8. Find the maximum value of f(x, y) = 4xy, x>0, y> 0, subject to constraint (x²/3²)+(y²/4²) = 1 using the method of Lagrange multipliers.

Q: Find the points at which those extreme values occur. О (- 2)and (0, —- 2) О (2), (—2), (0, 2), and…

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Q: Find a function of two variables f(x,y) for which D = 0, but the function has a minimum. Exclude the…

A: consider the equation

Q: Consider the function f(x,y) = x^2 + y^2 subject to the constraint g(x, y) = x + y - 3 = 0. Use the…

A: Optimization with constraints often involves using the Lagrange Multiplier method.Suppose we have a…

Q: Use the Method of Lagrange Multipliers to find the minimum and maximum values of the function f (x,…

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Q: a. Solve max f(x,y,z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…

A: The Lagrange's multiplier method can be used to calculate the maximum or the minimum value of the…

Q: 5) Using Lagrange multipliers, find the maximum value of z =x + 2y subject to the constraint that x2…

A: For a function f(x) which is to be maximized subjected to the constrains g(x,y)=0, and taking λ as…

Q: Find the values of (Xx) that minimize the function f(x,y) = 8x²- xy + 12y² subject to the constraint…

A: (a)

Q: Apply the method of Lagrange multipliers to the function ƒ(x, y) = (x² + 1) y subject to the…

A:

Q: Use Lagrange multipliers to find any extrema of the function f(x,y)= xy subject to the constraint 1

A: Introduction: The Italian mathematician Joseph-Louis Lagrange is honored by having his multiplier…

Q: 2) An elastic tire is described by the iven by the function f(x, y) = 4xy. Use

A: Introduction: The Lagrange methodology is employed to maximize or minimize a general performance…

Q: 6. Find the extreme valucs of f(r,y) = ry subject to the constraint 4x2 + y? = 8 by using the method…

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Q: Solve using method of undetermined coefficients: y" + y' - 2y = x². %3D

A: Solution :-

Q: b-h(x, y, z)=x+2y,x+y+z=1 and y² + z² = 4, use Lagrange multipliers."

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Q: Find the point on the surface 4x+y-1=0 closest to the point (1,2,-3) using Larange Multipliers.

A: To determine the point on the surface 4x+y-1=0 closest to the point (1,2,-3) The distance from any…

Q: 7 Find the maximum value of the function f(x,y)=x+2y subject to the constraint x² + y² =3 using…

A: To solve the problem we use the method of Lagrange multiplier.

Q: Find the extreme values of g(x, y) = x² + y² + x²y on the circle x² + y² = 12 using the method of…

A: Given g(x, y) = x² + y² + x²y on the circle x² + y² = 12 using the method of Lagrange multipliers.

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: The function fexiy)o 2x+ Z² max value and absolute min value subject to the constraint x? + y3t22 =9…

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Q: Find the maximum of U.  Find the optimum using the the Lagrangian method: U=(x+3)(y+5) subject to…

A: Given, Ux,y=x+3y+5 with the constraint Vx,y=3x+2y-30.Using Lagrange mulitplier'sUx=λVxy+5=λ3y=3λ-5…

Q: 3. Find the Absolute Minimum and Absolute Maximum of f(x,y)=xy subject to 2x² +8y² =144 Fully…

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Q: use Lagrange multipliers to find the maximum and minimum values of f(x,y,z) = 4y −2z subject to the…

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