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## Homework Statement

Find the maximum and minimum values of 3x+3y+2z on the sphere x^2+y^2+z^2=1 .

## Homework Equations

Use of LaGrange Multipliers (maybe?)

## The Attempt at a Solution

I have no idea if LaGrange multipliers is the way to go or not, but I took the partial derivative for x, y and z

Partial x = 3

Partial y = 3

Partial z = 2

Using LaGrange Multipliers

I then got the following equations:

3=lambda2x

3=lambda2y

2=lambda2z

Lambda being the LaGrange Multiplier I believe.

I also have the equation of the sphere or x^2+y^2+z^2=1

However, from here I had no idea where to go next. I tried to solve out the LaGrange Formulas but couldn't get a coherent answer. Am I on the right track or do I need to just forget LaGrange?