliers to find the minimum value of f (x, y) = x² + 4y² + 2x + 5

A: Consider the given equation  fx=x2+4y2+2x+5 and gx=y2+2x-10 Now, By Lagrange multipliers, fx=λ…

Q: se Lagrange multipliers to find the point on the line Y2x+3hat is dosest to the point (4. 2

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Q: Use the method of Lagrange multipliers to find the maximum and minimum values of f(x, y) = 5xy…

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Q: Use langrage multiplier to maximize f(x,y)=25- x2 -y2 subject to 2x+y=10

A: We have f(x,y) = 25 -x2 -y2 subject to 2x + y =10

Q: Use the simplex method to find x, 20 and x, 20 such that X1 + 4x2 2 26 X1 + X2 546 and such that z =…

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = xy subject…

A: Given  objective function f(x,y)= xy  constraint  g(x,y)= 9x2+y2-4

Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: Find the closest and most distant points to the origin on the curve x^2+xy+y^2=1.   Use lagrange…

A: Given that the curve is x2+xy+y2=1. It is required to find the closest and most distant points to…

Q: Constraint:

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