(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the point on 2x + 3y + z - 11 = 0 for which 4x^2 +y^2 +z^2 is a minimum

2. Relevant equations

3. The attempt at a solution

Using lagrange multipliers I find:

F = 4x^2 + y^2 + z^2 + l(2x + 3y + z)

Finding the partial derivatives I get the three equations:

df/dx = 8x + 2l

df/dy= 2y + 3l

df/dz= 2z + l

This is where I am stuck, what are the next steps for solving the system of equations?

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# Homework Help: Lagrange multipliers and partial derivatives

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