Question

Using the method of Lagrange Multipliers, find the point on the plane x+y−z=1 that is closest...

Using the method of Lagrange Multipliers, find the point on the plane x+y−z=1 that is closest to the point (0, −2, 1).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use Lagrange multipliers to find the point on the given plane that is closest to the...
Use Lagrange multipliers to find the point on the given plane that is closest to the following point. (Enter your answer as a fraction.) x - y + z = 2; (7, 7, 1)
Use Lagrange multipliers to find the point on the plane   x − 2y + 3z =...
Use Lagrange multipliers to find the point on the plane   x − 2y + 3z = 6 that is closest to the point (0, 2, 5). (x, y, z) =
1. Use the method of Lagrange multipliers to find the maximize of the function f (x,...
1. Use the method of Lagrange multipliers to find the maximize of the function f (x, y) = 25-x^2-y^2 subject to the constraint x + y =-1 2. Use the method of Lagrange multipliers to find the minimum of the function f (x, y) = y^2+6x subject to the constraint y-2x= 0
Using Lagrange multipliers, find the coordinates of the minimum point on the graph of z=x2+y2 subject...
Using Lagrange multipliers, find the coordinates of the minimum point on the graph of z=x2+y2 subject to the constraint 2x+y=20. Lagrange function (use k for lambda) L(x,y,k)= Lx(x,y,k)= Ly(x,y,k)= Lk(x,y,k)= Minimum Point (format (x,y,z)):
(Lagrange Multipliers with Three Variables) Find the global minimum value of f(x,y,z)=(x^2/4)+y^2 +(z^2/9) subject to x...
(Lagrange Multipliers with Three Variables) Find the global minimum value of f(x,y,z)=(x^2/4)+y^2 +(z^2/9) subject to x - y + z = 8. Now sketch level surfaces f(x,y,z) = k for k = 0; 1; 4 and the plane x-y +z = 8 on the same set of axes to help you explain why the point you found corresponds to a minimum value and why there will be no maximum value.
Use the method of Lagrange Multipliers to find the maximum value: f(x,y,z) = x2y2z2 subject to...
Use the method of Lagrange Multipliers to find the maximum value: f(x,y,z) = x2y2z2 subject to the constraint x2+y2+z2=1 no decimals permitted
use Lagrange multipliers to find the maximum of F(x,y,z)=xyz with the constraint H(x,y,z)=x^2+y^2+z^2-8=0
use Lagrange multipliers to find the maximum of F(x,y,z)=xyz with the constraint H(x,y,z)=x^2+y^2+z^2-8=0
Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces....
Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces. (double-check your answer!) Sphere: x2 + y2 + z2 = 30,    Plane: 2x + y − z = 4 (x, y, z) =
Use the method of Lagrange multipliers to find the minimum value of the function f(x,y,z)=x2+y2+z2 subject...
Use the method of Lagrange multipliers to find the minimum value of the function f(x,y,z)=x2+y2+z2 subject to the constraints x+y=10 and 2y−z=3.
Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces....
Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces. Sphere: x2 + y2 + z2 = 24,    Plane: 2x + y − z = 2