Find the absolute maximum and minimum values of f(x, y) = 2x2 + 3y2- 4x +5 subject to the constraint x² + y? = 9.

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x2 + y² +…

A: The explanation of answer as follows :-

Q: Find the maximum possible value of f = 100x +100y and the values of x and y that give that…

A: GIVEN f = 100x +100y we need to find the maximum possible value of f,

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: 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

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Q: Find all absolute extrema of f (x, y) = x² + y² – 25 subject to the constraint 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

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

Q: Find the maximum and minimum values of x2 + y2 subject to the constraint x2 - 2x + y2 - 4y = 0.

A: Given

Q: Minimize the function ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints x + 2y + 3z = 6 and x +…

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Q: Find the extreme values of the function f(x,y,z) = x4 + y4 + z4, subject to the constraint x2 + y2 +…

A: Given,  f(x,y,z) = x4+ y4 + z4,  Subject to the constraints  g(x,y,z)= x2 + y2 + z2 =1. Now we find…

Q: The maximum value of the function U(x, y, z) = 5 ln a + 8 ln y +17 In z, subject to the constraint…

A: We have to solve the maximum value of U(x,y,z).

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

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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: Find the absolute maximum and minimum of the function f(x,y,z) = x + z subject to the constraint x2…

A: Let gx,y,z=x2+y2+z2 Then gradient vectors of  f and g are…

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 the maximum and minimum values of the function f(x, y, z)= 3x - y - 3z subject to the…

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Q: Find the maximum possible value of f = 400x +300y and the values of x and y that give that…

A: The given LPP: maximize  f=400x+300ysubject to,3x+2y≥62x+y≤7x, y ≥0 Sketch this region and locate…

Q: What is the minimum value of f(x, y) =x +4y -2x+8y subject to the constraint X+2y=7

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Q: 1. Find the maximum value of the function P(x,y) = 3x + 2y subject to the constraints x + 2y 0, and…

A: The function, Px,y=3x+2y subject to constraints x+2y≤4, x-y≤1, x≥0, and y≥0.

Q: Find the relative maximum value of ​f(x,y)=3xy​, subject to the constraint x+y=4 Find the relative…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Calculate the maximum and minimum values of x^2+y^2 subject to the constraint x^2−2x+y^2−4y=0

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Q: Find the maximum and minimum of f(x, y) = xy subject to the constraint 4x + y = 72

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

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Q: Find the maximum and minimum values of z=6x+3y subject to the constraints 2x+2y is greater than or…

A: From the given statement,

Q: Find the minimum value of f(x,y,z) = x 2 + y 2 + z2 subject to two constraints, x + 2y + z = 3 and x…

A: fx,y,z=x2+y2+z2 Lets solve using substitution method- x-y=4⇒x=4+y…

Q: Find the minimum value of h(x, y) = (x − 2)2 + 2xy − (y + 4)2 constraint y=x. subject to the

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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 the maximum and minimum values of f (x, y) = xy subject to the constraint 4x + y = 8.

A: We have to find the maximum and minimum values of  the function.

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 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: Calculate the minimum value of f (x,y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z =…

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Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

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Q: Find the maximum and minimum values of the function z = 2x – y subject to the constraints x + y 0 y…

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Q: 3. Find the maximum value of f(x, y)= 2xy subject to constraint 2x+y=12 using Lagrange Multiplier.

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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…

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Q: The maximum value for the function f (x, y) = 2x + y – 2z bject to the constraint x2 + y? + z² = 9…

A: Here we have, f(x,y)=2x+y-2z ................................... (1) Subject to constraint…

Q: The function f(x.y.z) = 2x +z has an absolute maximum value and absolute minimum value subject to…

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Q: Find the minimum value of the function f(x, y) = x²y* subject to the constraint x2 + y2 = 12.

A: Minimum value of the function

Q: Find the maximum and minimum values of f(x, y) = 4x2 + y2 subject to the constraint x2 + 4y2 = 16.

A: The given constraint equation is: x2+4y2=16     ...(1) Consider g(x,y)=x2+4y2-16 And the function…

Q: Find the minimum of the function f(x, y) = 2x² + 2y² subject to the constraint z + y – 1= 0. Value…

A: Here we have to solve the above problem by using Lagranges's multiplier and then differentiate and…

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…