The maximum value for the function f(x, y) = 2x + y – 2z subject to the constraint x2 + y? + z² = 9 is %3D A) 9 B) 12 C) 5 D) 8 E) 18

Q: Find maximum and minumum values of f(x, y, z) = 2x – 4y + 10z subject to the constraint x² + y² + z²…

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint a2 + y? +…

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

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

A: We have given the objective function as fx, y, z=x+3y+3z and constraint x2+y2+z2=4. Let…

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

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Q: Exercise 3 Use Lagrange multipliers to find the maximum and minimum of f (x, y,z)= e»= subject to…

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Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y² + z²…

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x2 + y? +…

A: Use Lagrange multipliers and solve for maximum and minimum.

Q: · f(x, y, z) = x² + y² + z² subject to the constraint 0 = x² - y² + 1

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x2 + y? +…

A: Option A is correct..

Q: Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject to…

A: GIVEN Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject…

Q: Find maximum and minumum values of f(x, y, z) = 9x – 18y +45z subject to the constraint x? + y² + z²…

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Q: 4. Use Lagrange multipliers to find the maximum and minimum values of the function subject to the…

A: To find the maximum and minimum values of the function f(x,y,z)=xyz subjected to the constraint…

Q: Find the extreme values of f(x, y, z) = x + 2y + 3z subject to the two constraints x + y + z = 1 and…

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Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x² + y? +…

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Q: Find maximum and minimum lues of f(x, y,z). 8X -16y+ 407 subject to %3D constraint x2+ y2+ 22 - 750

A: To find the maximum and minimum value of function

Q: 1. A In y= Ber? Ве

A: Solve the above questions.

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

A: Introduction: When we extremize a multi variable function under certain constraints, we follow the…

Q: 3. Solve the following LPP problem by using graphical method: Мaximize: Z 3D сх + dy Subject to the…

A: First plot the constraints and shade the bounded region AB is the line x+2y=40 AD is the line…

Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x² + y? +…

A: Use Lagrange multipliers and find maximum, minimum value.

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? + y? +…

A: The given function is; f(x,y,z) = 8x-16y+40z

Q: Find the extreme values of f subject to both constraints. f(x, y, z) = yz + xy; xy = 1, y2 + z2 = 1

A: To find the maximum and minimum value of the function f(x,y,z), subject to the the constraints and…

Q: Find maximum and minumum values of f(x, Y, z) = 2x – 4y + 10z subject to the constraint a? + y? + 22…

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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:

Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint x2 + y? +…

A: we use Lagrange multipliers method

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

A: We will be using Lagrange multipliers to find the maximum and minimum values of the given function…

Q: f (x, y, z) = 2x + 6y + 2z Subject to constraint 2x2 + 4y2 + z? = 70

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Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y² +…

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Q: Find maximum and minumum values of f(x, y, z) = 6x – 12y + 30z subject to the constraint x2 + y? +…

A: We will use the Lagrange's multiplier to to find the minimum and maximum of the solution when the…

Q: Find maximum and minumum values of f(x, y, z) = 9x – 18y + 45z subject to the constraint x2 + y? +…

A:

Q: Find the extreme values of f subject to both constraints. f(x, y, z) = yz+xy; xy= 1, y2+z2=1

A: Let the functions and . Thus, the function to be optimized is under the constraints : and . To…

Q: Find maximum and minumum values of f(x, y, z) = 2x – 4y + 10z subject to the constraint x? + y? + z2…

A: Z27272

Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint x? +y² + z²…

A:

Q: Find maximum and minumum values of f(æ, y, 2) = 5¤ – 10y + 25z subject to the constraint a? + y? +…

A:

Q: Find maximum and minumum values of f(x, Y, 2) = 3x – 6y + 15z subject to the constraint a? + y? + 2ª…

A: given, f(x,y,z)=3x-6y+15zsubject to constraint x2+y2+z2=1080

Q: Find the maximum off (x, y, z) = xyz subject to the constraint g(x, y, z) = 2x + y + 4z = l.

A: Let f(x,y,z) = xyz and g(x,y,z) = 2x + y + 4z - 1 The gradient vectors of f and g are given by: We…

Q: Minimize ƒ(x, y, z, w) = x2 + y2 + z2 + w2 subject to the constraints 2x - y + z - w - 1 = 0 and x +…

A: Use the Lagrange Multiplier technique with two constraints, to find the value of x,y,z,w at which…

Q: Minimize the function f(x, y, z) = x² + y² + z² subject to the constraint 6x + 12y + 12z = 54.…

A: We solve by the method of Lagrange  Multipliers

Q: Find the minimum and maxinum of f(x, y, 2) HỰ +2 subject to two constraints, z + 2y +z=8 and z- y =…

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Q: In Exercises 3 to 7, find the extrema of f subject to the stated constraints. A=x=y+z_ subject to x²…

A: Extrema

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

A: The given function f(x, y, z)=x+y+5zg(x, y, z) = x2+y2+z2-4 ∂f∂x=1∂f∂y=1∂f∂z=5

Q: Find the values of x and y that minimize 24x2+12xy+4y2+6x−4y+16 subject to the constraint…

A: given fx,y=24x2+12xy+4y2+6x-4y+16 subject to constraint  8x+2y+1=0 let ϕx,y=8x+2y+1 to find  value…

Q: Use the method of Lagrange multipliers to maximize the function subject to the given constraint.…

A: Given: The function is f(x,y,z)=xyz. Subject to constraint are 10x+10y+z=84, x≥0,y≥0 ,z≥0. The…

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

A:

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint a2 + y² +…

A: solution is given below

Q: Maximize f(x, y, z) = x + 2y + 3z under the constraint x? + y? + 2² = 14.

A:

Q: Minimize the function f(x, y, 2) = y given the constraint g(z, y, 2) - z² + y² +-1.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…