Use Lagrange multipliers to find the shortest distance from the given point to the following plane. (6, 5, -5); x + y -z= 1

Q: Use Lagrange multipliers to find the point on the plane x-y+z=7 closest to the point (4,5,1).

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

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Q: Find the maximum values of f(x,y) = 81x² + y² subject to the constraint 4x? +y² = 1 (Use the…

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Q: Use Lagrange multipliers to find the point (a,b) on the graph of y = e4x, where the value ab is as…

A: Let the objective function fx,y=xyand the constraint function…

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

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Q: Use the Least-Square method to find a line in the form of a= do – d · I that best fits the following…

A: I try to solve by different method. This one is simple method.

Q: 10. Use Lagrange multiplier to find the point(s) on the circle x² +(y-1)´ = 9 closest to the point…

A: Given circle isx2+y-12=9  and point is (4,4) solve it by using Lagrange multiplier find the closest…

Q: Q5. Use Lagrange Multiplier to find the minimum distance between the origin and the line (x=51 +3, y…

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

A: The function is f(x, y)=2x+2y x2+y2=2 Let g(x, y)=x2+y2-2 Differentiate f(x, y) with respect to x…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given problem:- Use Lagrange multipliers to find the maximum and minimum values off subject to the…

Q: Let A and Abe the maximum and minimum values, respectively of the function f (x, y) = 4x +y? subject…

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Q: Use the method of lagrange multipliers to find the maximum and minimum values of the function f(x,…

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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 minimum distance from the curve or surface to the indicated…

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = ed", where the value ab is as…

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

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Q: Use the method of Lagrange multipliers to find the shortest distance from the point (-2, –3, 1) to…

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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

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Q: the surface 2x+y−1=0 closest to the point (−2,−3,−8).

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Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e3, where the value ab is as…

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

A: We will be using Lagrange multipliers to find the maximum and minimum values of the given function…

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

A: Solution

Q: the surface 2x+y−1=0 closest to the point (2,7,−5).

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Q: Use the method of Langrange Multipliers to find the maximum value of f(x, y) = 4xy subject to 2x − y…

A: Explanation of the answer is as follows

Q: Use Lagrange multipliers to find the point on the surface 3x+y−3=0 closest to the point…

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Q: . . ... . .. Use Lagrange multipliers to find the maximum and minimum values of f subject to the…

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Q: Q Use Lagrange multipliers to tind the maximum an Ċ minimnm valnes and Points (x ) at which they…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x – 3y subject to the…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Consider the sphere S given by the equation 2x² + 2y² + 2z² = 3x + 3y Use Lagrange multipliers to…

A: Solution: From P(1, 2, 2), the closest point is (0.8618, 1.309, 0.8944), and the farthest point is…

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: Use Lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point…

A: First note that ,          if (x,y,z) be any point on tha plane x-2y + 3z = 6 then distance between…

Q: 7. Use Lagrange multipliers to find the maximum and minimum values of f(r, y) = 4x – 8y subject to…

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Q: Fixsy)ニメーーツ coustalaト: xty?こ4

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Q: Use Lagrange multipliers to find the point (a,b) on the graph of y = e^(5x) where the value ab is as…

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Q: Use Lagrange multipliers to find all points on the cone z2 = x² + y² that are closest to the point…

A: The solution has been given below.

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of f(x, y) = 5xy…

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Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ subject to the given…

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Q: to find the maximum and minimum values

A: Given: The function f(x, y, z)=x2+y2+z2 and constraint as x4+y4+z4=11 To find: Use Lagrange…

Q: 2 = 2x2+y that are Use Lagrange Multipliers to find the points on the cone closest to the point (-6,…

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Q: Use Lagrange Multipliers to solve the following: Maximize f(r,Y, z) = 4.x + 2y + z subject to r² + y…

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Q: ý = mx,+ m, X + mgx3+ b Derive the ordinary least square estimate for the intercept.

A: OLSE is used for estimating the unknown parameter in a regression model. It selects the parameters…

Q: Use Lagrange multipliers to find the shortest distance from the point (7, 0, −9) to the plane x + y…

A: The square of distance function is given by fx,y,z=x-72+y2+z+92 and the constraint is…

Q: i) Find dp(v5,Vs), dp(v2,V4), and dp(V2,Vg). ii) What is the maximum distance between any two…

A: From the given graph, we notice that the edges in the given graph are 1-3, 1-4, 1-6, 2-4, 2-5, 2-4,…

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

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Q: Use lagrange multipliers to find the max and min values of f(x,y) = 5x-4y subject to the constraint…

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Q: Use Lagrange multipliers to find the maximum and minimum of f(r, y) = 3r+y subject to a+y? = 10. %3D…

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Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function (4,3)…

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