1. Use agrange multipliers to find the extreme values of f(x,y)=2x²+ y on the circle x² + y² =1.

Q: I. Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + 2 subject to r?…

A: ,

Q: Let f (x, y) = – (3 x). Use the method of Lagrange multipliers to find the maximum and minimum…

A: Given function fx,y=−3x We have to find the maximum and minimum points of fx,y on the curve defined…

Q: Given the LP Model Minimize: z = x - y subject to: 4x – 3y 20 - 3x – 4y < 0 X, y 2 0

A: We will obtain the solution of the LP model using simplex method (Big M) Our Problem is  : MIN Z = x…

Q: Use Lagrange multipliers to find the minimum and maximum values of f(x, y) = 3x - 2y on the circle…

A:

Q: Find the max and mins of the following function using Lagrange multipliers f(x, y) = x° + y° subject…

A: Given: fx,y=x3+y3gx,y=x2+2y2-36 Find partial derivative of f and g with respect to x and y, fx=3x2,…

Q: Find the max and mins of the following function using Lagrange multipliers f(r, y) = 2x + 6y subject…

A: Given: f(x,y)=2x+6y consider  g(x)=x2+y2-40

Q: 5. Use the Lagrange multiplier method to find the values of x and y that minimise the function /2x2…

A:

Q: Use the method of Lagrange multipliers to find the maximum of the func- tion f(x, y) = x² + xy+y² on…

A: Find the maximum of the function fx,y=x2+xy+y2 on the unit circle x2+y2=1 using the method of…

Q: (10) Use the method of Lagrange Multipliers to find the maximum and minimum values of f(x, y,z) = x…

A:

Q: 4. Use Lagrange multiplier to find the maximum value of the function f(x, y) xy subject to…

A:

Q: Solve the following constrained optimization problem using the method of Lagrange multipliers: 1 min…

A:

Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y + z,…

A:

Q: 3. Use the method of Lagrange multipliers to find the minimum distance between the paraboloid z = x²…

A: (3)Let (x,y,z) lies on parabolaThe distance d=x-32+y2+z2such that z=x2+4y2Lagrabge multiplier…

Q: 12. Use Lagrange multipliers to minimize the function (x. y, z) =x¯+y¯+z" subject to the following…

A:

Q: ibe the Method of Fagrange multipliers to find the extreme value of FCx,4) = xy? suyjet to the…

A:

Q: Suppose the Earth is modelled by the unit sphere ²+y²+z² = 1 and the temperature at a given time is…

A: Given problem:Max: Tx,y,z=45x2+22y2-25z2subject to x2+y+z2=1 →  1Now   gx,y,z=x2+y2+z2-1=0Now…

Q: Use Lagrange multipliers to find the minimum and maximum values of f (x, y) = 3x − 2y on the circle…

A: fx,y=3x−2yCircle: x2+y2=4                   x2=4−y2                    x=4−y2Substitute the value of…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: Given, the function max f(x, y) = 2x + 2xy + y, and the constraint 2x + y = 100. We have to find the…

Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what…

A:

Q: Use Lagrange multipliers to find the shortest distance from the given point to the following plane.…

A:

Q: 6) Use Lagrange multiplier method to find the extrema of f(x1, Xz. -. , In) = x, + x2 + +x, subject…

A: Given, f(x1,x2,....xn)=x1+x2+x3+.....xn,  constraint x12+x22+x32+....+xn2=1 now equation we need to…

Q: By using the Lagrange multiplier, find the three positive number, x, y, and z whose sum is h and…

A: Here, you have to maximize the function x4y8z7, subject to the condition that x+y+z=h⋯⋯1. In order…

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

A: Lagrange multiplier method: f(x,y)=(x2+1)y Subject to the constraint g(x,y)=x2+y2-5

Q: I Use Lagraine auitipliers to find the wrikrinvam ond minimum values of fa,4) = 3x² - 54 subject to…

A:

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

A:

Q: Assume that x and y are positive, use Lagrange multipliers to find the minimum of f(x, y) =x² + y² ,…

A:

Q: Use Lagrange multipliers to find the shortest distance from the given point to the following plane.…

A:

Q: 2. Use Lagrange multipliers to maximize f(, y) = x + 3ry + 4y subject to the constraint 2x + y = 1.

A: We use Lagrange multipliers method

Q: 5. Use Lagrange Multipliers to find the maximum and minimum values of the function f(x, y) = 3x – 4y…

A:

Q: If we use the Lagrange multipliers method, for the function f(a, y)--+2 subject to the constraint z…

A:

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

A: fx,y=x2+1yand Let gx,y=x2+y2=5 Then,  fx=2xy fy=x2+1 gx=2x gy=2y Thus,  fx=λgx…

Q: Use the method of Lagrange multipliers to find the absolute maximum and minimum values of f(x, y) =…

A: Given the function

Q: Find the max and mins of the following function using Lagrange multipliers f(r, y) = x³ + y subject…

A: For this problem, fx=x3+y3 and g(x,y)=x2+2y2=36. Find the max and mins of the function using…

Q: Use the method of Lagrange multipliers to find the point(s) on the curve (y + 2)² – (x – 1)² = 4…

A:

Q: 1)Use Lagrange multipliers to find the extreme values of the function f: R? → R, f(1,y) = 1² – y²…

A:

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

A:

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

A:

Q: 8. (a) Use the Lagrange multiplier method to find the minimum value of among all positive x, y…

A: we need to use langrange multiplier method

Q: 9. Use the Method of Lagrange Multipliers to find the maximum and minimum values of the function…

A:

Q: Use Lagrange multipliers to find the extreme values of f(x, y) = x + 3y2 + 2y on the unit circle x2+…

A: Given is the function f(x,y)=x2+3y2+2y with the condition x2+y2=1 Need to find the maximum and the…

Q: 2) Use Lagrange multipliers to find all extreme values of f (x, y,z)= 2x+2y+z subject to x + y² +z²…

A:

Q: Use the method of Lagrange multipliers to find the minimum value of f (x, y) = x² + 4y² + 2x + 5

A: Consider the given equation  fx=x2+4y2+2x+5 and gx=y2+2x-10 Now, By Lagrange multipliers, fx=λ…

Q: Find x = that minimizes q(x) = x² – xy + y² subject to %3D the condition ||x|| = 1 , %3D

A:

Q: For functions f(x,y,z) = 5xyz and g(x,y,z) = x2 + 3y? + 4z2 – 7. write the Lagrange multiplier…

A:

Q: 8. Use Lagrange multipliers to determine the absolute maximum and the absolute minimum of f(x, y) =…

A:

Q: 7. Use the method of Lagrange multipliers to find a relative minimum of f(x, y, z) = x2 + 4y? + 16z²…

A:

Q: 3. Use the method of Lagrange multipliers to find the minimum distance between the paraboloid 2= z +…

A:

Q: B) Use Lagrange multipliers to find the dimensions of the closed circular cylinder of smallest…

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

A:

Q: The maximum value of f(x,y) = x +y subject to xy = 16 (using method of Lagrange multipliers) is 16

A: Given function is f(x,y)=x+y  Constraint: xy=16