This was a question on my test yesterday and I was confused on how to do this. Could someone solve this one out for me?

Find a point on the sphere x^2 + y^2 + z^2 = 4 that is the farthest away from point (1,-1,1)

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- Nov 7th 2008, 08:48 AMJonathanEyoonLaGrange Multipliers
This was a question on my test yesterday and I was confused on how to do this. Could someone solve this one out for me?

**Find a point on the sphere x^2 + y^2 + z^2 = 4 that is the farthest away from point (1,-1,1)**

- Nov 7th 2008, 09:00 AMMoo
Hello,

Find an equation translating the "farthest away from point (1,-1,1)"

That is you want to maximize the distance from a point on the sphere to this point.

Let

Let

Define

f represents the constraint. That is if ,

Let be a Lagrange multiplier for this problem.

Define

Solve for in , that is to say :

- Nov 7th 2008, 09:24 AMJonathanEyoon
Uhhhmmm.. you lost me after the first line (Crying)

- Nov 7th 2008, 11:18 AMHallsofIvy