The minimum value of the function f(r, y) = a +y - 4 subject to the constraint a +y" = 2 is, -2. Select one: O True O False

Q: Find the minimum and maximum values of the function subject to the given constraint f(x, y) = 12x² +…

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Q: Find the minimum and maximum of f(x, y, z) = x² + y² + z² subject to two constraints, x + 2y + z = 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: Use Lagrange multipliers and solve for maximum and minimum.

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: Determine the maximum value of f (x, y) 2.x! 2x1/4,3/4 subject to the constraint g(x, y) = x+ 3y – 4…

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

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Q: Maximize the function ƒ(x, y, z) = x2 + 2y - z2 subject to the constraints 2x - y = 0 and y + z = 0.

A: Given:  The function is  f(x,y,z)=x2+2y-z2And subject to the constraints  2x-y=0 and y+z=0

Q: value

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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) = 8x – 16y + 40z subject to the constraint æ? + y? +…

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Q: , Find the minimum value of the function f(T, Y, z) = x² +y +z subject to the constraints a +…

A: To find the minimum value of the below function subject to constraints x + 4y + 6z = 2 and x + 7y +…

Q: Find the maximum value of f(1, y, z) = ry + Iz+ yz – 4ryz | subject to the constraints z+y+z=8 and…

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Q: 1. A In y= Ber? Ве

A: Solve the above questions.

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: The minimum value of f(x,y) = x^2y + 3y^2 - y subject to the constraint x^2 + y^2 = 10 is.........?

A: We need to find the minimum value of f(x,y) = x2y + 3y2 - y subject to the constraint x2 + y2 = 10.…

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 value of z=3x+9y subject to the constraints x+3y≤10 ; 3x+y≥10; y≤x ; x≥0; y≥0 using…

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

A:

Q: Find the extrema of f subject to the stated constraint. f(x, y) = x, subject to x2 + 2y2 = 1…

A: Given:

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: Minimize ƒ(x, y, z) = xyz subject to the constraints x2 + y2 - 1 = 0 and x - z = 0

A: y = √(1 - x2); z = x Hence we have to minimize, f = x2√(1 - x2)

Q: Find the minimum value of the function f(x,y,z)=x^4+y^4+z^4 subject to the constraint x^2+y^2+z^2=1.…

A: Lagrange's multipliers are used to find the minima here Steps: solve the equation to get the…

Q: Find the extreme values of the function subject to the given constraint. f(x, y, z) = (x - 1)2 +…

A: As per company guidelines we are allowed to solve one equation at a time so i am solving first one…

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…

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Q: Find the maximum value of Z = 2x + 3y +y< 30, y 2 3, 0<ys 12, x – y 2 0, and 0<x < 20. subiect to…

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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 minimum value of f(x,y)=48x²+30y2 subject to the constraint x2+y2=361 %3D

A: Given that fx,y=48x2+30y2 Let, gx,y=x2+y2 Then, fx=96xfy=60ygx=2xgy=2y

Q: The maximum value M and the minimum value m of f(x,y)=x³-2y² subject to the constraint x3+y3=125 are…

A: Apply the Lagrange's multiplier method, ∂f∂x=λ∂g∂x⇒3x2=λ(3x2)⇒3x2(λ-1)=0⇒x=0 ; λ=1Also,…

Q: 1. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + z² = 6.

A: f(x,y,z)=x+y-z   x2+y2+z2=6 Rewrite it as: x2+y2+z2-6=0 L(x,y,z,λ)=(x+y−z)+λ(x2+y2+z2−6) Find all…

Q: Find the maximum of the following function: h(x, y)  =  ln(x10 y6) given the constraints: 5x2 +…

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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: Find the extreme values of the function f(x,y) subject to the given constraint.  f(x, y) = 4x + 6y,…

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Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint a2 +y² + z²…

A:

Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint 2 + y² + z²…

A:

Q: Find the maximum of V = xyz subject to the constraint 6x+4y+3z-24=0

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

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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: Find the maximum value of the function f(r, y) = x²y subject to the constraint z² +y= 5. %3D

A: We will find maximum value by using Lagrange multipliers.

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

A: We need to find maximum and minimum values of f(x,y,z)=3x-6y+15z subject to the constraint…

Q: Find maximum and minumum values of f(x, Y, z) = 8x – 16y+ 40z subject to the constraint z? + y? + z²…

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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…

Q: Find maximum and minumum values of f(#, y, 2) = 2s – 4y + 10z subject to the constraint 2 + 3? + z2…

A: Use Lagrange multipliers and than calculate the minimum and maximum Values.

Q: For a redundant system with n independent identical components with constant failure rate 2, show…

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

A:

Q: Find the maximum and minimum values of f(x, y, z) = x + y + z subject to the constraints x2 -y2 = z,…

A: The surface is given by f(x, y, z) = x + y + z. The constraints are x2 -y2 = z, x2 + z2 =4. Consider…