Let M and m be the maximum and minumum values of the function f(x,y)=8x2−2y subject to the constraint x2+y2=1. Find M/m, keeping your answer to 3 significant digits

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

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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..

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Q: The given function subject to the constraint 38−x−3y−z=0 has a minimum at x=___________,…

A: Let fx,y,z=x2+y2+z2-2x-2y-2z+3gx,y,z=x+3y+z=38∇fx,y,z=λ∇gx,y,zfx,fy,fz=λgx,gy,gzcompute partial…

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

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

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

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Q: Find the values of x, y that maximize 5 - 2x2-2xy-y2 +x+4y 7 subject to the constraint x+y- =0

A: let f=-2x2-2xy-52y2+x+4y x+y-72=0y=72-x substitute y value in f…

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? +y² + z²…

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Q: f(x,y,z)

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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

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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(x, y, z) = 3x – 6y + 15z subject to the constraint x? + y² + z²…

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

A: We will use Lagrange's multiplier method to find max min

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…

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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…

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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…

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

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

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Q: onsider the function f(x, y) = x^2+ y^2 + 2x − 2y + 1, subject to the constraint x^2 + y^2 = 2. (a)…

A: Given function: fx,y=x2+y2+2x−2y+1 To use the Lagrange Multiplier method to determine the extreme…

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Q: Minimize f(x,y,z) = 3x2+4y2+6z2 subject to the constraint 3x+7y+8z=20. a.) When the minimum…

A: Given that , fx,y,z=3x2+4y2+6z2 and gx,y,z=3x+7y+8z-20 According to our guidelines , We can answer…

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.