LaGrange Multipliers:

I figured out how to do these a while back but now I can't remember and this book is horrible. Just a basic problem:

f(x,y) = x+3y+2, x^2+y^2=10

Find the max and min.

Question

LaGrange Multipliers:

I figured out how to do these a while back but now I can't remember and this book is horrible. Just a basic problem:

f(x,y) = x+3y+2, x^2+y^2=10

Find the max and min.

anonymous · Answer

Is the min (-1,-3) and the max (1,3)?

tkhunny · Answer

Create $$f(x,y,\lambda) = x + 3y + 2 -\lambda(x^{2}+y^{2}-10)$$  Find $$\frac{\partial f}{\partial x}$$$$\frac{\partial f}{\partial y}$$$$\frac{\partial f}{\partial \lambda}$$  Then what?

anonymous · Answer

Nevermind.

tkhunny · Answer

Too late.  It was already fun!

anonymous · Answer

Braha. These are fun once I remember that it is -c not +c.