Solve the following problem using Lagrange multipliers. 1.) Find the critical points of f(x,y)= on the curve .
Thus, yeilding my three equations with three unknowns:
Solving the equations, I get the following:
Plugging these into the third equation yeilds:
This is where I'm stuck, how can (a positive number) plus (also a positive number) = -1 when added together. Can someone help me find my mistake so I can finish the problem? Thanks
Hello, dbakeg00!
I was taught a different method for Lagrange multipliers.
Solve, using Lagrange multipliers.
Find the critical points of: . on the curve
Set the partial derivatives equal to zero and solve.
. .
From [2]: .
Substitute into [1]: .
. .
Substitute into [3]: .
. .
Sustitute into [4]: .
The critical points are: .