6. Use Lagrange multipliers to find the minimum and maximum values of f(x, y, z) = 2x + 2y + z under the constraint g(r,y, z) = x² + y²+ z² = 9

Q: Find the maximum values of f(x,y) = 81x² + y² subject to the constraint 4x? +y² = 1 (Use the…

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Q: Find the minimum of f(x, y, z)= x² + y² + z² subject to the two constraints x + y + z = 1 and 4x +…

A: Below is the procedure for lagranges multipliers method.

Q: Use the method of Lagrange multipliers to find the minimum value of the function f(x, y, z) = x + y…

A: We have to find extreme values by langrages multipliers method.

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y, z) = 5x + y + 3z, subject…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x² + 3y² subject to…

A: Using Lagrange multipliers we have to find the maximum and minimum values of f(x,y)=2x2 + 3y2…

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

A: Given f(x, y)=x2 +y2-x-y+3 and D={(x, y) |x2+y2<=1} Let g(x, y) =x2 +y2 -1 Now, fx=2x-1 and…

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

A: Given    and              First construct the Lagrange function as follows:…

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

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y, z) = 3x + 4y + z, subject…

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Q: Find the minimum and maximum values of the function f(x, y, z)= 3x +2y + 4z subject to the…

A: Maxima is the maximum point of the function and minima is the minimum point of the function.…

Q: Use Lagrange multipliers to find the maximum or minimum f(x, y, z) = 2x + 2y + 6z; x² + y2 + z2 = 11…

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Q: 6) Use Lagrange multiplier method to find the extrema of f(x1, Xz. -. , In) = x, + x2 + +x, subject…

A: Given, f(x1,x2,....xn)=x1+x2+x3+.....xn,  constraint x12+x22+x32+....+xn2=1 now equation we need to…

Q: Based on Lagrange Multipliers, find the maximum and minimum values of f(x, y, z) = 3x² + y subject…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

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

A: Given that fx,y,z=xyz with the sphere x2+y2+z2=3. Let take gx,y,z=x2+y2+z2-3 The to find the…

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

A: The given function  subject to the constraints .To find the maximum and minimum values of the…

Q: csc²a = acote

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Q: Find the maximum and minimum of the function f(x,y) : 1 subject to the x² + 2y² constraint x* +2x²y²…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = (x + 5)² + (y – 5)²…

A: Given: fx,y=x+52+y-52  & x2+y2≤32 From the Lagrange's multiplier, ∂f∂x=λ ∂g∂x ; ∂f∂y=λ ∂g∂y So,…

Q: . Use the method of Lagrange multipliers to show that for x, y > 0, we have a" +y" > (팔1)" 2

A: We will first try to minimise (xn + yn)/2 using Lagrange multipliers then show that its minimum…

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x,y) = x² + y?; subject to x? –…

A: Given, f(x,y)=x2+y2; subject to x2+y2-2x-4y=0. We have to find the maximum and minimum value of the…

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y, z) = x + 2y + 5z, subject…

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