Use the method of Lagrange multipliers to find the maximum and minimum values of 2х + у on the ellipsoid 22 1, %3D a2 62 c2 where a, b and c are positive-valued constants.
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Q: (a) Use the method of Lagrange multipliers to find all candidates of the point(s) on the surface x2…
A: Lagrange multiplier.
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A: Let (x,y,z) be the point which is closest to the point (2,4,0) .
Q: Let T(x, y, z) = 100 + x2 + y2 represent the temperature at each point on the sphere x2 + y2 + z2 =…
A: solutionGivenT(x,y,z)=100+x2+y2x2+y2+z2=30plane x=2
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Q: 2. Let f: R? → R be the function which satisfies for all (x, y) € R² that f (x, y) = xy. Use the…
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Q: Let T(x, y, z) = 100 + x2 + y2 represent the temperature at each point on the sphere x2 + y2 + z2 =…
A: Given: Tx,y,z=100+x2+y2 represent the temperature at each point on the spherex2+y2+z2=40. To Find:…
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Q: Find the point on the plane 3x + 2y + z = 6 closest to the origin. Hint: Use Lagrange multipliers.
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Q: et T(x, y, z)= 100+ x² + y² represent the temperature at each point on the sphere x² + y² + z² = 80.…
A: Given: Tx,y,z=100+x2+y2sphere g= x2+y2+z2=80plane h =x-z=0
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Q: Surface Area top front width length area of front = h x w area of top = w x 1 area of bottom = w x 1…
A: Explanation of the answer is as follows
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Q: Obtain the Solution x, y > 0, xy > 1 of 1 the PDE Ury Such that x+y 2у и 3 0, их on the hyperbola…
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Q: Find the extreme values of z on the surface 2x² + 3y2 + z2 - 12xy + 4xz = 35.(DO NOT USE LAGRANGE…
A: For the solution follow the next steps.
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Q: Use Lagrange multipliers to find the maximum and minimum of f(r, y, z) = -r + 2y + 2z on the ellipse…
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Q: Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with…
A: Given, Plane x + 3y + 4z = 9
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- Use the method of Lagrange multiplier to find the largest and least values of h(x, y) = x2y on the ellipse x2 + 2y2=6.Use the theory of Lagrange multipliers to find the point (a,b) on the curve y = ex with theminimum value of abfind the maximum value that f(x, y, z) = x^2 + 2y - z^2 can have on the line of intersection of the planes 2x-y = 0 and y + z = 0 Can this problem be solved using lagrange multipliers?
- Use LaGrange multipliers to find the minimum distance between the origin and the plane x+2y+3z=28.Find the point on the plane 3x + 2y + z = 6 closest to the origin. (Hint: Use Lagrange multipliers.)(a) Use the method of Lagrange multipliers to find all candidates of the point(s) on the surface x2 + 9y2 + 9z2 + 18z + 9 = 18y that is closest to the origin. (b) Determine which candidate(s) you found in part (a) is/are actually closest to the origin.
- Use Lagrange's multiplier(s) to find the maximum and minimum for f(x, y, z) = x² + 2x + 2y2 + 3z2 on the unit sphere.Given U = 2xy, Px = 3, Py = 4, and I = 90 Use the Lagrange multiplier method to find the optimal levels of purchase of X, Y and U. Verify if the second condition for maximum is satisfied by using bordered Hessian.a) Consider the function f(x,y) = x^2 + y^2 +4x -4y. Use Lagrange multipliers to find the absolute minimum and maximum VALUES of f on the circle x^2 + y^2 =32. b) Then taking the above values into account, find the absolute minimum and maximum of the function f(x,y) = x^2 + y^2 +4x -4y on the disk x^2 +y^2 <= 32.
- use the lagrange multiplier to find extreme points of f(x,y,z) = 2x+z over the intersection of x+y=z = -3 and x^2 +y^2 = 18Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces. Sphere: x2 + y2 + z2 = 36, Plane: 2x + y − z = 2Consider the function f(x,y) = x^2 + y^2 subject to the constraint g(x, y) = x + y - 3 = 0. Use the Lagrange Multiplier method to find the minimum value of f(x, y) subject to the constraint g(x, y) = 0.